6.1. Ferrite Antenna-Based AM Metal Detector
In the existing FD metal detectors, the coils of the AM receiving circuits do not have ferromagnetic cores capable of increasing the magnetic flux [
15]. A ferromagnetic core in the AM receiving antenna will allow for reducing the number of turns and improving sensitivity and the signal-to-noise ratio. In this regard, the possibility of using a Ferrite Antenna (FA) as an AM receiving antenna is of particular interest.
Figure 15 shows a general version of the design of such a ferrite antenna-based AM [
40].
AM consists of a radiating Loop Antenna (LA) 1 placed on a ring frame 7 and a ferrite antenna composed of three elements: a ferrite cylindrical core 2 and receiving coils 3 and 4. Inside frame 7, in its plane, a base dielectric prism 8 is diametrically located, the length and height of which are equal to the frame’s inner diameter and thickness, respectively. Prism 8 has a symmetrically located transverse through-hole in the center, in which core 2 is fixed. Receiving coils 3 and 4 are located at opposite ends of core 2 symmetrically to the main symmetry axes of prism 8. Such a design solution stipulates for a mutual orthogonal arrangement of transmitting coil 1 and receiving coils 3, 4. With such a spatial orientation of the transmitting and receiving coils, the condition of their mutual inductance coefficient initially equal to zero will be met. The possibility of axial travel of receiving coils 3 and 4 along core 2 allows for providing the required initial compensation for the primary field signal. The mutual arrangement of receiving coils 3 and 4 on core 2 is set in two steps: first, roughly, by fixing each receiving coil in a certain place on core 2, and further, smoothly, using a special adjusting micro-screw.
Figure 16 shows a flowchart of a metal detector for the SO localization, where 1—combined AM consisting of radiating LA 2 and receiving coils 3 and 4, forming a FA together with ferrite core 5; 6—instrumental amplifier-adder; 7—audio frequency sinusoidal electrical signal generator; 8—computing unit; 9′—synchronous detector forming an in-phase measuring channel jointly with ADC 10′; 9″—synchronous detector forming a quadrature measuring channel jointly with ADC 10″; 11—data input device; 12—indicator.
The mutual spatial arrangement of the radiating loop antenna 2 and receiving coils 3 and 4 provides geometric primary field compensation (the mutual inductance coefficient of the antenna and receiving coils is zero), and the differential connection of coils 3 and 4 ensures mutual compensation for the EMF induced by external electromagnetic disturbances and additive noise. In this case, the total EMF at the output of amplifier 6 is equal to zero. This determines the metal detector’s invariancy to the impact of a uniform external background electromagnetic field and various destabilizing factors (changes in ambient temperature, humidity, etc.), i.e., increased noise immunity.
In the presence of a semiconducting host medium, the field of radiating loop antenna 2 magnetizes this medium causing a secondary polarized electromagnetic field (reradiated by the medium), already perceived by coils 3 and 4. Moreover, if the host medium is homogeneous, the compensation is not violated. The reflected electromagnetic wave vector is generally spatially oriented (polarized) differently from the sounding electromagnetic wave, leading to the emergence of corresponding horizontal components of this wave. At any time, signals are generated at the receiver output by electromagnetic waves reflected from the SO, spatially located in a certain way relative to the magnetic antenna’s receiving coils. In fact, electromagnetic waves reflected by the FA are recorded by its receiving coils 3 and 4 at, respectively, two spaced coordinate points within certain solid (viewing) angles ∆Ω′ and ∆Ω″.
When a foreign SO occurs in the host medium, the corresponding mutual induction effects emerge between it and each receiving coil. If the SO is spatially located asymmetrically relative to coils 3 and 4 (∆Ω′ ≠ ∆Ω″), the initial compensation is violated, and the corresponding voltage is generated at the output of instrumental amplifier-adder 6:
The voltage at the output of instrumental amplifier 6 is the sum of two terms:
where
and
are, respectively, the in-phase and quadrature components (with respect to the excitation voltage
LA);
and
are, respectively, the SO magnetic permeability and specific electrical conductivity.
From amplifier 6, the signal is fed to the data inputs of synchronous detectors 9′ and 9″, the reference inputs of which are connected, respectively, to the outputs of the in-phase or quadrature reference voltages of computing unit 8.
