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<front>
<journal-meta>
<journal-id journal-id-type="nlm-ta">Sensors</journal-id>
<journal-title>Sensors</journal-title>
<issn pub-type="epub">1424-8220</issn>
<publisher>
<publisher-name>Molecular Diversity Preservation International (MDPI)</publisher-name></publisher></journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3390/s90806362</article-id>
<article-id pub-id-type="publisher-id">sensors-09-06362</article-id>
<article-categories>
<subj-group>
<subject>Review</subject></subj-group></article-categories>
<title-group>
<article-title>Piezoelectric and Magnetoelectric Thick Films for Fabricating Power Sources in Wireless Sensor Nodes</article-title></title-group>
<contrib-group>
<contrib contrib-type="author">
<name><surname>Priya</surname><given-names>Shashank</given-names></name><xref ref-type="aff" rid="af1-sensors-09-06362"><sup>1</sup></xref><xref ref-type="corresp" rid="c1-sensors-09-06362"><sup>*</sup></xref></contrib>
<contrib contrib-type="author">
<name><surname>Ryu</surname><given-names>Jungho</given-names></name><xref ref-type="aff" rid="af2-sensors-09-06362"><sup>2</sup></xref></contrib>
<contrib contrib-type="author">
<name><surname>Park</surname><given-names>Chee-Sung</given-names></name><xref ref-type="aff" rid="af1-sensors-09-06362"><sup>1</sup></xref></contrib>
<contrib contrib-type="author">
<name><surname>Oliver</surname><given-names>Josiah</given-names></name><xref ref-type="aff" rid="af1-sensors-09-06362"><sup>1</sup></xref></contrib>
<contrib contrib-type="author">
<name><surname>Choi</surname><given-names>Jong-Jin</given-names></name><xref ref-type="aff" rid="af2-sensors-09-06362"><sup>2</sup></xref></contrib>
<contrib contrib-type="author">
<name><surname>Park</surname><given-names>Dong-Soo</given-names></name><xref ref-type="aff" rid="af2-sensors-09-06362"><sup>2</sup></xref></contrib></contrib-group>
<aff id="af1-sensors-09-06362">
<label>1</label> Center for Energy Harvesting Materials and Systems (CEHMS), Dept. of Materials Science and Engineering, Virginia Polytechnic Institute and State University, Blacksburg, VA 24061, USA; E-Mails: <email>pcs94@vt.edu</email> (C.-S.P.); <email>joolive1@vt.edu</email> (J.O.)</aff>
<aff id="af2-sensors-09-06362">
<label>2</label> Functional Ceramics Research Group, Korea Institute of Materials Science (KIMS), Changwon, Gyeongnam 641-831, Korea; E-Mails: <email>jhryu@kims.re.kr</email> (J.R.); <email>pds1590@kims.re.kr</email> (D.-S.P.)</aff>
<author-notes>
<corresp id="c1-sensors-09-06362">
<label>*</label>Author to whom correspondence should be addressed; 310 Durham Hall, Virginia Tech., Blacksburg, VA 24061; E-Mail: <email>spriya@vt.edu</email>; Tel.: +1-540-231-0745; Fax: +1-540-231-8919</corresp></author-notes>
<pub-date pub-type="collection">
<year>2009</year></pub-date>
<pub-date pub-type="epub">
<day>17</day>
<month>8</month>
<year>2009</year></pub-date>
<volume>9</volume>
<issue>8</issue>
<fpage>6362</fpage>
<lpage>6384</lpage>
<history>
<date date-type="received">
<day>23</day>
<month>7</month>
<year>2009</year></date>
<date date-type="rev-recd">
<day>10</day>
<month>8</month>
<year>2009</year></date>
<date date-type="accepted">
<day>11</day>
<month>8</month>
<year>2009</year></date></history>
<permissions>
<copyright-statement>© 2009 by the authors; licensee MDPI, Basel, Switzerland</copyright-statement>
<copyright-year>2009</copyright-year>
<license>
<p>This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution license (http://creativecommons.org/licenses/by/3.0/).</p></license></permissions>
<abstract>
<p>In this manuscript, we review the progress made in the synthesis of thick film-based piezoelectric and magnetoelectric structures for harvesting energy from mechanical vibrations and magnetic field. Piezoelectric compositions in the system Pb(Zr,Ti)O<sub>3</sub>–Pb(Zn<sub>1/3</sub>Nb<sub>2/3</sub>)O<sub>3</sub> (PZNT) have shown promise for providing enhanced efficiency due to higher energy density and thus form the base of transducers designed for capturing the mechanical energy. Laminate structures of PZNT with magnetostrictive ferrite materials provide large magnitudes of magnetoelectric coupling and are being targeted to capture the stray magnetic field energy. We analyze the models used to predict the performance of the energy harvesters and present a full system description.</p></abstract>
<kwd-group>
<kwd>piezoelectric</kwd>
<kwd>magnetoelectric</kwd>
<kwd>energy harvesting</kwd>
<kwd>thick films</kwd>
<kwd>MEMS</kwd></kwd-group></article-meta></front>
<body>
<sec sec-type="intro">
<label>1.</label>
<title>Introduction</title>
<p>Wireless sensor nodes are used in a wide spectrum of applications, ranging from the human body to the oceans to industrial machines. One can envision a personal health monitoring system where external sensor nodes measure the body temperature, pulse rate, and blood pressure and transmit the data to a PDA or another hand held wireless devices. Sensor nodes can also be implanted in the human body to monitor glucose levels and toxins, while communicating with outside control devices. In the ocean environment there are a variety of deployable wireless sensor networks that conduct operations such as surveillance, chemical and biological studies, and oil exploration. In case of industrial applications, a variety of sensors are utilized to monitor process and manufacturing operations including, gas, chemical, temperature, strain, humidity, motion, structural health, and explosives. In all these applications the lifetime of the sensor node is limited by the size of battery. In the case of implanted devices, the battery is inaccessible and thus other methods for powering the sensor nodes are required.</p>
<p>The advancement in CMOS-technology, IC manufacturing, and networking techniques utilizing Bluetooth communication have significantly reduced the total power requirements of wireless sensor nodes. The development of ultra-low-power components has lead to power requirements which are extremely small (microcontrollers ∼160 μA/MHz, sensor ∼120 μA, transceiver (RS-232) ∼3 mA, and transceiver (RS-485) ∼120 μA) [<xref ref-type="bibr" rid="b1-sensors-09-06362">1</xref>]. Recently, results have been reported on the development of wireless sensor nodes requiring power consumption of a few hundred microwatts. Such nodes will form the future of dense <italic>ad hoc</italic>-networks transmitting data from 1 to 10 meters. For communication over 10 meters, the sensor networks are projected to operate in a multi-hop fashion, replacing large transmission distances with multiple low power–low cost nodes [<xref ref-type="bibr" rid="b2-sensors-09-06362">2</xref>–<xref ref-type="bibr" rid="b8-sensors-09-06362">8</xref>]. In order for the nodes to be conveniently placed and used they should be as small as possible, which puts an upper limit on their lifetime. If an electronic device with a 1 cm<sup>3</sup> non-rechargeable lithium battery (at a max energy density of 2,880 J/cm<sup>3</sup> or 800 watt hour per liter) were to consume on average 100 μW of power, the device would last 333 days. A lifetime of approximately one year is not practical [<xref ref-type="bibr" rid="b9-sensors-09-06362">9</xref>]. Even though the nodes in the wireless network will be much smaller than the 1 cm<sup>3</sup> area, the power requirements will force them to use a battery of much larger size, enhancing the system volume. Clearly, there is an acute need for the development of alternative power sources [<xref ref-type="bibr" rid="b10-sensors-09-06362">10</xref>,<xref ref-type="bibr" rid="b11-sensors-09-06362">11</xref>].</p>
<p>The power requirement for commercially available transceivers such as Crossbow’s Mica series, Sentilla nodes and Dust Network nodes, varies between 25–150 mW in the active state and less than 10 mW in the sleep state. This power is consumed by processors, radio, and sensors, depending upon factors such as transmission and receive rate. The power consumed by processors can range from 0.2 nJ/instruction to 2 nJ/instruction at 35 kHz to 400 MHz. The power consumed by radio lies in the range of 150 nJ/bit for short distances. The sensor power requirement depends upon the mechanism utilized such as magnetic, piezoelectric, capacitive, etc. Piezoelectric and magnetoelectric sensors have the advantage that they are passive and consume power only for processing and radio, thus further reducing the energy budget.</p>
<p>In general, there are four possible ways to address the problem of powering the wireless sensor nodes, as follows: (1) enhance the energy density of storage systems; (2) reduce the power consumption of wireless nodes; (3) develop self-powered nodes by generating or scavenging power and (4) develop other novel methods for powering the nodes. Out of these various possible solutions the most efficient and practical method is to develop self-powered nodes by scavenging energy from the wasted ambient energy. <xref ref-type="table" rid="t1-sensors-09-06362">Table I</xref> shows the list of mechanical energy sources available in various scenarios which can be trapped for generating electricity locally. Recently, our focus has been on industrial machines as the source of energy and also the platform for implementing wireless health monitoring sensor network. In addition to vibrations, industrial machines are also source of stray magnetic fields which can be trapped for generating electricity using magnetoelectrics. Thus, the same device can convert both mechanical and magnetic energy into electricity.</p>
<p>Several commercial energy harvesting prototypes addressing the needs in industries ranging from housing to aircraft to industrial process monitoring systems have been demonstrated. <xref ref-type="fig" rid="f1-sensors-09-06362">Figure 1</xref> shows some of the prototypes that have been deployed on various platforms. <xref ref-type="fig" rid="f1-sensors-09-06362">Figure 1(a)</xref> shows the picture of enocean<sup>®</sup> “Pushbutton Transmitter Module” (PTM 200) which has been implemented in wall-mounted electrical switches as shown in <xref ref-type="fig" rid="f1-sensors-09-06362">Figure 1(c)</xref>. The transmitter generates power using the energy harvester similar to one shown in <xref ref-type="fig" rid="f1-sensors-09-06362">Figure 1(b)</xref> (ECO 100) which converts linear motion into electricity using an electromagnetic induction mechanism. The dimensions of harvester are 33.3 × 22.0 × 10.8 mm<sup>3</sup> and it can provide output pulse of up to 5 V from a force of 5 N with travel distance of 2 mm. <xref ref-type="fig" rid="f1-sensors-09-06362">Figure 1(c)</xref> shows the picture of a wall switch where devices like ECO 100 can find application. <xref ref-type="fig" rid="f1-sensors-09-06362">Figure 1(d)</xref> shows the picture of Virginia Tech’s “pen” which was found to generate power of 3 mW at 5 Hz and 1 mW at 3.5 Hz operating under displacement amplitude of 16 mm (corresponding to an acceleration of approximately 1.14 g<sub>rms</sub> at 5 Hz and 0.56 g<sub>rms</sub> at 3.5 Hz respectively) [<xref ref-type="bibr" rid="b12-sensors-09-06362">12</xref>]. The pen utilizes Faraday’s law of electromagnetic induction where a magnet oscillates inside a wound coil as shown in <xref ref-type="fig" rid="f1-sensors-09-06362">Figure 1(e)</xref>. The integrated pen harvester prototype was found to generate continuous power of 0.46–0.66 mW under normal human actions such as jogging and jumping, as shown in <xref ref-type="fig" rid="f1-sensors-09-06362">Figure 1(f)</xref>. <xref ref-type="fig" rid="f1-sensors-09-06362">Figure 1(g),(h)</xref> shows photographs of vibration energy harvesting heat stress nodes developed by MicroStrain Inc. for Navy applications. The module consists of miniature relative humidity (RH) sensor, a dry bulb temperature sensor and black body temperature sensor that combined provide data for determining each ship compartments’ wet bulb globe temperature (WBGT) and heat stress indexes. The vibration harvester was attached to an air compressor and tuned to work at 52 Hz sinusoidal vibration of amplitudes 30–40 milliG’s which was the predominant vibration frequency of machine. <xref ref-type="fig" rid="f1-sensors-09-06362">Figure 1(i)</xref> shows the picture of ship just to give an idea of working platform in terms of dimensions. <xref ref-type="fig" rid="f1-sensors-09-06362">Figure 1(j–k)</xref> shows picture of a tire pressure monitoring system (TPMS) developed by ASTRI [<xref ref-type="bibr" rid="b13-sensors-09-06362">13</xref>,<xref ref-type="bibr" rid="b14-sensors-09-06362">14</xref>]. <xref ref-type="fig" rid="f1-sensors-09-06362">Figure 1(l)</xref> shows the TPMS application platform where tire vibrations are being used to monitor pressure and transmit the data wirelessly. All these results shown in <xref ref-type="fig" rid="f1-sensors-09-06362">Figure 1</xref> clearly demonstrate the promise of vibration energy harvesting technologies.</p></sec>
<sec>
<label>2.</label>
<title>Vibration Energy Harvesting</title>
<p>Traditionally, a single degree of freedom (SDOF) vibrating mass-spring-damper base excitation system has been used to describe the magnitude of energy that can be harvested from a vibration source as shown in <xref ref-type="fig" rid="f2-sensors-09-06362">Figure 2</xref>. The equation of motion for the vibrating system is given as:
<disp-formula id="FD1">
<label>(1)</label>
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<p><xref ref-type="disp-formula" rid="FD1">Equation (1)</xref> can be rearranged in order to derive a differential equation for the relative motion, <italic>z</italic>(<italic>t</italic>), as a function of the base acceleration:
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<mml:mi>n</mml:mi></mml:msub>
<mml:msup>
<mml:mrow/>
<mml:mn>3</mml:mn></mml:msup></mml:mrow>
<mml:mrow>
<mml:mn>4</mml:mn>
<mml:msup>
<mml:mrow>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>ζ</mml:mi></mml:mrow>
<mml:mi>m</mml:mi></mml:msub>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>ζ</mml:mi></mml:mrow>
<mml:mi>e</mml:mi></mml:msub></mml:mrow>
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<mml:mn>2</mml:mn></mml:msup></mml:mrow></mml:mfrac></mml:mrow></mml:math></disp-formula>where the electrical power generated is equal to <italic>P<sub>e</sub>(ω)</italic>, the mechanical power dissipated is given by <italic>P<sub>m</sub>(ω)</italic>, and <italic>ξ<sub>e</sub></italic> and <italic>ξ<sub>m</sub></italic> are the electrical and mechanical damping ratios respectively of the harvester. The maximum power which can be generated by the electrical power takeoff system occurs when the electrical damping is equal to mechanical damping (<italic>ξ<sub>e</sub></italic> = <italic>ξ<sub>m</sub></italic>). Therefore the maximum electrical power which can be generated is given as [<xref ref-type="bibr" rid="b10-sensors-09-06362">10</xref>]:
<disp-formula id="FD5">
<label>(5)</label>
<mml:math display="block">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>P</mml:mi></mml:mrow>
<mml:mrow>
<mml:mi>e</mml:mi>
<mml:mo>,</mml:mo>
<mml:mtext>max</mml:mtext></mml:mrow></mml:msub>
<mml:mo> </mml:mo>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>ω</mml:mi></mml:mrow>
<mml:mi>n</mml:mi></mml:msub></mml:mrow>
<mml:mo stretchy="false">)</mml:mo></mml:mrow>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi>m</mml:mi>
<mml:msup>
<mml:mi>Y</mml:mi>
<mml:mn>2</mml:mn></mml:msup>
<mml:mo> </mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>ω</mml:mi></mml:mrow>
<mml:mi>n</mml:mi></mml:msub>
<mml:msup>
<mml:mrow/>
<mml:mn>3</mml:mn></mml:msup></mml:mrow>
<mml:mrow>
<mml:mn>16</mml:mn>
<mml:msub>
<mml:mrow>
<mml:mi>ζ</mml:mi></mml:mrow>
<mml:mi>m</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mrow></mml:math></disp-formula></p>
<p><xref ref-type="disp-formula" rid="FD5">Equation (5)</xref> represents the theoretical maximum amount of electrical power which can be dissipated in electrical load. Depending upon the amplitude, frequency range, operating temperature range, and lifetime, any of the five mechanisms, namely electromagnetic, piezoelectric, electrostatic, magnetoelectric and electrets, can be selected to convert available vibration energy into electricity. In this manuscript, we review the developments made in the field of piezoelectric and magnetoelectric energy harvesting, mainly focusing on thick films.</p>
<p>Materials performance plays key role in the design of harvester. Detailed analytical model for piezoelectric energy harvesting using bimorph transducer has been proposed by Oliver and Priya. <xref ref-type="fig" rid="f3-sensors-09-06362">Figure 3</xref> shows the block diagram form of a solution to illustrate the effect of mechanical system on electrical output and the feedback term with which the electrical system affects the mechanical vibration of system. The variables <italic>H<sub>r</sub></italic>(<italic>s</italic>), <italic>F<sub>r</sub></italic>(<italic>s</italic>) and <italic>U</italic>(<italic>s</italic>) are Laplace transforms of modal forcing, modal displacement, and output voltage. Using the block diagram, a transfer function from input forcing function to output voltage and displacement can be calculated. The transfer function from input base excitation force to output current can be calculated as:
<disp-formula id="FD6">
<label>(6)</label>
<mml:math display="block">
<mml:mrow>
<mml:mi>U</mml:mi>
<mml:mo stretchy="false">(</mml:mo>
<mml:mi>t</mml:mi>
<mml:mo stretchy="false">)</mml:mo>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mi>G</mml:mi>
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mo>+</mml:mo>
<mml:mi mathvariant="italic">GH</mml:mi></mml:mrow></mml:mfrac>
<mml:msub>
<mml:mi>F</mml:mi>
<mml:mi>r</mml:mi></mml:msub>
<mml:mo> </mml:mo>
<mml:mo stretchy="false">(</mml:mo>
<mml:mi>t</mml:mi>
<mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:math></disp-formula>where G is the through path which represents the generation of current from mechanical motion, and H is the feedback path which represents the electrical damping that system places on structure.</p>
<p>The output voltage and power for a series (a = 2) and parallel (a = 1) bimorph around the <italic>r<sup>th</sup></italic> mode can be reduced to the following equations [<xref ref-type="bibr" rid="b15-sensors-09-06362">15</xref>]:
<disp-formula id="FD7">
<label>(7)</label>
<mml:math display="block">
<mml:mrow>
<mml:mi>U</mml:mi>
<mml:mo stretchy="false">(</mml:mo>
<mml:mi>t</mml:mi>
<mml:mo stretchy="false">)</mml:mo>
<mml:mo>=</mml:mo>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:mi>j</mml:mi>
<mml:mi>ω</mml:mi>
<mml:msub>
<mml:mrow>
<mml:mi>κ</mml:mi></mml:mrow>
<mml:mi>r</mml:mi></mml:msub>
<mml:mo> </mml:mo>
<mml:mrow>
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<mml:mrow>
<mml:mfrac>
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<mml:mi>b</mml:mi></mml:msub></mml:mrow>
<mml:mi>L</mml:mi></mml:mfrac>
<mml:mo> </mml:mo>
<mml:mrow>
<mml:munderover>
<mml:mo>∫</mml:mo>
<mml:mn>0</mml:mn>
<mml:mi>L</mml:mi></mml:munderover>
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<mml:mi mathvariant="normal">Φ</mml:mi></mml:mrow>
<mml:mi>r</mml:mi></mml:msub>
<mml:mo> </mml:mo>
<mml:mo stretchy="false">(</mml:mo>
<mml:mi>x</mml:mi>
<mml:mo stretchy="false">)</mml:mo>
<mml:mi mathvariant="italic">dx</mml:mi>
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<mml:msub>
<mml:mi>M</mml:mi>
<mml:mi>t</mml:mi></mml:msub>
<mml:mo> </mml:mo>
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<mml:mi>r</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mrow>
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<mml:mo> </mml:mo>
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<mml:mrow>
<mml:mi>Y</mml:mi></mml:mrow>
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<mml:mo> </mml:mo>
<mml:msup>
<mml:mrow>
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<mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:math></disp-formula>
<disp-formula>
<mml:math display="block">
<mml:mrow>
<mml:msub>
<mml:mi>P</mml:mi>
<mml:mi mathvariant="italic">avg</mml:mi></mml:msub>
<mml:mo> </mml:mo>
<mml:mo stretchy="false">(</mml:mo>
<mml:mi>t</mml:mi>
<mml:mo stretchy="false">)</mml:mo>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msup>
<mml:mi>U</mml:mi>
<mml:mn>2</mml:mn></mml:msup></mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
<mml:msub>
<mml:mrow>
<mml:mi>R</mml:mi></mml:mrow>
<mml:mi>L</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mrow></mml:math></disp-formula>where Φ<italic><sub>r</sub></italic>(<italic>x</italic>) is the mode shape of the r<sup>th</sup> mode of cantilever beam, <italic>L</italic> is the length of beam, <italic>M<sub>t</sub></italic> is the seismic mass, <italic>M<sub>b</sub></italic> is mass of beam, <italic>U</italic> is the voltage across the load resistance and P<sub>avg</sub> is the power. The modal mechanical forcing term is given as:
<disp-formula id="FD8">
<label>(8)</label>
<mml:math display="block">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>f</mml:mi></mml:mrow>
<mml:mi>r</mml:mi></mml:msub>
<mml:mo> </mml:mo>
<mml:mo stretchy="false">(</mml:mo>
<mml:mi>t</mml:mi>
<mml:mo stretchy="false">)</mml:mo>
<mml:mo>=</mml:mo>
<mml:mo>−</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mi>M</mml:mi>
<mml:mi>b</mml:mi></mml:msub></mml:mrow>
<mml:mi>L</mml:mi></mml:mfrac>
<mml:mo> </mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msup>
<mml:mi>d</mml:mi>
<mml:mn>2</mml:mn></mml:msup>
<mml:mo> </mml:mo>
<mml:mi>y</mml:mi>
<mml:mo stretchy="false">(</mml:mo>
<mml:mi>t</mml:mi>
<mml:mo stretchy="false">)</mml:mo></mml:mrow>
<mml:mrow>
<mml:msup>
<mml:mi mathvariant="italic">dt</mml:mi>
<mml:mn>2</mml:mn></mml:msup></mml:mrow></mml:mfrac>
<mml:mo> </mml:mo>
<mml:munderover>
<mml:mo>∫</mml:mo>
<mml:mn>0</mml:mn>
<mml:mi>L</mml:mi></mml:munderover>
<mml:mo> </mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">Φ</mml:mi></mml:mrow>
<mml:mi>r</mml:mi></mml:msub>
<mml:mo> </mml:mo>
<mml:mo stretchy="false">(</mml:mo>
<mml:mi>x</mml:mi>
<mml:mo stretchy="false">)</mml:mo>
<mml:mi mathvariant="italic">dx</mml:mi>
<mml:mo>−</mml:mo>
<mml:msub>
<mml:mi>M</mml:mi>
<mml:mi>t</mml:mi></mml:msub>
<mml:mo> </mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">Φ</mml:mi></mml:mrow>
<mml:mi>r</mml:mi></mml:msub>
<mml:mo> </mml:mo>
<mml:mo stretchy="false">(</mml:mo>
<mml:mi>L</mml:mi>
<mml:mo stretchy="false">)</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msup>
<mml:mi>d</mml:mi>
<mml:mn>2</mml:mn></mml:msup>
<mml:mo> </mml:mo>
<mml:mi>y</mml:mi>
<mml:mo stretchy="false">(</mml:mo>
<mml:mi>t</mml:mi>
<mml:mo stretchy="false">)</mml:mo></mml:mrow>
<mml:mrow>
<mml:msup>
<mml:mi mathvariant="italic">dt</mml:mi>
<mml:mn>2</mml:mn></mml:msup></mml:mrow></mml:mfrac></mml:mrow></mml:math></disp-formula>The modal coupling term transducing modal velocity to current in the electrical equation is given as [<xref ref-type="bibr" rid="b15-sensors-09-06362">15</xref>]:
<disp-formula id="FD9">
<label>(9)</label>
<mml:math display="block">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>κ</mml:mi></mml:mrow>
<mml:mi>r</mml:mi></mml:msub>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>d</mml:mi></mml:mrow>
<mml:mrow>
<mml:mn>31</mml:mn></mml:mrow></mml:msub>
<mml:mo> </mml:mo>
<mml:msub>
<mml:mi>h</mml:mi>
<mml:mi mathvariant="italic">pc</mml:mi></mml:msub>
<mml:mo> </mml:mo>
<mml:mi>b</mml:mi></mml:mrow>
<mml:mrow>
<mml:msubsup>
<mml:mi>s</mml:mi>
<mml:mn>11</mml:mn>
<mml:mi>E</mml:mi></mml:msubsup></mml:mrow></mml:mfrac>
<mml:mo> </mml:mo>
<mml:munderover>
<mml:mo>∫</mml:mo>
<mml:mn>0</mml:mn>
<mml:mi>L</mml:mi></mml:munderover>
<mml:mo> </mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msup>
<mml:mi>d</mml:mi>
<mml:mn>2</mml:mn></mml:msup>
<mml:mo> </mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">Φ</mml:mi></mml:mrow>
<mml:mi>r</mml:mi></mml:msub>
<mml:mo> </mml:mo>
<mml:mo stretchy="false">(</mml:mo>
<mml:mi>x</mml:mi>
<mml:mo stretchy="false">)</mml:mo></mml:mrow>
<mml:mrow>
<mml:msup>
<mml:mi mathvariant="italic">dx</mml:mi>
<mml:mn>2</mml:mn></mml:msup></mml:mrow></mml:mfrac>
<mml:mo> </mml:mo>
<mml:mi mathvariant="italic">dx</mml:mi>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>d</mml:mi></mml:mrow>
<mml:mrow>
<mml:mn>31</mml:mn></mml:mrow></mml:msub>
<mml:mo> </mml:mo>
<mml:msub>
<mml:mi>h</mml:mi>
<mml:mi mathvariant="italic">pc</mml:mi></mml:msub>
<mml:mo> </mml:mo>
<mml:mi>b</mml:mi></mml:mrow>
<mml:mrow>
<mml:msubsup>
<mml:mi>s</mml:mi>
<mml:mn>11</mml:mn>
<mml:mi>E</mml:mi></mml:msubsup></mml:mrow></mml:mfrac>
<mml:mo> </mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi>d</mml:mi>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">Φ</mml:mi></mml:mrow>
<mml:mi>r</mml:mi></mml:msub>
<mml:mo> </mml:mo>
<mml:mo stretchy="false">(</mml:mo>
<mml:mi>x</mml:mi>
<mml:mo stretchy="false">)</mml:mo></mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">dx</mml:mi></mml:mrow></mml:mfrac>
<mml:mrow>
<mml:mo>|</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mrow/>
<mml:mrow>
<mml:mi>x</mml:mi>
<mml:mo>=</mml:mo>
<mml:mi>L</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mrow></mml:mrow></mml:math></disp-formula>where <italic>h<sub>pc</sub></italic> is the distance from the ceramic centerline to the neutral axis. The backward modal coupling creating the electrical damping on mechanical structure is given as:
<disp-formula id="FD10">
<label>(10)</label>
<mml:math display="block">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>χ</mml:mi></mml:mrow>
<mml:mi>r</mml:mi></mml:msub>
<mml:mo>=</mml:mo>
<mml:mi>ϑ</mml:mi>
<mml:mo> </mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi>d</mml:mi>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">Φ</mml:mi></mml:mrow>
<mml:mi>r</mml:mi></mml:msub>
<mml:mo> </mml:mo>
<mml:mo stretchy="false">(</mml:mo>
<mml:mi>x</mml:mi>
<mml:mo stretchy="false">)</mml:mo></mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">dx</mml:mi></mml:mrow></mml:mfrac>
<mml:mo> </mml:mo>
<mml:msub>
<mml:mo stretchy="false">|</mml:mo>
<mml:mrow>
<mml:mi>x</mml:mi>
<mml:mo>=</mml:mo>
<mml:mi>L</mml:mi></mml:mrow></mml:msub>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mn>1</mml:mn>
<mml:mrow>
<mml:msubsup>
<mml:mi>s</mml:mi>
<mml:mn>11</mml:mn>
<mml:mi>E</mml:mi></mml:msubsup></mml:mrow></mml:mfrac>
<mml:mo> </mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>d</mml:mi></mml:mrow>
<mml:mrow>
<mml:mn>31</mml:mn></mml:mrow></mml:msub>
<mml:mo> </mml:mo>
<mml:mi>b</mml:mi></mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="italic">ah</mml:mi></mml:mrow>
<mml:mi>p</mml:mi></mml:msub></mml:mrow></mml:mfrac>
<mml:mo> </mml:mo>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mi>h</mml:mi></mml:mrow>
<mml:mi>s</mml:mi>
<mml:mn>2</mml:mn></mml:msubsup></mml:mrow>
<mml:mn>4</mml:mn></mml:mfrac>
<mml:mo>−</mml:mo>
<mml:msup>
<mml:mrow>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>h</mml:mi></mml:mrow>
<mml:mi>p</mml:mi></mml:msub>
<mml:mo>+</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>h</mml:mi></mml:mrow>
<mml:mi>s</mml:mi></mml:msub></mml:mrow>
<mml:mn>2</mml:mn></mml:mfrac></mml:mrow>
<mml:mo>)</mml:mo></mml:mrow></mml:mrow>
<mml:mn>2</mml:mn></mml:msup></mml:mrow>
<mml:mo>)</mml:mo></mml:mrow>
<mml:mo> </mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi>d</mml:mi>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">Φ</mml:mi></mml:mrow>
<mml:mi>r</mml:mi></mml:msub>
<mml:mo> </mml:mo>
<mml:mo stretchy="false">(</mml:mo>
<mml:mi>x</mml:mi>
<mml:mo stretchy="false">)</mml:mo></mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">dx</mml:mi></mml:mrow></mml:mfrac>
<mml:msub>
<mml:mo stretchy="false">|</mml:mo>
<mml:mrow>
<mml:mi>x</mml:mi>
<mml:mo>=</mml:mo>
<mml:mi>L</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math></disp-formula>where <italic>h<sub>s</sub></italic> and <italic>h<sub>p</sub></italic> are the thicknesses of the piezoceramic and substructure layers, 
<inline-formula>
<mml:math>
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mi>s</mml:mi></mml:mrow>
<mml:mrow>
<mml:mn>11</mml:mn></mml:mrow>
<mml:mi>E</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula> is the modulus of elasticity for the ceramic, <italic>d</italic><sub>31</sub> is the piezoelectric constant, b is the width of the beam, and a = 1 (for bimorph layers connected in parallel), a = 2 (for bimorph layers connected in series) [<xref ref-type="bibr" rid="b15-sensors-09-06362">15</xref>]. The capacitance of bimorph is given as:
<disp-formula id="FD11">
<label>(11)</label>
<mml:math display="block">
<mml:mrow>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mi>p</mml:mi></mml:msub>
<mml:mo>=</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi>ε</mml:mi>
<mml:mi mathvariant="italic">bL</mml:mi></mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>h</mml:mi></mml:mrow>
<mml:mi>p</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mrow></mml:math></disp-formula></p>
<p>Using <xref ref-type="disp-formula" rid="FD7">Equations (7)</xref>–<xref ref-type="disp-formula" rid="FD11">(11)</xref>, it can be shown that piezoelectric material with high <italic>d</italic><sub>31</sub>, and <italic>g</italic><sub>31</sub>, and low loss is required for bimorph transducer. The loss in piezoelectric material is mainly related to dielectric and electromechanical losses. These parameters contribute to the electrical damping.</p>
<p>Dong <italic>et al</italic>. have presented the equivalent circuit model for magnetoelectric energy harvester as shown in <xref ref-type="fig" rid="f4-sensors-09-06362">Figure 4</xref>. Based upon this model, the induced voltage (<italic>V</italic><sub>induced</sub>) across the dielectric layer under open circuit condition can be given as [<xref ref-type="bibr" rid="b16-sensors-09-06362">16</xref>]:
<disp-formula id="FD12">
<label>(12)</label>
<mml:math display="block">
<mml:mrow>
<mml:msub>
<mml:mi>V</mml:mi>
<mml:mi mathvariant="italic">induced</mml:mi></mml:msub>
<mml:mo>=</mml:mo>
<mml:mo>−</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>ϕ</mml:mi></mml:mrow>
<mml:mi>p</mml:mi></mml:msub>
<mml:mo> </mml:mo>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mi>Z</mml:mi>
<mml:mi>c</mml:mi></mml:msub></mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mi>Z</mml:mi>
<mml:mi>m</mml:mi></mml:msub></mml:mrow></mml:mfrac></mml:mrow>
<mml:mo>)</mml:mo></mml:mrow>
<mml:mrow>
<mml:mo stretchy="false">(</mml:mo>
<mml:mrow>
<mml:mi>F</mml:mi>
<mml:mo>+</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>ϕ</mml:mi></mml:mrow>
<mml:mi>m</mml:mi></mml:msub>
<mml:mo> </mml:mo>
<mml:mi>H</mml:mi></mml:mrow>
<mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:mrow></mml:math></disp-formula>where <italic>φ</italic><sub>p</sub> is the electromechanical coupling factor, <italic>φ</italic><sub>m</sub> is the magneto-elastic coupling factor, Z<sub>C</sub> is the capacitance impedance (Z<sub>c</sub> = 1/<italic>jωpC</italic><sub>0</sub>) and <italic>Z</italic><sub>m</sub> is the mechanical impedance. The negative “—” sign indicates the reversal of phase between the applied F (or H) and the induced voltage V<sub>induced</sub>. It can be seen from <xref ref-type="disp-formula" rid="FD12">Equation (12)</xref> that a high electromagnetic coupling and magneto-elastic coupling is required to harvest the vibration and magnetic field simultaneously.</p></sec>
<sec>
<label>3.</label>
<title>Piezoelectric Thick Films for Energy Harvesting</title>
<p><xref ref-type="fig" rid="f5-sensors-09-06362">Figure 5</xref> highlights the application spectrum of piezoelectric thin/thick films. Piezoelectric thick films with thickness range of 1–100 μm have been used in devices such as micro-fluidics, micropumps, accelerometers, and energy harvesters. In addition to energy harvesters, other microelectromechanical systems (MEMS) such as accelerometers, acoustic sensors, and infrared detectors also require dense, crack-free piezoelectric thick films [<xref ref-type="bibr" rid="b17-sensors-09-06362">17</xref>–<xref ref-type="bibr" rid="b25-sensors-09-06362">25</xref>]. However, synthesis of thick films is complex, as it is more susceptible to cracks by thermal stresses induced by difference in thermal expansion coefficients between the film and substrate [<xref ref-type="bibr" rid="b26-sensors-09-06362">26</xref>,<xref ref-type="bibr" rid="b27-sensors-09-06362">27</xref>]. Another important parameter for enhancement of ferroelectric and piezoelectric properties of films is texture. It is well known that electromechanical properties of Pb(Zr,Ti)O<sub>3</sub> (PZT) film strongly depends on crystallographic orientation [<xref ref-type="bibr" rid="b28-sensors-09-06362">28</xref>–<xref ref-type="bibr" rid="b30-sensors-09-06362">30</xref>]. Piezoelectric properties of (001) oriented rhombohedral PZT films near morphotropic phase boundary (MPB) are superior than those of (111) oriented films over the entire composition range [<xref ref-type="bibr" rid="b31-sensors-09-06362">31</xref>–<xref ref-type="bibr" rid="b35-sensors-09-06362">35</xref>].</p>
<p>In order to fabricate high quality thin/thick PZT films, chemical or physical deposition methods such as sputtering, pulsed laser deposition (PLD), metal organic chemical deposition (MOCVD), sol-gel, tape casting, and screen printing have been employed [<xref ref-type="bibr" rid="b36-sensors-09-06362">36</xref>–<xref ref-type="bibr" rid="b39-sensors-09-06362">39</xref>]. Published techniques for synthesis of PZT thin films can be divided into two categories, those that use <italic>in-situ</italic> crystallization (i.e., crystallization during deposition) and those that involve post-deposition crystallization. MOCVD and physical deposition at elevated temperatures fall into the former category [<xref ref-type="bibr" rid="b36-sensors-09-06362">36</xref>]. For <italic>in-situ</italic> crystallization, oxygen partial pressure is known to be a critical process control parameter. The second category includes most chemical and low temperature physical deposition techniques [<xref ref-type="bibr" rid="b37-sensors-09-06362">37</xref>–<xref ref-type="bibr" rid="b39-sensors-09-06362">39</xref>]. Pre- and post-crystallization processes are also known to influence the nucleation, microstructure, texture, and electrical properties of PZT films.</p>
<p>Synthesis of crack-free thick films by using PLD, sputtering, and sol-gel requires careful optimization of various synthesis parameters [<xref ref-type="bibr" rid="b40-sensors-09-06362">40</xref>–<xref ref-type="bibr" rid="b43-sensors-09-06362">43</xref>]. Park <italic>et al</italic>. have reported (100)-oriented 8 μm crack-free thick film using sol-gel route, as shown in <xref ref-type="fig" rid="f6-sensors-09-06362">Figure 6</xref> [<xref ref-type="bibr" rid="b41-sensors-09-06362">41</xref>]. By controlling the pyrolysis steps, they were able to obtain preferred orientation and by using an organic additive [polyvinylpyrrolidone (PVP)] they were able to increase the thickness of film. Using the combination of these two parameters, 8-μm-thick films with (111) or (100) texture were successfully synthesized.</p>
<p>A combinatory process of sputtering and sol-gel with controlled nucleation and growth has been used to synthesize 5 μm thick (100)-oriented high quality films exhibiting longitudinal piezoelectric coefficient of &gt;300 pC/N [<xref ref-type="bibr" rid="b42-sensors-09-06362">42</xref>,<xref ref-type="bibr" rid="b43-sensors-09-06362">43</xref>]. The microstructure and orientation of films was adjusted by first synthesizing a thin seed layer derived from sol-gel method, and then subsequent depositions by sputtering. The seed layer had the same composition as other PZT layers. Initially, when a sputtered thin layer was deposited on seed layer, the film had small grains with columnar structure; however, as the deposited film became thicker, it developed a large non-columnar grain structure with lateral growth, as shown in <xref ref-type="fig" rid="f7-sensors-09-06362">Figure 7a,b</xref>. The size of grains near the surface was larger than that near the substrate, indicating that grain boundary pinning effect becomes smaller as the distance from seed layer increases. Based on this observation, a multi-sputtering process was developed [<xref ref-type="bibr" rid="b43-sensors-09-06362">43</xref>].</p>
<p>By reducing the thickness of film in each deposition step, its columnar microstructure was maintained, as shown in <xref ref-type="fig" rid="f7-sensors-09-06362">Figure 7c,d</xref>. Simultaneous optimization of both seed layer and multi-step sputtering process allowed suppressing the crack generation process. It was found that when the film had small in-plane grain size and fibrous columnar structure, the crack generation process was suppressed due to increase in strength and structural stability. Consequently, thickness of PZT film with (100) orientation was markedly increased up to 5 μm which also increased the piezoelectric properties [<xref ref-type="bibr" rid="b43-sensors-09-06362">43</xref>].</p>
<p>Piezoelectric properties were found to improve as the film thickness was increased [<xref ref-type="bibr" rid="b41-sensors-09-06362">41</xref>–<xref ref-type="bibr" rid="b43-sensors-09-06362">43</xref>]. This phenomenon is mainly related to reduction in clamping and damping effects of substrate [<xref ref-type="bibr" rid="b44-sensors-09-06362">44</xref>–<xref ref-type="bibr" rid="b47-sensors-09-06362">47</xref>]. Substrate clamping restricts the domain motion under applied electric field. However, it is difficult to directly associate the change in piezoelectric properties with degree of clamping in films, because these properties also depend of other microstructural variables such as grain size, grain shape, porosity, and texture [<xref ref-type="bibr" rid="b41-sensors-09-06362">41</xref>,<xref ref-type="bibr" rid="b44-sensors-09-06362">44</xref>–<xref ref-type="bibr" rid="b47-sensors-09-06362">47</xref>]. The degree of clamping is often approximated by measuring the residual stress in films [<xref ref-type="bibr" rid="b41-sensors-09-06362">41</xref>,<xref ref-type="bibr" rid="b47-sensors-09-06362">47</xref>]. Substrate clamping can be reduced if the films are in free-standing state [<xref ref-type="bibr" rid="b48-sensors-09-06362">48</xref>]. Recently, we have demonstrated systematic change in piezoelectric properties by synthesizing and measuring properties of three separate structures, clamped, island, and free-standing, as shown in <xref ref-type="fig" rid="f8-sensors-09-06362">Figure 8</xref> [<xref ref-type="bibr" rid="b48-sensors-09-06362">48</xref>]. The results showed that both lateral clamping as well as substrate clamping play an important role in controlling the ferroelectric response.</p>
<p>Akedo <italic>et al</italic>. have introduced aerosol-deposition (AD) technique for synthesizing thick films [<xref ref-type="bibr" rid="b49-sensors-09-06362">49</xref>,<xref ref-type="bibr" rid="b50-sensors-09-06362">50</xref>]. This technique can provide crack-free dense thin and thick films with thicknesses ranging from submicrometer to several hundred micrometer with very fast deposition rates. <xref ref-type="fig" rid="f9-sensors-09-06362">Figure 9</xref> shows a schematic diagram of an AD system, which consists of a carrier gas supply system with mass flow control, powder chamber containing the ceramic powder, and deposition chamber with motored X–Y stage and nozzle evacuated by rotary vacuum pump with mechanical booster. These three parts are all connected by a tube. The aerosol chamber contains the starting powders, which are mixed with a carrier gas to form an aerosol. The deposition chamber is devised for film formation. This chamber is connected with a vacuum system including a rotary vacuum pump and a mechanical booster pump. During deposition, the deposition chamber is evacuated by the vacuum system, and therefore a pressure difference between the aerosol chamber and deposition chamber is produced. The aerosolized ceramic particles from the aerosol chamber are delivered to the deposition chamber by carrier gas due to the pressure differential between the two chambers. The particles are accelerated and ejected through a slit-type nozzle, impacted onto a substrate to form a dense film in the deposition chamber. Particle velocity can be controlled by the carrier gas flow rate. The desired film thickness and deposition area can be obtained by scanning the substrate on motorized X-Y-Z stage. Fine patterning for the film is also possible by inserting a mask between the nozzle and the substrate.</p>
<p>AD is called as room temperature impact consolidation (RTIC) because dense films are formed by collision of fine particles with substrate at room temperature. However, actual deposition mechanism has not yet been established [<xref ref-type="bibr" rid="b49-sensors-09-06362">49</xref>,<xref ref-type="bibr" rid="b50-sensors-09-06362">50</xref>]. Considering previous studies on AD, it can be simply presumed that during collision with substrate, particles are broken into smaller pieces, rebound and impact each other, and then form the continuous film [<xref ref-type="bibr" rid="b49-sensors-09-06362">49</xref>,<xref ref-type="bibr" rid="b50-sensors-09-06362">50</xref>]. Consequently, the deposition of particles by AD appears to be largely dependent on kinetic energy and fracture energy of the primary particle, and therefore particle diameter and mechanical properties of particle such as strength are considered as important factors in producing dense high-quality AD film [<xref ref-type="bibr" rid="b49-sensors-09-06362">49</xref>].</p>
<p>Park <italic>et al</italic>. have implemented this technique on various material systems including PZT-based compositions and realized highly dense and well-crystallized piezoelectric thick films of up to 100 μm thickness as shown in <xref ref-type="fig" rid="f10-sensors-09-06362">Figure 10</xref> [<xref ref-type="bibr" rid="b51-sensors-09-06362">51</xref>–<xref ref-type="bibr" rid="b54-sensors-09-06362">54</xref>]. In terms of deposition area, PZT films up to 150 × 150 mm<sup>2</sup> can be fabricated by AD with a 150 mm nozzle, as shown in <xref ref-type="fig" rid="f11-sensors-09-06362">Figure 11</xref>. Recently, 300 × 300 mm<sup>2</sup> TiO<sub>2</sub> photocatalytic thin films have been deposited by AD, which indicate the future possibility of fabricating PZT films on 12” wafers. AD-piezoelectric thick films exhibit excellent piezoelectric properties due to high density and minimized substrate clamping. AD process can also be used to induce dopants into the film in order to tailor the specific properties. For example, Zhang <italic>et al</italic>. [<xref ref-type="bibr" rid="b55-sensors-09-06362">55</xref>] have reported that Mn doping in PZT thin films increases hysteretic properties and reduces fatigue. Recently, we have demonstrated hard piezoelectric (PZT-PZN-Mn) thick films (∼10 μm) by AD technique [<xref ref-type="bibr" rid="b56-sensors-09-06362">56</xref>] which opens possibilities to design high energy density compositions.</p>
<sec>
<label>3.1.</label>
<title>Piezoelectric Micro-Generators for Wireless Sensor Nodes</title>
<p>Piezoelectric micro-generators have higher energy density compared to other mechanisms such as electrostatic, and electromagnetic ones [<xref ref-type="bibr" rid="b57-sensors-09-06362">57</xref>–<xref ref-type="bibr" rid="b59-sensors-09-06362">59</xref>]. PZT films have been widely used for fabricating harvesters because of their superior effective piezoelectric constant [<xref ref-type="bibr" rid="b24-sensors-09-06362">24</xref>,<xref ref-type="bibr" rid="b25-sensors-09-06362">25</xref>,<xref ref-type="bibr" rid="b60-sensors-09-06362">60</xref>–<xref ref-type="bibr" rid="b63-sensors-09-06362">63</xref>]. Jeon <italic>et al</italic>. demonstrated a d<sub>33</sub> mode power generating device with interdigitated electrodes that can deliver 1.0 μW from 10.8g vibration amplitude at resonant frequency of 13.9 kHz [<xref ref-type="bibr" rid="b24-sensors-09-06362">24</xref>]. However in most cases, the vibrations available for harvesting energy lie in the low frequency range of 50–150 Hz [<xref ref-type="bibr" rid="b58-sensors-09-06362">58</xref>,<xref ref-type="bibr" rid="b59-sensors-09-06362">59</xref>]. Fang <italic>et al</italic>. [<xref ref-type="bibr" rid="b60-sensors-09-06362">60</xref>] have demonstrated a MEMS-based PZT cantilever structure with Ni proof mass that was found to generate 2.16 μW power from 1g vibration at the resonance frequency of 609 Hz. Shen <italic>et al</italic>. [<xref ref-type="bibr" rid="b25-sensors-09-06362">25</xref>] have studied a d<sub>31</sub> mode harvester with embedded Si proof mass which was found to generate 2.15 μW power from 2g vibration at resonance frequency of 461.15 Hz. Liu <italic>et al</italic>. [<xref ref-type="bibr" rid="b61-sensors-09-06362">61</xref>] have reported micro-generators using varying length of beams in order to realize broadband behavior. The prototype was found to generate 3.98 μW power from 0.5 g vibration in the frequency range of 226 to 234 Hz. Renaud <italic>et al</italic>. [<xref ref-type="bibr" rid="b62-sensors-09-06362">62</xref>] have reported a PZT based MEMS harvester with maximum power of 40 μW at 1.8 kHz. Important characteristics of reported MEMS based piezoelectric harvesters are summarized in <xref ref-type="table" rid="t2-sensors-09-06362">Table 2</xref>.</p>
<p>There are two piezoelectric modes (d<sub>31</sub> and d<sub>33</sub>) commonly used for MEMS based piezoelectric transducers as shown in <xref ref-type="fig" rid="f12-sensors-09-06362">Figure 12(a),(b)</xref>. <xref ref-type="fig" rid="f13-sensors-09-06362">Figure 13</xref> shows the cross-sectional views of these piezoelectric modes [<xref ref-type="bibr" rid="b24-sensors-09-06362">24</xref>,<xref ref-type="bibr" rid="b64-sensors-09-06362">64</xref>] and <xref ref-type="disp-formula" rid="FD13">Equations (13)</xref> and <xref ref-type="disp-formula" rid="FD14">(14)</xref> are the representative relationship between stress σ<sub>XX</sub> (or strain <italic>x</italic><sub>3</sub>) and electric field E<sub>i</sub> (or voltage V<sub>3i</sub>).