The output signals of synchronous detectors 9′ and 9″ are described by the following Equation (3):
where ψ
0 is the reference signal phase; ψ is the recorded data signal phase;
r is the synchronous detector transmission coefficient.
Reference voltages for synchronous detectors are generated by unit 8 according to the set output signal parameters of generator 7, entered to unit 8 using a priori data input device 11, where the a priori data are the set parameters μef; μ∗; w; S; Um; ω; Hm; Em; ψ0; r.
The outputs of synchronous detectors 9′ and 9″ are connected to the ADC inputs 10′ and 10″, respectively, which convert the analog input data signals into the corresponding digital signals of the in-phase and quadrature measuring channels, fed to the data inputs of computing unit 8.
According to the source data entered by data input device 11 and the recorded values of digital data signals of the in-phase and quadrature measuring channels, computing unit 8 performs algorithmic processing of these signals while detecting a subsurface object in the search area and identifying it by defining its magnetic permeability and electrical conductivity. A certain device calibration allows for defining the object’s depth. The computing unit 8 calculation results are displayed in the appropriate format on indicator 12.
The considered metal detector scans the studied host medium, fixing the degree of violation of the initial compensation of measuring coils, and the corresponding SO parameters are defined by the unbalance signal magnitude and sign. All the components required for the data signal processing algorithm are determined at the device’s preliminary calibration stage using the corresponding reference physical models of the host medium and SO.
The advantages of the proposed SO localization device are the effective implementation of the primary background electromagnetic field compensation conditions, the elimination of the impact of changes in the parameters of the ferromagnetic core and receiving coils on the receiving magnetic antenna characteristics, and significantly reduced inter-turn leakage in the receiving coils and the impact of external interference on them. The combination of the advantages of radiating loop antennas and the specifics of receiving magnetic antennas (high sensitivity), as well as their respective design, sets the proposed technical solution apart from its analogs and allows for significantly improving the sensitivity, selectivity, and manufacturability of the hidden object localization device [
41]. Herewith, a ferromagnetic core in the AM receiving antenna allows for reducing the number of turns in it and improving its sensitivity and the signal-to-noise ratio.
6.2. Hybrid Subsurface Sounding Technique
The hybrid subsurface sounding technique is of particular interest, which is implemented in an AM with a receiving single-section FA and LA combining the functions of the transmitting and receiving antennas [
7,
42]. An FA placed coplanarly inside a horizontal LA implements the technique of the response of the electromagnetic field parameters to the medium’s intrinsic or surface impedance, and the LA implements the technique of the receiving loop’s input impedance response to the probed medium’s electromagnetic properties. Herewith, the FA is structurally a single-section magnetic antenna placed coplanarly inside the horizontal LA.
Figure 17 shows a version of the AM design based on FA and LA with combined functionality. Such a structural solution stipulates for a mutually orthogonal arrangement of the LA and the FA’s receiving electric coil, which eliminates the direct connection between them and thereby geometrically compensates for the primary field. When implementing the hybrid subsurface sounding technique, data are recorded via three measuring channels:
Two measuring channels of the receiving FA, which are used to measure, respectively, the current values of the voltage amplitude of the input signal’s active and reactive components;
Measuring channel of transmitting-and-receiving LA, which is used to measure the current value of the LA exciting current amplitude.
Such data redundancy significantly improves the reliability and accuracy of the hidden metal object detection technique. This improves the efficiency of subsurface sounding in general.