<disp-formula id="FD13">
<label>(13)</label>
<mml:math display="block">
<mml:mrow>
<mml:msub>
<mml:mi>x</mml:mi>
<mml:mn>3</mml:mn></mml:msub>
<mml:mo>=</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>d</mml:mi></mml:mrow>
<mml:mrow>
<mml:mn>3</mml:mn>
<mml:mi>i</mml:mi></mml:mrow></mml:msub>
<mml:mo> </mml:mo>
<mml:msub>
<mml:mi>E</mml:mi>
<mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></disp-formula>
<disp-formula id="FD14">
<label>(14)</label>
<mml:math display="block">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>V</mml:mi></mml:mrow>
<mml:mrow>
<mml:mn>3</mml:mn>
<mml:mi>i</mml:mi></mml:mrow></mml:msub>
<mml:mo>=</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>σ</mml:mi></mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">xx</mml:mi></mml:mrow></mml:msub>
<mml:mo> </mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>g</mml:mi></mml:mrow>
<mml:mrow>
<mml:mn>3</mml:mn>
<mml:mi>i</mml:mi></mml:mrow></mml:msub>
<mml:mo> </mml:mo>
<mml:msub>
<mml:mi>L</mml:mi>
<mml:mi>i</mml:mi></mml:msub></mml:mrow></mml:math></disp-formula>where <italic>x</italic><sub>3</sub> is strain, <italic>V</italic><sub>3i</sub> is the open circuit voltage, <italic>d</italic><sub>3i</sub> (V/m) and <italic>g</italic><sub>3i</sub> (Vm/N) are piezoelectric constants, and <italic>L<sub>i</sub></italic> is the distance between electrodes which could be either thickness of piezoelectric (<italic>t</italic><sub>piezo</sub>) or <italic>L</italic>. The generated open-circuit voltage of a <italic>d</italic><sub>33</sub> type device will be much higher than that of the <italic>d</italic><sub>31</sub> type generator of similar beam dimensions.</p>
<p>Since the mass of a MEMS scale device is small, the operating frequency ranges are quite high, in the range of ∼kHz. In order to overcome this problem, the natural tendency has been to increase the tip mass of the cantilever [<xref ref-type="bibr" rid="b25-sensors-09-06362">25</xref>,<xref ref-type="bibr" rid="b60-sensors-09-06362">60</xref>,<xref ref-type="bibr" rid="b61-sensors-09-06362">61</xref>]. However, this affects the mechanical integrity and lifetime of harvester. Choi <italic>et al</italic>. [<xref ref-type="bibr" rid="b65-sensors-09-06362">65</xref>] have recently proposed various possible designs such as spiral to reduce the operating frequency range. This is an important area of research in MEMS harvester in order to expand the applicability in common scenarios.</p></sec></sec>
<sec>
<label>4.</label>
<title>Magnetoelectric Composites: Thick and Thin Film</title>
<p>Magnetoelectric (ME) effect can be described as an induced electric polarization in a material when a magnetic field is applied to it, or an induced magnetization in a material when an electric field is applied to it [<xref ref-type="bibr" rid="b66-sensors-09-06362">66</xref>–<xref ref-type="bibr" rid="b69-sensors-09-06362">69</xref>]. ME effect can be described as the product property of piezoelectric and piezomagnetic effects [<xref ref-type="bibr" rid="b70-sensors-09-06362">70</xref>], or as the product property of pyroelectric and pyromagnetic effects [<xref ref-type="bibr" rid="b71-sensors-09-06362">71</xref>]. Most of the ferromagnetic materials show magnetostrictive effect, however, piezomagnetic effect in these materials has not been observed. This implies that the strain caused by magnetic field in these materials is not linearly proportional to the field strength but to the square of magnetic field strength.</p>
<p>For energy harvesting applications, ME composite structures can be used to enhance the generated power from the micro-generator. The ME product property can be exploited to generate electricity from unused magnetic fields around electric motors and additionally from their mechanical vibrations. ME composites can also be used to convert the vibration energy into electricity with higher efficiency. In a simple design, the vibrations can be used to rotate a mechanical assembly which consists of magnets thereby creating the oscillating magnetic field [<xref ref-type="bibr" rid="b72-sensors-09-06362">72</xref>]. Ferro Solutions has demonstrated a device based on this approach which was able to provide an energy density of 2.0 mW/cm<sup>3</sup> at 21 Hz and 100 mG. There has been significant advances in improving the magnitude of ME coefficient of laminates which makes this technique promising. A combined magnetic and vibration energy harvesting device may be implemented on silicon using the thin film deposition methods and fabrication process flow described earlier and combining with micro-machining technique.</p>
<p>Recently, multiferroic nanocomposite thin films of ferroelectric and magnetostrictive materials have been reported motivated by the work of Zheng <italic>et al.</italic> [<xref ref-type="bibr" rid="b73-sensors-09-06362">73</xref>–<xref ref-type="bibr" rid="b75-sensors-09-06362">75</xref>], via physical deposition methods such as pulsed laser deposition (PLD) and chemical solution methods such as sol-gel spin coating. From microstructural point of view there are three kinds of nanostructured composite films, i.e., (i) 3-0 structures with magnetic spinel nanoparticles embedded in the ferroelectric films [<xref ref-type="bibr" rid="b76-sensors-09-06362">76</xref>,<xref ref-type="bibr" rid="b77-sensors-09-06362">77</xref>], (ii) 1–3 heterostructures (vertical heterostructures) consisting of magnetic spinel pillars vertically embedded into ferroelectric films [<xref ref-type="bibr" rid="b73-sensors-09-06362">73</xref>,<xref ref-type="bibr" rid="b75-sensors-09-06362">75</xref>], and (iii) 2–2 heterostructures (horizontal nanostructures) consisting of alternating layers of ferroelectric perovskite and magnetic oxide [<xref ref-type="bibr" rid="b78-sensors-09-06362">78</xref>,<xref ref-type="bibr" rid="b79-sensors-09-06362">79</xref>], as shown in <xref ref-type="fig" rid="f12-sensors-09-06362">Figure 12</xref>. Wan <italic>et al.</italic> [<xref ref-type="bibr" rid="b76-sensors-09-06362">76</xref>] synthesized PZT-CoFe<sub>2</sub>O<sub>4</sub> (CFO) composite thin film using sol-gel process and spin-coating technique. The films exhibited both good magnetic and ferroelectric properties, and the ME effect of these films was found to be strongly dependent on magnetic bias and magnetic field frequency. Zheng <italic>et al.</italic> [<xref ref-type="bibr" rid="b73-sensors-09-06362">73</xref>–<xref ref-type="bibr" rid="b75-sensors-09-06362">75</xref>] reported composite films where arrays of magnetic CFO nanopillars with diameters of 20–30 nm were embedded in a ferroelectric BTO matrix. Other combinations of PbTiO3–CoFe<sub>2</sub>O<sub>4</sub> and BiFeO<sub>3</sub>–CoFe<sub>2</sub>O<sub>4</sub> have also been grown on SrTiO<sub>3</sub> single crystal substrates. These composite films have been found to exhibit excellent ferroelectric and ferromagnetic properties but there is no ME coupling. It seems that these structures have significant leakage which restricts the poling process. On the other hand, 3-0 and 2–2 heterostructures have been found to exhibit finite ME coupling due to the fact that leakage problem of magnetic phase can be avoided by controlling the volume fraction.</p>
<p>Recently, we have successfully implemented AD process to fabricate ME composite thick films [<xref ref-type="bibr" rid="b80-sensors-09-06362">80</xref>]. A highly dense 3-2 nanocomposite ME thick films of PZT-PZN and (Ni,Cu,Zn)Fe<sub>2</sub>O<sub>4</sub> (NCZF) with thickness of over 10 μm was synthesized on platinized silicon substrate at RT. The schematic and TEM microstructure is shown in <xref ref-type="fig" rid="f15-sensors-09-06362">Figures 15(a–b)</xref>. The fabricated nanocomposite film showed well dispersed laminated magnetic NCZF platelets inside PZT-PZN piezoelectric matrix. This structure eliminated the leakage problems found in 1–3 ME composite films and minimized substrate clamping effect, thus resulting in improved ME coefficient of 150 mV/cm·Oe as shown in <xref ref-type="fig" rid="f15-sensors-09-06362">Figure 15(c)</xref>. In addition to ME characteristics, the deposition rate of ME films was exceptionally higher (over 1 μm/min) than other conventional thin film process.</p></sec>
<sec sec-type="conclusions">
<label>5.</label>
<title>Conclusions</title>
<p>We presented the review on prototype commercial vibration energy harvesters and their suitability for wireless sensor networks. A brief discussion was presented on modeling of vibration energy harvesters. Using the analytical models, it was shown that piezoelectric material with high d<sub>31</sub> and g<sub>31</sub>, with low loss is required for bimorph transducer while high electromagnetic coupling and magneto-elastic coupling is required to harvest the vibration and magnetic field simultaneously using magnetoelectric composites. An in-depth discussion was provided on synthesis of thick films using AD. This is an extremely important development as large area deposition capability with excellent film quality will allow transitioning the micro-scale prototype devices. Combining the developments in the area of piezoelectric thick films with micro-machining techniques will allow fabrication of cost-effective energy harvesters.</p></sec></body>
<back>
<ack>
<p>This work was financially supported by Army Research Office, Pratt &amp; Whitney and Air Force Office of Scientific Research. The authors from KIMS acknowledge the funding through Component-Material development programme, Ministry of Knowledge Economy, Republic of Korea.</p></ack>
<ref-list>
<title>References</title>
<ref id="b1-sensors-09-06362"><label>1.</label><citation citation-type="web"><person-group person-group-type="author"><name><surname>Murray</surname><given-names>C.J.</given-names></name></person-group><article-title>Energy Harvesting Gets Real</article-title><source>Design News</source><month>October</month><year>2008</year><comment>Available at: <ext-link xlink:href="http://www.designnews.com/article/189768-Energy_Harvesting_Gets_Real.php" ext-link-type="uri">http://www.designnews.com/article/189768-Energy_Harvesting_Gets_Real.php</ext-link> (accessed March 16, 2009).</comment></citation></ref>
<ref id="b2-sensors-09-06362"><label>2.</label><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Rabaey</surname><given-names>J.M.</given-names></name><name><surname>Ammer</surname><given-names>M.J.</given-names></name><name><surname>da Silva</surname><given-names>J.L.</given-names><suffix>Jr.</suffix></name><name><surname>Patel</surname><given-names>D.</given-names></name><name><surname>Roundy</surname><given-names>S.</given-names></name></person-group><article-title>PicoRadio Supports ad Hoc Ultra-Low Power Wireless Networking</article-title><source>Computer</source><year>2000</year><volume>33</volume><fpage>42</fpage><lpage>48</lpage><pub-id pub-id-type="doi">10.1109/2.869369</pub-id></citation></ref>
<ref id="b3-sensors-09-06362"><label>3.</label><citation citation-type="book"><person-group person-group-type="author"><name><surname>Gates</surname><given-names>B.</given-names></name></person-group><article-title>The disappearing computer</article-title><source>The World in 2003</source><publisher-name>The Economist Group</publisher-name><publisher-loc>New York, NY, USA</publisher-loc><year>2002</year></citation></ref>
<ref id="b4-sensors-09-06362"><label>4.</label><citation citation-type="web"><article-title>Hitachi Unveils Smallest RFID Chip</article-title><source>RFID J</source><year>2003</year><month>March</month><day>14</day><comment>Available at: <ext-link xlink:href="http://www.rfidjournal.com/article/view/337/1/1" ext-link-type="uri">http://www.rfidjournal.com/article/view/337/1/1</ext-link> (accessed August 11, 2009).</comment></citation></ref>
<ref id="b5-sensors-09-06362"><label>5.</label><citation citation-type="confproc"><person-group person-group-type="author"><name><surname>Douseki</surname><given-names>T.</given-names></name><name><surname>Shigematsu</surname><given-names>S.</given-names></name><name><surname>Tanabe</surname><given-names>Y.</given-names></name><name><surname>Harada</surname><given-names>M.</given-names></name><name><surname>Inokawa</surname><given-names>H.</given-names></name><name><surname>Tsuchiya</surname><given-names>T.</given-names></name></person-group><article-title>A 0.5 V SIMOX-MTCMOS Circuit with 200 ps Logic Gate</article-title><conf-name>Solid-State Circuits Conference, Digest of Technical Papers. 42nd ISSCC., 1996 IEEE International</conf-name><conf-loc>San Francisco, CA, USA</conf-loc><conf-date>February 1996</conf-date><fpage>84</fpage><lpage>85</lpage></citation></ref>
<ref id="b6-sensors-09-06362"><label>6.</label><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Jones</surname><given-names>C.E.</given-names></name><name><surname>Sivalingam</surname><given-names>K.M.</given-names></name><name><surname>Agrawal</surname><given-names>P.</given-names></name><name><surname>Chen</surname><given-names>J.C.</given-names></name></person-group><article-title>A Survey of Energy Efficient Network Protocols for Wireless Networks</article-title><source>Wirel. Netw</source><year>2001</year><volume>7</volume><fpage>343</fpage><lpage>358</lpage><pub-id pub-id-type="doi">10.1023/A:1016627727877</pub-id></citation></ref>
<ref id="b7-sensors-09-06362"><label>7.</label><citation citation-type="book"><person-group person-group-type="author"><name><surname>Roundy</surname><given-names>S.</given-names></name><name><surname>Wright</surname><given-names>P.K.</given-names></name><name><surname>Rabaey</surname><given-names>J.M.</given-names></name></person-group><source>Energy Scavenging for Wireless Sensor Networks</source><publisher-name>Kluwer Academic Publishers</publisher-name><publisher-loc>Boston, MA, USA</publisher-loc><month>October</month><year>2004</year></citation></ref>
<ref id="b8-sensors-09-06362"><label>8.</label><citation citation-type="book"><person-group person-group-type="author"><name><surname>Calaway</surname><given-names>E.H.</given-names><suffix>Jr.</suffix></name></person-group><source>Wireless Sensor Networks</source><publisher-name>IEEE Press</publisher-name><publisher-loc>New York, NY, USA</publisher-loc><year>2004</year></citation></ref>
<ref id="b9-sensors-09-06362"><label>9.</label><citation citation-type="book"><source>Energy Harvesting Technologies</source><person-group person-group-type="editor"><name><surname>Priya</surname><given-names>S.</given-names></name><name><surname>Inman</surname><given-names>D.J.</given-names></name></person-group><publisher-name>Springer Science+Business Media Inc</publisher-name><publisher-loc>Norwell, MA, USA</publisher-loc><year>2008</year></citation></ref>
<ref id="b10-sensors-09-06362"><label>10.</label><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Anton</surname><given-names>S.R.</given-names></name><name><surname>Sodano</surname><given-names>H.A.</given-names></name></person-group><article-title>A Review of Power Harvesting Using Piezoelectric Materials (2003–2006)</article-title><source>Smart Mater. Struct</source><year>2007</year><volume>16</volume><fpage>R1</fpage><lpage>R21</lpage><pub-id pub-id-type="doi">10.1088/0964-1726/16/3/R01</pub-id></citation></ref>
<ref id="b11-sensors-09-06362"><label>11.</label><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Sodano</surname><given-names>H.A.</given-names></name><name><surname>Inman</surname><given-names>D.J.</given-names></name><name><surname>Park</surname><given-names>G.</given-names></name></person-group><article-title>A Review of Power Harvesting from Vibration Using Piezoelectric Materials</article-title><source>Shock Vibration Digest</source><year>2004</year><volume>36</volume><fpage>197</fpage><lpage>205</lpage><pub-id pub-id-type="doi">10.1177/0583102404043275</pub-id></citation></ref>
<ref id="b12-sensors-09-06362"><label>12.</label><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Bedekar</surname><given-names>V.</given-names></name><name><surname>Oliver</surname><given-names>J.</given-names></name><name><surname>Priya</surname><given-names>S.</given-names></name></person-group><article-title>Pen Harvester for Powering a Pulse Rate Sensor</article-title><source>J. Phys. D–Appl. Phys</source><year>2009</year><volume>42</volume><fpage>105105:1</fpage><lpage>105105:9</lpage></citation></ref>
<ref id="b13-sensors-09-06362"><label>13.</label><citation citation-type="web"><article-title>Cost-Effective Packaging Solutions for Automotive Electronics</article-title><comment><ext-link xlink:href="http://www.astri.org/en/techprogram/mpt/mpt02_apt05.pdf" ext-link-type="uri">http://www.astri.org/en/techprogram/mpt/mpt02_apt05.pdf</ext-link> (accessed August 11, 2009).</comment></citation></ref>
<ref id="b14-sensors-09-06362"><label>14.</label><citation citation-type="confproc"><person-group person-group-type="author"><name><surname>Sham</surname><given-names>I.</given-names></name></person-group><article-title>Intro of ASTRI &amp; Energy Harvesting Solutions for Electronic Products</article-title><conf-name>Presentation at IDTechEx Energy Harvesting and Storage Conference</conf-name><conf-loc>Cambridge, UK</conf-loc><conf-date>June 3–4, 2009</conf-date></citation></ref>
<ref id="b15-sensors-09-06362"><label>15.</label><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Erturk</surname><given-names>A.</given-names></name><name><surname>Inman</surname><given-names>D.J.</given-names></name></person-group><article-title>An Experimentally Validated Bimorph Cantilever Model for Piezoelectric Energy Harvesting from Cantilevered Beams</article-title><source>Smart Mater. Struct</source><year>2008</year><volume>18</volume><fpage>025009:1</fpage><lpage>025009:18</lpage></citation></ref>
<ref id="b16-sensors-09-06362"><label>16.</label><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Dong</surname><given-names>S.</given-names></name><name><surname>Zhai</surname><given-names>J.</given-names></name><name><surname>Li</surname><given-names>J.F.</given-names></name><name><surname>Viehland</surname><given-names>D.</given-names></name><name><surname>Priya</surname><given-names>S.</given-names></name></person-group><article-title>Multimodal System for Harvesting Magnetic and Mechanical Energy</article-title><source>Appl. Phys. Lett</source><year>2008</year><volume>93</volume><fpage>103511:1</fpage><lpage>103511:18</lpage></citation></ref>
<ref id="b17-sensors-09-06362"><label>17.</label><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Scott</surname><given-names>J.F.</given-names></name><name><surname>Paz De Araujo</surname><given-names>C.A.</given-names></name></person-group><article-title>Ferroelectric Memories</article-title><source>Science</source><year>1989</year><volume>246</volume><fpage>1400</fpage><lpage>1405</lpage><pub-id pub-id-type="doi">10.1126/science.246.4936.1400</pub-id><pub-id pub-id-type="pmid">17755995</pub-id></citation></ref>
<ref id="b18-sensors-09-06362"><label>18.</label><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Paz De Araujo</surname><given-names>C.A.</given-names></name><name><surname>Cuchiaro</surname><given-names>J.D.</given-names></name><name><surname>McMillan</surname><given-names>L.D.</given-names></name><name><surname>Scott</surname><given-names>M.C.</given-names></name><name><surname>Scott</surname><given-names>J.F.</given-names></name></person-group><article-title>Fatigue-Free Ferroelectric Capacitors with Platinum Electrodes</article-title><source>Nature</source><year>1995</year><volume>374</volume><fpage>627</fpage><lpage>629</lpage><pub-id pub-id-type="doi">10.1038/374627a0</pub-id></citation></ref>
<ref id="b19-sensors-09-06362"><label>19.</label><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Yamakawa</surname><given-names>K.</given-names></name><name><surname>Imai</surname><given-names>K.</given-names></name><name><surname>Arisumi</surname><given-names>O.</given-names></name><name><surname>Arikado</surname><given-names>T.</given-names></name><name><surname>Yoshioka</surname><given-names>M.</given-names></name><name><surname>Owada</surname><given-names>T.</given-names></name><name><surname>Okumura</surname><given-names>K.</given-names></name></person-group><article-title>Novel Pb(Ti,Zr)O<sub>3</sub> (PZT) Crystallization Technique Using Flash Lamp for Ferroelectric RAM (FeRAM) Embedded LSIs and One Transistor Type FeRAM Devices</article-title><source>Jpn. J. Appl. Phys</source><year>2002</year><volume>41</volume><fpage>2630</fpage><lpage>2634</lpage><pub-id pub-id-type="doi">10.1143/JJAP.41.2630</pub-id></citation></ref>
<ref id="b20-sensors-09-06362"><label>20.</label><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Baik</surname><given-names>S.</given-names></name><name><surname>Setter</surname><given-names>N.</given-names></name><name><surname>Auciello</surname><given-names>O.</given-names></name></person-group><article-title>Preface: Science of Ferroelectric Thin Films and Application to Devices</article-title><source>J. Appl. Phys</source><year>2006</year><volume>100</volume><fpage>051501:0</fpage><lpage>051501:1</lpage></citation></ref>
<ref id="b21-sensors-09-06362"><label>21.</label><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Nam</surname><given-names>H.-J.</given-names></name><name><surname>Kim</surname><given-names>Y.-S.</given-names></name><name><surname>Cho</surname><given-names>S.-M.</given-names></name><name><surname>Lee</surname><given-names>C.S.</given-names></name><name><surname>Bu</surname><given-names>J.-U.</given-names></name><name><surname>Hong</surname><given-names>J.-W.</given-names></name><name><surname>Khim</surname><given-names>Z.-G.</given-names></name></person-group><article-title>Calibration of Non Linear Properties of Pb(Zr,Ti)O<sub>3</sub> Cantilever Using Integrated Piezoresistive Sensor for High Speed Atomic Force Microscopy</article-title><source>Jpn. J. Appl. Phys</source><year>2002</year><volume>41</volume><fpage>7153</fpage><lpage>157</lpage><pub-id pub-id-type="doi">10.1143/JJAP.41.7153</pub-id></citation></ref>
<ref id="b22-sensors-09-06362"><label>22.</label><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Polla</surname><given-names>D.L.</given-names></name><name><surname>Francis</surname><given-names>L.F.</given-names></name></person-group><article-title>Ferroelectric Thin Films in Microelectromechanical Systems Applications</article-title><source>MRS Bull</source><year>1996</year><volume>21</volume><fpage>59</fpage><lpage>65</lpage></citation></ref>
<ref id="b23-sensors-09-06362"><label>23.</label><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Spearing</surname><given-names>S.M.</given-names></name></person-group><article-title>Materials Issues in Microelectromechanical Systems (MEMS)</article-title><source>Acta Mater</source><year>2000</year><volume>48</volume><fpage>179</fpage><lpage>196</lpage><pub-id pub-id-type="doi">10.1016/S1359-6454(99)00294-3</pub-id></citation></ref>
<ref id="b24-sensors-09-06362"><label>24.</label><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Jeon</surname><given-names>Y.B.</given-names></name><name><surname>Sood</surname><given-names>R.</given-names></name><name><surname>Jeong</surname><given-names>J.-H</given-names></name><name><surname>Kim</surname><given-names>S.-G.</given-names></name></person-group><article-title>MEMS Power Generator with Transverse Mode Thin Film PZT</article-title><source>Sens. Actuat A</source><year>2005</year><volume>122</volume><fpage>16</fpage><lpage>22</lpage><pub-id pub-id-type="doi">10.1016/j.sna.2004.12.032</pub-id></citation></ref>
<ref id="b25-sensors-09-06362"><label>25.</label><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Shen</surname><given-names>D.</given-names></name><name><surname>Park</surname><given-names>J.-H.</given-names></name><name><surname>Ajitasria</surname><given-names>J.</given-names></name><name><surname>Choe</surname><given-names>S.-Y.</given-names></name><name><surname>Wikle</surname><given-names>H.C.</given-names><suffix>III</suffix></name><name><surname>Kim</surname><given-names>D.-J.</given-names></name></person-group><article-title>The Design, Fabrication and Evaluation of a MEMS PZT Cantilever with an Intergrated Si Proof Mass for Vibration Energy Harvesting</article-title><source>J. Micromech. Microeng</source><year>2008</year><volume>18</volume><fpage>055017:1</fpage><lpage>055017:7</lpage></citation></ref>
<ref id="b26-sensors-09-06362"><label>26.</label><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Evans</surname><given-names>A.G.</given-names></name><name><surname>Hutchison</surname><given-names>J.W.</given-names></name></person-group><article-title>The Thermomechanical Integrity of Thin Films and Multilayers</article-title><source>Acta Metall. Mater</source><year>1995</year><volume>43</volume><fpage>2507</fpage><lpage>2530</lpage><pub-id pub-id-type="doi">10.1016/0956-7151(94)00444-M</pub-id></citation></ref>
<ref id="b27-sensors-09-06362"><label>27.</label><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Zhou</surname><given-names>Y.C.</given-names></name><name><surname>Yang</surname><given-names>Z.Y.</given-names></name><name><surname>Zheng</surname><given-names>X.J.</given-names></name></person-group><article-title>Residual Stress in PZT Thin Films Prepared by Pulsed Laser Deposition</article-title><source>Surf. Coat. Tech</source><year>2003</year><volume>162</volume><fpage>202</fpage><lpage>211</lpage><pub-id pub-id-type="doi">10.1016/S0257-8972(02)00581-9</pub-id></citation></ref>
<ref id="b28-sensors-09-06362"><label>28.</label><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Park</surname><given-names>S.-E.</given-names></name><name><surname>Shrout</surname><given-names>T.R.</given-names></name></person-group><article-title>Ultrahigh Strain and Piezoelectric Behavior in Relaxor Based Ferroelectric Single Crystals</article-title><source>J. Appl. Phys</source><year>1997</year><volume>82</volume><fpage>1804</fpage><lpage>1811</lpage><pub-id pub-id-type="doi">10.1063/1.365983</pub-id></citation></ref>
<ref id="b29-sensors-09-06362"><label>29.</label><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Du</surname><given-names>X.</given-names></name><name><surname>Belegundu</surname><given-names>U.</given-names></name><name><surname>Uchino</surname><given-names>K.</given-names></name></person-group><article-title>Crystal Orientation Dependence of Piezoelectric Properties in Lead Zirconate Titanate: Theoretical Expectation for Thin Films</article-title><source>Jpn. J. Appl. Phys</source><year>1997</year><volume>36</volume><fpage>5580</fpage><lpage>5587</lpage><pub-id pub-id-type="doi">10.1143/JJAP.36.5580</pub-id></citation></ref>
<ref id="b30-sensors-09-06362"><label>30.</label><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Du</surname><given-names>X.</given-names></name><name><surname>Zheng</surname><given-names>J.</given-names></name><name><surname>Belegundu</surname><given-names>U.</given-names></name><name><surname>Uchino</surname><given-names>K.</given-names></name></person-group><article-title>Crystal Orientation Dependence of Piezoelectric Properties of Lead Zirconate Titanate Near the Morphotropic Phase Boundary</article-title><source>Appl. Phys. Lett</source><year>1998</year><volume>72</volume><fpage>2421</fpage><lpage>2423</lpage><pub-id pub-id-type="doi">10.1063/1.121373</pub-id></citation></ref>
<ref id="b31-sensors-09-06362"><label>31.</label><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Kalpat</surname><given-names>S.</given-names></name><name><surname>Du</surname><given-names>X.</given-names></name><name><surname>Abothu</surname><given-names>I.R.</given-names></name><name><surname>Akiba</surname><given-names>A.</given-names></name><name><surname>Goto</surname><given-names>H.</given-names></name><name><surname>Uchino</surname><given-names>K.</given-names></name></person-group><article-title>Effect of Crystal Orientation on Dielectric Properties of Lead Zirconium Titanate Thin Films Prepared by Reactive RF-Sputtering</article-title><source>Jpn. J. Appl. Phys</source><year>2001</year><volume>40</volume><fpage>713</fpage><lpage>717</lpage><pub-id pub-id-type="doi">10.1143/JJAP.40.713</pub-id></citation></ref>
<ref id="b32-sensors-09-06362"><label>32.</label><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Chen</surname><given-names>S.-Y.</given-names></name><name><surname>Chen</surname><given-names>I.-W.</given-names></name></person-group><article-title>Temperature-Time Texture Transition of Pb(Zr<sub>1-x</sub>Ti<sub>x</sub>)O<sub>3</sub> Thin Films: I, Role of Pb-rich Intermediate Phase</article-title><source>J. Am. Ceram. Soc</source><year>1994</year><volume>77</volume><fpage>2332</fpage><lpage>2336</lpage><pub-id pub-id-type="doi">10.1111/j.1151-2916.1994.tb04602.x</pub-id></citation></ref>
<ref id="b33-sensors-09-06362"><label>33.</label><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Chen</surname><given-names>S.-Y.</given-names></name><name><surname>Chen</surname><given-names>I.-W.</given-names></name></person-group><article-title>Temperature-Time Texture Transition of Pb(Zr<sub>1-x</sub>Ti<sub>x</sub>)O<sub>3</sub> Thin Films: II, Heat Treatment and Compositional Effects</article-title><source>J. Am. Ceram. Soc</source><year>1994</year><volume>77</volume><fpage>2337</fpage><lpage>2344</lpage><pub-id pub-id-type="doi">10.1111/j.1151-2916.1994.tb04603.x</pub-id></citation></ref>
<ref id="b34-sensors-09-06362"><label>34.</label><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Chen</surname><given-names>S.Y.</given-names></name><name><surname>Sun</surname><given-names>C.L.</given-names></name></person-group><article-title>Ferroelectric Characteristics of Oriented Pb(Zr<sub>1-x</sub>Ti<sub>x</sub>)O<sub>3</sub> films</article-title><source>J. Appl. Phys</source><year>2001</year><volume>90</volume><fpage>2970</fpage><lpage>2974</lpage><pub-id pub-id-type="doi">10.1063/1.1394159</pub-id></citation></ref>
<ref id="b35-sensors-09-06362"><label>35.</label><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Taylor</surname><given-names>D.V.</given-names></name><name><surname>Damjanovic</surname><given-names>D.</given-names></name></person-group><article-title>Piezoelectric Properties of Rhombohedral Pb(Zr,Ti)O<sub>3</sub> Thin Films with (100), (111), and Random Crystallographic Orientation</article-title><source>Appl. Phys. Lett</source><year>2000</year><volume>76</volume><fpage>1615</fpage><lpage>1617</lpage><pub-id pub-id-type="doi">10.1063/1.126113</pub-id></citation></ref>
<ref id="b36-sensors-09-06362"><label>36.</label><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Shimizu</surname><given-names>M.</given-names></name><name><surname>Okaniwa</surname><given-names>M.</given-names></name><name><surname>Fujisawa</surname><given-names>H.</given-names></name><name><surname>Niu</surname><given-names>H.</given-names></name></person-group><article-title>Crystalline and Ferroelectric Properties of Pb(Zr,Ti)O<sub>3</sub> Thin Films Grown by Low-Temperature Metalorganic Chemical Vapor Deposition</article-title><source>Jpn. J. Appl. Phys</source><year>2002</year><volume>41</volume><fpage>6686</fpage><lpage>6689</lpage><pub-id pub-id-type="doi">10.1143/JJAP.41.6686</pub-id></citation></ref>
<ref id="b37-sensors-09-06362"><label>37.</label><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Brooks</surname><given-names>K.G.</given-names></name><name><surname>Reaney</surname><given-names>I.M.</given-names></name><name><surname>Klissurska</surname><given-names>R.</given-names></name><name><surname>Huang</surname><given-names>Y.</given-names></name><name><surname>Bursill</surname><given-names>L.</given-names></name><name><surname>Setter</surname><given-names>N.</given-names></name></person-group><article-title>Orientation of Rapid Thermally Annealed Lead Zirconate Titanate Thin Films on (111) Pt Substrates</article-title><source>J. Mater. Res</source><year>1994</year><volume>9</volume><fpage>2540</fpage><lpage>2553</lpage><pub-id pub-id-type="doi">10.1557/JMR.1994.2540</pub-id></citation></ref>
<ref id="b38-sensors-09-06362"><label>38.</label><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Krupanidhi</surname><given-names>S.B.</given-names></name><name><surname>Maffei</surname><given-names>N.</given-names></name><name><surname>Sayer</surname><given-names>M.</given-names></name><name><surname>El-Assal</surname><given-names>K.</given-names></name></person-group><article-title>Rf Planar Magnetron Sputtering and Characterization of Ferroelectric Pb(Zr,Ti)O<sub>3</sub> Films</article-title><source>J. Appl. Phys</source><year>1983</year><volume>54</volume><fpage>6601</fpage><lpage>6609</lpage><pub-id pub-id-type="doi">10.1063/1.331895</pub-id></citation></ref>
<ref id="b39-sensors-09-06362"><label>39.</label><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Hau</surname><given-names>S.K.</given-names></name><name><surname>Wong</surname><given-names>K.H.</given-names></name><name><surname>Chan</surname><given-names>P.W.</given-names></name><name><surname>Choi</surname><given-names>C.L.</given-names></name></person-group><article-title>Intrinsic Resputtering in Pulsed-Laser Deposition of Lead-Zirconate-Titanate Thin Films</article-title><source>Appl. Phys. Lett</source><year>1995</year><volume>66</volume><fpage>245</fpage><lpage>247</lpage><pub-id pub-id-type="doi">10.1063/1.113560</pub-id></citation></ref>
<ref id="b40-sensors-09-06362"><label>40.</label><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Wang</surname><given-names>Z.J.</given-names></name><name><surname>Kikuchi</surname><given-names>K.</given-names></name><name><surname>Maeda</surname><given-names>R.</given-names></name></person-group><article-title>Effect of Pb contents in Target on Electrical Properties of Laser Ablation Derived Lead Zirconate Titanate Thin Films</article-title><source>Jpn. J. Appl. Phys</source><year>2000</year><volume>39</volume><fpage>5413</fpage><lpage>5417</lpage><pub-id pub-id-type="doi">10.1143/JJAP.39.5413</pub-id></citation></ref>
<ref id="b41-sensors-09-06362"><label>41.</label><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Park</surname><given-names>G.-T.</given-names></name><name><surname>Park</surname><given-names>C.-S.</given-names></name><name><surname>Choi</surname><given-names>J.-J.</given-names></name><name><surname>Lee</surname><given-names>J.-W.</given-names></name><name><surname>Kim</surname><given-names>H.-E.</given-names></name></person-group><article-title>Effects of Thickness on Piezoelectric Properties of Highly Oriented Lead Zirconate Titanate Films</article-title><source>J. Am. Ceram. Soc</source><year>2006</year><volume>89</volume><fpage>2314</fpage><lpage>2316</lpage></citation></ref>
<ref id="b42-sensors-09-06362"><label>42.</label><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Park</surname><given-names>C.-S.</given-names></name><name><surname>Lee</surname><given-names>J.-W.</given-names></name><name><surname>Park</surname><given-names>G.-T.</given-names></name><name><surname>Kim</surname><given-names>H.-E.</given-names></name><name><surname>Choi</surname><given-names>J.-J.</given-names></name></person-group><article-title>Microstructural Evolution and Piezoelectric Properties of Thick PZT Films Deposited by Multi-Sputtering: Part I. Microstructural Evolution</article-title><source>J. Mater. Res</source><year>2007</year><volume>22</volume><fpage>1367</fpage><lpage>1372</lpage><pub-id pub-id-type="doi">10.1557/jmr.2007.0176</pub-id></citation></ref>
<ref id="b43-sensors-09-06362"><label>43.</label><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Park</surname><given-names>C.-S.</given-names></name><name><surname>Lee</surname><given-names>J.-W.</given-names></name><name><surname>Park</surname><given-names>G.-T.</given-names></name><name><surname>Kim</surname><given-names>H.-E.</given-names></name><name><surname>Choi</surname><given-names>J.-J.</given-names></name></person-group><article-title>Microstructural Evolution and Piezoelectric Properties of Thick PZT Films Deposited by Multi-Sputtering: Part II. Piezoelectric properties</article-title><source>J. Mater. Res</source><year>2007</year><volume>22</volume><fpage>1373</fpage><lpage>1377</lpage><pub-id pub-id-type="doi">10.1557/jmr.2007.0177</pub-id></citation></ref>
<ref id="b44-sensors-09-06362"><label>44.</label><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Chen</surname><given-names>L.</given-names></name><name><surname>Li</surname><given-names>J.-H.</given-names></name><name><surname>Slutsker</surname><given-names>J.</given-names></name><name><surname>Ouyang</surname><given-names>J.</given-names></name><name><surname>Roytburd</surname><given-names>A.L.</given-names></name></person-group><article-title>Contribution of Substrate to Converse Piezoelectric Response of Constrained Thin Films</article-title><source>J. Mater. Res</source><year>2004</year><volume>19</volume><fpage>2853</fpage><lpage>2858</lpage><pub-id pub-id-type="doi">10.1557/JMR.2004.0367</pub-id></citation></ref>
<ref id="b45-sensors-09-06362"><label>45.</label><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Torah</surname><given-names>R.N.</given-names></name><name><surname>Beeby</surname><given-names>S.P.</given-names></name><name><surname>White</surname><given-names>N.M.</given-names></name></person-group><article-title>Experimental Investigation into the Effect of Substrate Clamping on the Piezoelectric Behavior of Thick-Film PZT Elements</article-title><source>J. Phys. D: Appl. Phys</source><year>2004</year><volume>37</volume><fpage>1074</fpage><lpage>1078</lpage><pub-id pub-id-type="doi">10.1088/0022-3727/37/7/019</pub-id></citation></ref>
<ref id="b46-sensors-09-06362"><label>46.</label><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Gwirc</surname><given-names>S.N.</given-names></name><name><surname>Negreira</surname><given-names>C.A.</given-names></name></person-group><article-title>Evaluation of the Effect of Porosity and Substrate on the Piezoelectric Behaviour of Thick-Film PZT Element</article-title><source>J. Phys. D: Appl. Phys</source><year>2006</year><volume>39</volume><fpage>4215</fpage><lpage>4221</lpage><pub-id pub-id-type="doi">10.1088/0022-3727/39/19/014</pub-id></citation></ref>
<ref id="b47-sensors-09-06362"><label>47.</label><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Sengupta</surname><given-names>S.S.</given-names></name><name><surname>Park</surname><given-names>S.M</given-names></name><name><surname>Payne</surname><given-names>D.A.</given-names></name><name><surname>Allen</surname><given-names>L.H.</given-names></name></person-group><article-title>Origins and Evolution of Stress Development in Sol-Gel Derived Thin Layers and Multideposited Coatings of Lead Titanate</article-title><source>J. Appl. Phys</source><year>1998</year><volume>83</volume><fpage>2291</fpage><lpage>2295</lpage><pub-id pub-id-type="doi">10.1063/1.366971</pub-id></citation></ref>
<ref id="b48-sensors-09-06362"><label>48.</label><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Ryu</surname><given-names>J.</given-names></name><name><surname>Priya</surname><given-names>S.</given-names></name><name><surname>Park</surname><given-names>C.-S.</given-names></name><name><surname>Kim</surname><given-names>K.-Y.</given-names></name><name><surname>Choi</surname><given-names>J.-J.</given-names></name><name><surname>Hahn</surname><given-names>B.-D.</given-names></name><name><surname>Yoon</surname><given-names>W.-H.</given-names></name><name><surname>Lee</surname><given-names>B.-K.</given-names></name><name><surname>Park</surname><given-names>D.-S.</given-names></name><name><surname>Park</surname><given-names>C.</given-names></name></person-group><article-title>Enhanced Domain Contribution to Ferroelectric Properties in Freestanding Thick Films</article-title><source>J. Appl. Phys</source><year>2009</year><volume>106</volume><fpage>024108:1</fpage><lpage>024108:6</lpage></citation></ref>
<ref id="b49-sensors-09-06362"><label>49.</label><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Lebedev</surname><given-names>M.</given-names></name><name><surname>Akedo</surname><given-names>J.</given-names></name></person-group><article-title>Effect of Thickness on the Piezoelectric Properties of Lead Zirconate Titanate Films Fabricted by Aerosol Deposition Method</article-title><source>Jpn. J. Appl. Phys</source><year>2002</year><volume>41</volume><fpage>6669</fpage><lpage>6673</lpage><pub-id pub-id-type="doi">10.1143/JJAP.41.6669</pub-id></citation></ref>
<ref id="b50-sensors-09-06362"><label>50.</label><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Akedo</surname><given-names>J.</given-names></name></person-group><article-title>Aerosol Deposition of Ceramic Thick Films at Room Temperature: Densification Mechanism of Ceramic Layers</article-title><source>J. Am. Ceram. Soc</source><year>2006</year><volume>89</volume><fpage>1834</fpage><lpage>1839</lpage><pub-id pub-id-type="doi">10.1111/j.1551-2916.2006.01030.x</pub-id></citation></ref>
<ref id="b51-sensors-09-06362"><label>51.</label><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Choi</surname><given-names>J.-J.</given-names></name><name><surname>Jang</surname><given-names>J.-H.</given-names></name><name><surname>Han</surname><given-names>B.-D.</given-names></name><name><surname>Park</surname><given-names>D.-S.</given-names></name><name><surname>Yoon</surname><given-names>W.-H.</given-names></name><name><surname>Ryu</surname><given-names>J.</given-names></name><name><surname>Park</surname><given-names>C.</given-names></name></person-group><article-title>Preparation of Highly dense PZN-PZT Thick Films by the Aerosol Deposition Method Using Excess-PbO Powder</article-title><source>J. Am. Ceram. Soc</source><year>2007</year><volume>90</volume><fpage>3389</fpage><lpage>3394</lpage><pub-id pub-id-type="doi">10.1111/j.1551-2916.2007.01901.x</pub-id></citation></ref>
<ref id="b52-sensors-09-06362"><label>52.</label><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Ryu</surname><given-names>J.</given-names></name><name><surname>Choi</surname><given-names>J.-J.</given-names></name><name><surname>Han</surname><given-names>B.-D.</given-names></name><name><surname>Park</surname><given-names>D.-S.</given-names></name><name><surname>Yoon</surname><given-names>W.-H.</given-names></name><name><surname>Kim</surname><given-names>K.-Y.</given-names></name></person-group><article-title>Sintering and Piezoelectric Properties of KNN Ceramics Doped with KZT</article-title><source>IEEE Trans. Ultrason. Ferroelectr. Equation Control</source><year>2007</year><volume>54</volume><fpage>2510</fpage><lpage>2595</lpage><pub-id pub-id-type="doi">10.1109/TUFFC.2007.569</pub-id></citation></ref>
<ref id="b53-sensors-09-06362"><label>53.</label><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Ryu</surname><given-names>J.</given-names></name><name><surname>Choi</surname><given-names>J.-J.</given-names></name><name><surname>Han</surname><given-names>B.-D.</given-names></name><name><surname>Park</surname><given-names>D.-S.</given-names></name><name><surname>Yoon</surname><given-names>W.-H.</given-names></name><name><surname>Kim</surname><given-names>K.-H.</given-names></name></person-group><article-title>Fabrication and Ferroelectric Properties of High Dense Lead-Free Piezoelectric (K<sub>0.5</sub>Na<sub>0.5</sub>)NbO<sub>3</sub> thick Films by Aerosol Deposition</article-title><source>Appl. Phys. Lett</source><year>2007</year><volume>90</volume><fpage>152901</fpage><pub-id pub-id-type="doi">10.1063/1.2720751</pub-id></citation></ref>
<ref id="b54-sensors-09-06362"><label>54.</label><citation citation-type="thesis"><person-group person-group-type="author"><name><surname>Han</surname><given-names>B.-D.</given-names></name></person-group><article-title>Piezoelectric Thick Films</article-title><comment>Ph.D Thesis,</comment><publisher-name>Seoul National University</publisher-name><publisher-loc>Seoul, Korea</publisher-loc><year>2008</year></citation></ref>
<ref id="b55-sensors-09-06362"><label>55.</label><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Zhang</surname><given-names>Q.</given-names></name><name><surname>Whatmore</surname><given-names>R.R.</given-names></name></person-group><article-title>Hysteretic Properties of Mn-Doped Pb(Zr,Ti)O<sub>3</sub> Thin Films</article-title><source>J. Euro. Ceram. Soc</source><year>2004</year><volume>24</volume><fpage>277</fpage><lpage>282</lpage><pub-id pub-id-type="doi">10.1016/S0955-2219(03)00234-6</pub-id></citation></ref>
<ref id="b56-sensors-09-06362"><label>56.</label><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Ryu</surname><given-names>J.</given-names></name><name><surname>Park</surname><given-names>C.-S.</given-names></name><name><surname>Kim</surname><given-names>K.-Y.</given-names></name><name><surname>Choi</surname><given-names>J.-J.</given-names></name><name><surname>Park</surname><given-names>C.</given-names></name><name><surname>Hahn</surname><given-names>B.-D.</given-names></name><name><surname>Yoon</surname><given-names>W.-H.</given-names></name><name><surname>Lee</surname><given-names>B.-K.</given-names></name><name><surname>Park</surname><given-names>D.-S.</given-names></name><name><surname>Priya</surname><given-names>S.</given-names></name></person-group><article-title>Hard Piezoelectric Pb(Zr<sub>0.52</sub>Ti<sub>0.48</sub>)O<sub>3</sub>-Pb(Zn<sub>1/3</sub>Nb<sub>2/3</sub>)O<sub>3</sub>-MnO<sub>2</sub> Thick Film by Aerosol-Deposition</article-title><source>Phil. Mag. Phil. Lett</source><year>2009</year><comment>in press.</comment></citation></ref>
<ref id="b57-sensors-09-06362"><label>57.</label><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Williams</surname><given-names>C.B.</given-names></name><name><surname>Yates</surname><given-names>R.B.</given-names></name></person-group><article-title>Analysis of a Micro-Electric Generator for Microsystems</article-title><source>Sens. Actuat. A</source><year>1996</year><volume>52</volume><fpage>8</fpage><lpage>11</lpage><pub-id pub-id-type="doi">10.1016/0924-4247(96)80118-X</pub-id></citation></ref>
<ref id="b58-sensors-09-06362"><label>58.</label><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Roundy</surname><given-names>S.</given-names></name><name><surname>Wright</surname><given-names>P.K.</given-names></name><name><surname>Rabaey</surname><given-names>J.</given-names></name></person-group><article-title>A Study of Low Level Vibrations as a Power Source for Wireless Sensor Nodes</article-title><source>Comput. Commun</source><year>2003</year><volume>26</volume><fpage>1131</fpage><lpage>1144</lpage><pub-id pub-id-type="doi">10.1016/S0140-3664(02)00248-7</pub-id></citation></ref>
<ref id="b59-sensors-09-06362"><label>59.</label><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Priya</surname><given-names>S.</given-names></name></person-group><article-title>Advances in Energy Harvesting Using Low Profile Piezoelectric Transducers</article-title><source>J. Electroceram</source><year>2007</year><volume>19</volume><fpage>165</fpage><lpage>182</lpage></citation></ref>
<ref id="b60-sensors-09-06362"><label>60.</label><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Fang</surname><given-names>H.-B.</given-names></name><name><surname>Liu</surname><given-names>J.-Q.</given-names></name><name><surname>Xu</surname><given-names>Z.-Y.</given-names></name><name><surname>Dong</surname><given-names>L.</given-names></name><name><surname>Wang</surname><given-names>L.</given-names></name><name><surname>Chen</surname><given-names>D.</given-names></name><name><surname>Cai</surname><given-names>B.-C.</given-names></name><name><surname>Liu</surname><given-names>Y.</given-names></name></person-group><article-title>Fabrication and Performance of MEMS-Based Piezoelectric Power Generator for Vibration Energy Harvesting</article-title><source>Microelectron. J</source><year>2006</year><volume>37</volume><fpage>1280</fpage><lpage>1284</lpage><pub-id pub-id-type="doi">10.1016/j.mejo.2006.07.023</pub-id></citation></ref>
<ref id="b61-sensors-09-06362"><label>61.</label><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Liu</surname><given-names>J.-Q.</given-names></name><name><surname>Fang</surname><given-names>H.-B.</given-names></name><name><surname>Xu</surname><given-names>Z.-Y.</given-names></name><name><surname>Mao</surname><given-names>X.-H.</given-names></name><name><surname>Shen</surname><given-names>X.-C.</given-names></name><name><surname>Chen</surname><given-names>D.</given-names></name><name><surname>Liao</surname><given-names>H.</given-names></name><name><surname>Cai</surname><given-names>B.-C.</given-names></name></person-group><article-title>A MEMS-Based Piezoelectric Power Generator Array for Vibration Energy Harvesting</article-title><source>Microelectron. J</source><year>2008</year><volume>39</volume><fpage>802</fpage><lpage>806</lpage><pub-id pub-id-type="doi">10.1016/j.mejo.2007.12.017</pub-id></citation></ref>
<ref id="b62-sensors-09-06362"><label>62.</label><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Renaud</surname><given-names>M.</given-names></name><name><surname>Karakya</surname><given-names>K.</given-names></name><name><surname>Sterken</surname><given-names>T.</given-names></name><name><surname>Fiorini</surname><given-names>P.</given-names></name><name><surname>Hoof</surname><given-names>C.V.</given-names></name><name><surname>Puers</surname><given-names>R.</given-names></name></person-group><article-title>Fabrication, Modelling and Characterization of MEMS Piezoelectric Vibration Harvesters</article-title><source>Sens. Actuat. A</source><year>2008</year><volume>145–146</volume><fpage>380</fpage><lpage>386</lpage></citation></ref>
<ref id="b63-sensors-09-06362"><label>63.</label><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Marzencki</surname><given-names>M.</given-names></name><name><surname>Ammar</surname><given-names>Y.</given-names></name><name><surname>Basrour</surname><given-names>S.</given-names></name></person-group><article-title>Integrated Powder Harvesting System Including a MEMS Generator and a Power Management Circuit</article-title><source>Sens. Actuat. A</source><year>2008</year><volume>145–146</volume><fpage>363</fpage><lpage>370</lpage></citation></ref>
<ref id="b64-sensors-09-06362"><label>64.</label><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Xu</surname><given-names>B.</given-names></name><name><surname>Ye</surname><given-names>Y.</given-names></name><name><surname>Cross</surname><given-names>L.E.</given-names></name><name><surname>Bernstein</surname><given-names>J.J.</given-names></name><name><surname>Miller</surname><given-names>R.</given-names></name></person-group><article-title>Dielectric Hysteresis from Transverse Electric Fields in Lead Zirconate Titanate Thin Films</article-title><source>Appl. Phys. Lett</source><year>1999</year><volume>74</volume><fpage>3549</fpage><lpage>3551</lpage><pub-id pub-id-type="doi">10.1063/1.124157</pub-id></citation></ref>
<ref id="b65-sensors-09-06362"><label>65.</label><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Choi</surname><given-names>W.J.</given-names></name><name><surname>Jeon</surname><given-names>Y.</given-names></name><name><surname>Jeong</surname><given-names>J.-H.</given-names></name><name><surname>Sood</surname><given-names>R.</given-names></name><name><surname>Kim</surname><given-names>S.G.</given-names></name></person-group><article-title>Energy Harvesting MEMS Device Based on Thin Film Piezoelectric Cantilevers</article-title><source>J. Electroceram</source><year>2006</year><volume>17</volume><fpage>543</fpage><lpage>548</lpage><pub-id pub-id-type="doi">10.1007/s10832-006-6287-3</pub-id></citation></ref>
<ref id="b66-sensors-09-06362"><label>66.</label><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Curie</surname><given-names>P.</given-names></name></person-group><article-title>Sur la Symétrie dans les Phénomènes Physiques</article-title><source>J. Phys</source><year>1894</year><comment><italic>3<sup>ed</sup> Ser.,</italic></comment><fpage>393</fpage><lpage>415</lpage></citation></ref>
<ref id="b67-sensors-09-06362"><label>67.</label><citation citation-type="journal"><person-group person-group-type="author"><name><surname>O’Dell</surname><given-names>T.H.</given-names></name></person-group><article-title>Magnetoelectrics- A New Class of Materials</article-title><source>Electron. Power</source><year>1965</year><volume>11</volume><fpage>266</fpage><lpage>267</lpage><pub-id pub-id-type="doi">10.1049/ep.1965.0199</pub-id></citation></ref>
<ref id="b68-sensors-09-06362"><label>68.</label><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Ryu</surname><given-names>J.</given-names></name><name><surname>Carazo</surname><given-names>A.V.</given-names></name><name><surname>Uchino</surname><given-names>K.</given-names></name><name><surname>Kim</surname><given-names>H.-E.</given-names></name></person-group><article-title>Magnetoelectric Properties in Piezoelectric and Magnetostrictive Laminar Composites</article-title><source>Jpn. J. Appl. Phys</source><year>2001</year><volume>40</volume><fpage>4948</fpage><lpage>4951</lpage><pub-id pub-id-type="doi">10.1143/JJAP.40.4948</pub-id></citation></ref>
<ref id="b69-sensors-09-06362"><label>69.</label><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Ryu</surname><given-names>J.</given-names></name><name><surname>Priya</surname><given-names>S.</given-names></name><name><surname>Uchino</surname><given-names>K.</given-names></name><name><surname>Kim</surname><given-names>H.-E.</given-names></name></person-group><article-title>Magnetoelectric Effect in Composites of Magnetostrictive and Piezoelectric Materials</article-title><source>J. Electroceram</source><year>2002</year><volume>8</volume><fpage>107</fpage><lpage>120</lpage><pub-id pub-id-type="doi">10.1023/A:1020599728432</pub-id></citation></ref>
<ref id="b70-sensors-09-06362"><label>70.</label><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Suchetelene</surname><given-names>J.V.</given-names></name></person-group><article-title>Product Properties: A New Application of Composite Materials</article-title><source>Philips Res. Report</source><year>1972</year><volume>27</volume><fpage>28</fpage><lpage>37</lpage></citation></ref>
<ref id="b71-sensors-09-06362"><label>71.</label><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Newnham</surname><given-names>R.E.</given-names></name><name><surname>Skinner</surname><given-names>D.P.</given-names></name><name><surname>Cross</surname><given-names>L.E.</given-names></name></person-group><article-title>Connectivity and Piezoelectric-Pyroelectric Composites</article-title><source>Mat. Res. Bull</source><year>1978</year><volume>13</volume><fpage>525</fpage><lpage>536</lpage><pub-id pub-id-type="doi">10.1016/0025-5408(78)90161-7</pub-id></citation></ref>
<ref id="b72-sensors-09-06362"><label>72.</label><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Kim</surname><given-names>H.</given-names></name><name><surname>Lee</surname><given-names>W.-H.</given-names></name><name><surname>Dias</surname><given-names>R.</given-names></name><name><surname>Priya</surname><given-names>S.</given-names></name></person-group><article-title>Piezoelectric Microgenerator-Current Status, and Challenges</article-title><source>IEEE Trans. Ultrason. Ferroelectr. FrEquation Control</source><year>2009</year><comment>in print.</comment></citation></ref>
<ref id="b73-sensors-09-06362"><label>73.</label><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Zheng</surname><given-names>H.</given-names></name><name><surname>Wang</surname><given-names>J.</given-names></name><name><surname>Lofland</surname><given-names>S.E.</given-names></name><name><surname>Ma</surname><given-names>Z.</given-names></name><name><surname>Mohaddes-Ardabili</surname><given-names>L.</given-names></name><name><surname>Zhao</surname><given-names>T.</given-names></name><name><surname>Salamanca-Riba</surname><given-names>L.</given-names></name><name><surname>Shinde</surname><given-names>S.R.</given-names></name><name><surname>Ogale</surname><given-names>S.B.</given-names></name><name><surname>Bai</surname><given-names>F.</given-names></name><name><surname>Viehland</surname><given-names>D.</given-names></name><name><surname>Jia</surname><given-names>Y.</given-names></name><name><surname>Schlom</surname><given-names>D.G.</given-names></name><name><surname>Wuttig</surname><given-names>M.</given-names></name><name><surname>Roytburd</surname><given-names>A.</given-names></name><name><surname>Ramesh</surname><given-names>R.</given-names></name></person-group><article-title>Multiferroic BaTiO<sub>3</sub>-CoFe<sub>2</sub>O<sub>4</sub> Nanostructures</article-title><source>Science</source><year>2004</year><volume>303</volume><fpage>661</fpage><lpage>663</lpage><pub-id pub-id-type="doi">10.1126/science.1094207</pub-id><pub-id pub-id-type="pmid">14752158</pub-id></citation></ref>
<ref id="b74-sensors-09-06362"><label>74.</label><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Zheng</surname><given-names>H.</given-names></name><name><surname>Wang</surname><given-names>J.</given-names></name><name><surname>Mohaddes-Ardabili</surname><given-names>L.</given-names></name><name><surname>Wuttig</surname><given-names>M.</given-names></name><name><surname>Salamanca-Riba</surname><given-names>L.</given-names></name><name><surname>Schlom</surname><given-names>D.G.</given-names></name><name><surname>Ramesh</surname><given-names>R.</given-names></name></person-group><article-title>Three-Dimensional Hetetoepitaxy in Self-Assmbled BaTiO<sub>3</sub>-CoFe<sub>2</sub>O<sub>4</sub> Nanostructures</article-title><source>Appl. Phys. Lett</source><year>2004</year><volume>85</volume><fpage>2035</fpage><lpage>2037</lpage><pub-id pub-id-type="doi">10.1063/1.1786653</pub-id></citation></ref>
<ref id="b75-sensors-09-06362"><label>75.</label><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Zavaliche</surname><given-names>F.</given-names></name><name><surname>Zheng</surname><given-names>H.</given-names></name><name><surname>Mohaddes-Ardabili</surname><given-names>L.</given-names></name><name><surname>Yang</surname><given-names>S.Y.</given-names></name><name><surname>Zhan</surname><given-names>Q.</given-names></name><name><surname>Shafer</surname><given-names>P.</given-names></name><name><surname>Reilly</surname><given-names>E.</given-names></name><name><surname>Chopdekar</surname><given-names>R.</given-names></name><name><surname>Jia</surname><given-names>Y.</given-names></name><name><surname>Wright</surname><given-names>P.</given-names></name><name><surname>Schlom</surname><given-names>D.G.</given-names></name><name><surname>Suzuki</surname><given-names>Y.</given-names></name><name><surname>Ramesh</surname><given-names>R.</given-names></name></person-group><article-title>Electric Field-Induced Magnetization Switching in Epitaxial Columnar Nanostructures</article-title><source>Nano Lett</source><year>2005</year><volume>5</volume><fpage>1793</fpage><lpage>1796</lpage><pub-id pub-id-type="doi">10.1021/nl051406i</pub-id><pub-id pub-id-type="pmid">16159226</pub-id></citation></ref>
<ref id="b76-sensors-09-06362"><label>76.</label><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Wan</surname><given-names>J.G.</given-names></name><name><surname>Zhang</surname><given-names>H.</given-names></name><name><surname>Wang</surname><given-names>X.</given-names></name><name><surname>Pan</surname><given-names>D.</given-names></name><name><surname>Liu</surname><given-names>J.-M.</given-names></name><name><surname>Wang</surname><given-names>G.</given-names></name></person-group><article-title>Magnetoelectric CoFe<sub>2</sub>O<sub>4</sub>-Lead Zirconate Titanate Thick Films Prepared by a Polyvinylpyrrolidone-Assisted Sol-Gel Method</article-title><source>Appl. Phys. Lett</source><year>2006</year><volume>89</volume><fpage>122914:1</fpage><lpage>122914:3</lpage></citation></ref>
<ref id="b77-sensors-09-06362"><label>77.</label><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Ryu</surname><given-names>H.</given-names></name><name><surname>Murugavel</surname><given-names>P.</given-names></name><name><surname>Lee</surname><given-names>J.H.</given-names></name><name><surname>Chae</surname><given-names>S.C.</given-names></name><name><surname>Noh</surname><given-names>T.W.</given-names></name><name><surname>Oh</surname><given-names>Y.S.</given-names></name><name><surname>Kim</surname><given-names>H. J.</given-names></name><name><surname>Kim</surname><given-names>K. H.</given-names></name><name><surname>Bae</surname><given-names>C.</given-names></name><name><surname>Park</surname><given-names>J.-G.</given-names></name></person-group><article-title>Magnetoelectric Effects of Nanopartiulate Pb(Zr<sub>0.52</sub>Ti<sub>0.48</sub>)O<sub>3</sub>-NiFe<sub>2</sub>O<sub>4</sub> Composite Films</article-title><source>Appl. Phys. Lett</source><year>2006</year><volume>89</volume><fpage>102907:1</fpage><lpage>102907:3</lpage></citation></ref>
<ref id="b78-sensors-09-06362"><label>78.</label><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Zhou</surname><given-names>J.-P.</given-names></name><name><surname>He</surname><given-names>H.</given-names></name><name><surname>Shi</surname><given-names>Z.</given-names></name><name><surname>Nan</surname><given-names>C.-W.</given-names></name></person-group><article-title>Magnetoelectric CoFe<sub>2</sub>O<sub>4</sub>/Pb(Zr<sub>0.52</sub>Ti<sub>0.48</sub>)O<sub>3</sub> Double-Layer Thin Film Prepared by Pulsed-Laser Deposition</article-title><source>Appl. Phys. Lett</source><year>2006</year><volume>88</volume><fpage>013111:1</fpage><lpage>013111:3</lpage></citation></ref>
<ref id="b79-sensors-09-06362"><label>79.</label><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Ma</surname><given-names>Y.G.</given-names></name><name><surname>Cheng</surname><given-names>W.N.</given-names></name><name><surname>Ning</surname><given-names>M.</given-names></name><name><surname>Ong</surname><given-names>C.K.</given-names></name></person-group><article-title>Magnetoelectric Effect in Epitaxial Pb(Zr<sub>0.52</sub>Ti<sub>0.48</sub>)O<sub>3</sub>/La<sub>0.7</sub>Sr<sub>0.3</sub>MnO<sub>3</sub> Composite Thin Film</article-title><source>Appl. Phys. Lett</source><year>2007</year><volume>90</volume><fpage>152911:1</fpage><lpage>152911:3</lpage></citation></ref>
<ref id="b80-sensors-09-06362"><label>80.</label><citation citation-type="journal"><person-group person-group-type="author"><name><surname>Park</surname><given-names>C.-S.</given-names></name><name><surname>Ryu</surname><given-names>J.</given-names></name><name><surname>Choi</surname><given-names>J.-J.</given-names></name><name><surname>Park</surname><given-names>D.-S.</given-names></name><name><surname>Ahn</surname><given-names>C.-W.</given-names></name><name><surname>Priya</surname><given-names>S</given-names></name></person-group><article-title>Giant Magnetoelectric Coefficient in 3-2 Nanocomposite Thick Films</article-title><source>Jpn. J. Appl. Phys</source><year>2009</year><volume>48</volume><fpage>080204:1</fpage><lpage>080204:3</lpage></citation></ref></ref-list>
<sec sec-type="display-objects">
<title>Figures and Tables</title>
<fig id="f1-sensors-09-06362" position="float">
<label>Figure 1.</label>
<caption>
<p>Demonstrated vibration energy harvesting systems. (a)–(c) enocean<sup>®</sup> “Pushbutton Transmitter Module” (PTM 200), ECO 100 harvester, and wall mounted switch (Website: <ext-link xlink:href="http://www.enocean.com/" ext-link-type="uri">http://www.enocean.com/</ext-link>); (d)–(f) Virginia Tech’s “pen” and integrated pen harvester prototype generating continuous power of 0.46–0.66 mW under normal human actions; (g)–(i) vibration energy harvesting heat stress nodes developed by MicroStrain Inc. (Website: <ext-link xlink:href="http://www.microstrain.com" ext-link-type="uri">http://www.microstrain.com</ext-link>) for Navy applications (taken from: Energy Harvesting Technologies, Ed. S. Priya and D. Inman and <ext-link xlink:href="http://www.maritimequest.com/" ext-link-type="uri">http://www.maritimequest.com/</ext-link>); and (j)–(l) tire pressure monitoring system (TPMS) developed by ASTRI for automobiles (Website: <ext-link xlink:href="http://www.astri.org" ext-link-type="uri">http://www.astri.org</ext-link>).</p></caption>
<graphic xlink:href="sensors-09-06362f1a.gif"/>
<graphic xlink:href="sensors-09-06362f1b.gif"/></fig>
<fig id="f2-sensors-09-06362" position="float">
<label>Figure 2.</label>
<caption>
<p>Diagram of a spring-mass-damper base excitation system.</p></caption>
<graphic xlink:href="sensors-09-06362f2.gif"/></fig>
<fig id="f3-sensors-09-06362" position="float">
<label>Figure 3.</label>
<caption>
<p>Block diagram for response around r<sup>th</sup> mode of the parallel (a = 1) and series (a = 2) connected piezoelectric bimorph.</p></caption>
<graphic xlink:href="sensors-09-06362f3.gif"/></fig>
<fig id="f4-sensors-09-06362" position="float">
<label>Figure 4.</label>
<caption>
<p>Equivalent circuit model for magnetoelectric energy harvesting.</p></caption>
<graphic xlink:href="sensors-09-06362f4.gif"/></fig>
<fig id="f5-sensors-09-06362" position="float">
<label>Figure 5.</label>
<caption>
<p>Application areas of piezoelectric materials with varying thickness.</p></caption>
<graphic xlink:href="sensors-09-06362f5.gif"/></fig>
<fig id="f6-sensors-09-06362" position="float">
<label>Figure 6.</label>
<caption>
<p>Cross-sectional image of 8 μm-thick (100) oriented PZT film using sol-gel [<xref ref-type="bibr" rid="b41-sensors-09-06362">41</xref>].</p></caption>
<graphic xlink:href="sensors-09-06362f6.gif"/></fig>
<fig id="f7-sensors-09-06362" position="float">
<label>Figure 7.</label>
<caption>
<p>Sputtering method with seed layer to control the grain growth. (a) schematic diagrams of normal sputtering on a seed layer, (b) cross-sectional view of 3.5 μm-thick film using normal sputtering on a seed layer [<xref ref-type="bibr" rid="b42-sensors-09-06362">42</xref>], (c) schematic of multi-sputtering on a seed layer, and (d) cross-sectional view of 5 μm-thick film using multi-sputtering on a seed layer [<xref ref-type="bibr" rid="b43-sensors-09-06362">43</xref>].</p></caption>
<graphic xlink:href="sensors-09-06362f7.gif"/></fig>
<fig id="f8-sensors-09-06362" position="float">
<label>Figure 8.</label>
<caption>
<p>Schematic diagram illustrating two different types of clamping in fully-clamped, island, and freestanding films [<xref ref-type="bibr" rid="b48-sensors-09-06362">48</xref>].</p></caption>
<graphic xlink:href="sensors-09-06362f8.gif"/></fig>
<fig id="f9-sensors-09-06362" position="float">
<label>Figure 9.</label>
<caption>
<p>Schematic diagram of an aerosol deposition (AD) system.</p></caption>
<graphic xlink:href="sensors-09-06362f9.gif"/></fig>
<fig id="f10-sensors-09-06362" position="float">
<label>Figure 10.</label>
<caption>
<p>Cross-sectional view of piezoelectric film with various thickness by AD; (a) 3 μm, (b) 10 μm, (c) 20 μm, and (d) 100 μm [<xref ref-type="bibr" rid="b54-sensors-09-06362">54</xref>].</p></caption>
<graphic xlink:href="sensors-09-06362f10.gif"/></fig>
<fig id="f11-sensors-09-06362" position="float">
<label>Figure 11.</label>
<caption>
<p>Large area piezoelectric 10 μm-thick films by AD. (a) 150 × 150 mm<sup>2</sup> on stainless steel and (b) on 100 × 100 mm<sup>2</sup> glass.</p></caption>
<graphic xlink:href="sensors-09-06362f11.gif"/></fig>
<fig id="f12-sensors-09-06362" position="float">
<label>Figure 12.</label>
<caption>
<p>Plane Views of cantilevers: (a) d<sub>33</sub> type and (b)d<sub>31</sub> type.</p></caption>
<graphic xlink:href="sensors-09-06362f12.gif"/></fig>
<fig id="f13-sensors-09-06362" position="float">
<label>Figure 13.</label>
<caption>
<p>Two modes of piezoelectric conversion from input mechanical stress.</p></caption>
<graphic xlink:href="sensors-09-06362f13.gif"/></fig>
<fig id="f14-sensors-09-06362" position="float">
<label>Figure 14.</label>
<caption>
<p>Reported ME composite film structures: 3-1 [<xref ref-type="bibr" rid="b73-sensors-09-06362">73</xref>,<xref ref-type="bibr" rid="b74-sensors-09-06362">74</xref>], 3-0 [<xref ref-type="bibr" rid="b76-sensors-09-06362">76</xref>], and 2–2 [<xref ref-type="bibr" rid="b79-sensors-09-06362">79</xref>].</p></caption>
<graphic xlink:href="sensors-09-06362f14.gif"/></fig>
<fig id="f15-sensors-09-06362" position="float">
<label>Figure 15.</label>
<caption>
<p>(a) schematics and (b) TEM microstructure of PZNT-NCZF 3-2 ME composite film by AD. (c) ME coefficient of 3-2 ME composite film with PZNT-NCZF fabricated by AD as a function of DC magnetic bias field [<xref ref-type="bibr" rid="b80-sensors-09-06362">80</xref>].</p></caption>
<graphic xlink:href="sensors-09-06362f15.gif"/></fig>
<table-wrap id="t1-sensors-09-06362" position="float">
<label>Table 1.</label>
<caption>
<p>Sources of energy available in the surrounding which are/can be tapped for generating electricity [identified in first draft of standards on vibration energy harvesting, Center for Energy Harvesting Materials and Systems (CEHMS)].</p></caption>
<table frame="box" rules="all">
<thead>
<tr>
<th align="left" valign="middle"><bold>Human body</bold></th>
<th align="left" valign="middle"><bold>Vehicles</bold></th>
<th align="left" valign="middle"><bold>Structures</bold></th>
<th align="left" valign="middle"><bold>Industrial</bold></th>
<th align="left" valign="middle"><bold>Environment</bold></th></tr></thead>
<tbody>
<tr>
<td align="left" valign="top">Breathing, blood pressure, exhalation, body heat, walking, arm motion, finger motion, jogging, swimming, eating, talking</td>
<td align="left" valign="top">Aircraft, UAV, helicopter, automobiles, trains, tires, tracks, peddles, brakes, shock absorbers, turbines</td>
<td align="left" valign="top">Bridges, roads, tunnels, farm house structures, control-switch, HVAC systems, ducts, cleaners, etc.</td>
<td align="left" valign="top">Motors, compressors, chillers, pumps, fans, conveyors, cutting and dicing, vibrating mach.</td>
<td align="left" valign="top">Wind, ocean currents, acoustic waves.</td></tr></tbody></table></table-wrap>
<table-wrap id="t2-sensors-09-06362" position="float">
<label>Table 2.</label>
<caption>
<p>Characteristics of reported piezoelectric micro-generators</p></caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="center" valign="middle">Power (μW)</th>
<th align="center" valign="middle">Frequency (Hz)</th>
<th align="center" valign="middle">Acceleration (g)</th>
<th align="center" valign="middle">Power density (μW/cm<sup>3</sup>)</th>
<th align="center" valign="middle">Mode</th>
<th align="center" valign="middle">Materials</th>
<th align="center" valign="middle">Ref.</th></tr></thead>
<tbody>
<tr>
<td align="center" valign="top">1.0</td>
<td align="center" valign="top">13.9k</td>
<td align="center" valign="top">10.8</td>
<td align="center" valign="top">37,037<xref ref-type="table-fn" rid="tfn1-sensors-09-06362">*</xref></td>
<td align="center" valign="top"><italic>d</italic><sub>33</sub></td>
<td align="center" valign="top">PZT</td>
<td align="center" valign="top">[<xref ref-type="bibr" rid="b24-sensors-09-06362">24</xref>]</td></tr>
<tr>
<td align="center" valign="top">2.16</td>
<td align="center" valign="top">609</td>
<td align="center" valign="top">1</td>
<td align="center" valign="top">10,843<xref ref-type="table-fn" rid="tfn1-sensors-09-06362">*</xref></td>
<td align="center" valign="top"><italic>d</italic><sub>31</sub></td>
<td align="center" valign="top">PZT</td>
<td align="center" valign="top">[<xref ref-type="bibr" rid="b60-sensors-09-06362">60</xref>]</td></tr>
<tr>
<td align="center" valign="top">2.15</td>
<td align="center" valign="top">461</td>
<td align="center" valign="top">2</td>
<td align="center" valign="top">3,272</td>
<td align="center" valign="top"><italic>d</italic><sub>31</sub></td>
<td align="center" valign="top">PZT</td>
<td align="center" valign="top">[<xref ref-type="bibr" rid="b25-sensors-09-06362">25</xref>]</td></tr>
<tr>
<td align="center" valign="top">3.98</td>
<td align="center" valign="top">226–234</td>
<td align="center" valign="top">0.5</td>
<td align="center" valign="top">------</td>
<td align="center" valign="top"><italic>d</italic><sub>31</sub></td>
<td align="center" valign="top">PZT</td>
<td align="center" valign="top">[<xref ref-type="bibr" rid="b61-sensors-09-06362">61</xref>]</td></tr>
<tr>
<td align="center" valign="top">40</td>
<td align="center" valign="top">1.8k</td>
<td align="center" valign="top">1.9<xref ref-type="table-fn" rid="tfn1-sensors-09-06362">*</xref></td>
<td align="center" valign="top">21,680<xref ref-type="table-fn" rid="tfn1-sensors-09-06362">*</xref></td>
<td align="center" valign="top"><italic>d</italic><sub>31</sub></td>
<td align="center" valign="top">PZT</td>
<td align="center" valign="top">[<xref ref-type="bibr" rid="b62-sensors-09-06362">62</xref>]</td></tr>
<tr>
<td align="center" valign="top">0.045</td>
<td align="center" valign="top">1,495</td>
<td align="center" valign="top">2</td>
<td align="center" valign="top">-------</td>
<td align="center" valign="top"><italic>d</italic><sub>31</sub></td>
<td align="center" valign="top">AIN</td>
<td align="center" valign="top">[<xref ref-type="bibr" rid="b63-sensors-09-06362">63</xref>]</td></tr></tbody></table>
<table-wrap-foot><fn id="tfn1-sensors-09-06362">
<label>*</label>
<p>Estimated values</p></fn></table-wrap-foot></table-wrap></sec></back></article>