Figure 18 shows the structure flowchart of the hybrid subsurface sounding technique, where 1—transmitting-and-receiving LA; 2—receiving FA; 3—the procedure for recording and in-phase-quadrature converting FA signal (induction EMF) via the main measuring channel (MMC); 4—the procedure for recording and converting the reaction of the radiating LA impedance, caused by the SO electromagnetic properties, into an electrical signal via an additional measuring channel (AMC); 5—the procedure for algorithmic processing of measured data to define the SO parameters; 6—
UH harmonic signal generator exciting the primary electromagnetic field; 7—host medium; 8—SO; 9—eddy currents;
HP—magnetic component of the primary electromagnetic field;
HS—polarized magnetic component of the secondary electromagnetic field;
HX and
HY—horizontal and vertical components of the polarized magnetic component of the secondary electromagnetic field;
RSH—measuring current shunt;
a1 and
b1—the MMC static function coefficients for in-phase conversion;
a2 and
b2—the MMC static function coefficients for the quadrature conversion;
a3 and
b3—the AMC static function conversion coefficients;
UFA—the FA data signal (induction EMF);
UIPmmc and
UQmmc—in-phase and quadrature components of the
UFA data signal, respectively;
UAMC—the LA data signal;
F(ω; φ;
t)—synchronization of the MMC conversion with the time parameters of the harmonic signal exciting the primary electromagnetic field; σ and μ—respectively, the SO specific electrical conductivity and magnetic permeability;
h—the SO depth [
43,
44].
When implementing the hybrid subsurface sounding technique, the operation frequency signal is fed from sinusoidal voltage generator 6 to transmitting-and-receiving LA 1, creating a primary electromagnetic field in the surrounding space. When SO 8 occurs in the host medium 7, it is magnetized by the primary field generating induced eddy current 9 in it, which generates a secondary (reradiated) electromagnetic field with a polarized magnetic component HS. The secondary electromagnetic field is recorded using spatially combined LA 1 and receiving FA 2.
The secondary field acts on receiving FA 2 and induces an induction EMF in it, generating a UFA signal. The UFA signal is converted into in-phase and quadrature electrical signals via the main measuring channel while the in-phase and reactive signals are proportional to, respectively, the specific electrical conductivity σ and magnetic susceptibility μ of SO 8. These in-phase and quadrature electrical signals are used as the MMC output signals. Thereat, the conversion via the main measuring channel is synchronized with the time parameters of the harmonic signal of sinusoidal voltage generator 6, exciting the primary electromagnetic field.
With a constant supply voltage of radiating LA 1, the electromagnetic field of eddy currents will increase its impedance and, as a result, decrease the strength of the current flowing in it. Thereat, the LA1 impedance will depend on the SO 8 eddy current magnitude and pattern of distribution in the host medium, i.e., the specific electrical conductivity σ and the SO 8 depth. In this case, the excitation current amplitude of loop antenna 1 is an informative parameter. The change in the impedance of radiating LA 1, caused by the electromagnetic properties of SO 8, is fixed via an additional measuring channel. To do this, an electrical signal proportional to the excitation current of radiating LA 1 is read by the AMC measuring current shunt RSH, further converted, and used as the AMC output signal. Then, the measured data are algorithmically processed to define the SO 8 parameters. To do this, the MMC and AMC output signals are jointly and algorithmically processed according to the source data set as the MMC static function coefficients a1, b1, a2 and b2, and the AMC static conversion function coefficients a3 and b3. According to the algorithmic processing results, the presence of subsurface SO 8 in the search area and its depth are recorded, and it is also identified by defining its magnetic permeability and electrical conductivity.
All the components required for the data signal processing algorithm are defined at the preliminary preparation stage by exposing the FA to a certain set of reference standards.
The SO 8 parameters are defined according to the following algorithm:
where
a1,
b1 and
a2,
b2 are, respectively, the MMC static quadrature and in-phase conversion function coefficients, defined at the stage of preliminary preparation of the host medium scanning by exposing FA 2 to a certain set of reference standards;
a3,
b3 are the LA 1 AMC static conversion function coefficients; σ and μ are the SO 8 electrical conductivity and magnetic permeability, respectively;
h is the SO 8 depth in the host medium.
Figure 19 shows a structure flowchart of a version of the hardware design of a metal detector implementing the combined subsurface sounding technique, where 1—AM; 2—LA; 3—receiving coil; 4—ferrite core; 5—measuring amplifier; 6′ and 6″—buffer amplifiers; 7—audio frequency sinusoidal voltage generator; 8—quadrature reference voltage shaper; 9′ and 9″—synchronous detectors (SD); 10′ and 10″—ADC units; 11—computing unit; 12—current meter; 13—ADC unit; 14—data input device; 15—indicator;
RMSH—measuring current shunt. The AM elements 3 and 4 functionally form the FA. LA 2 is arranged orthogonally to the FA receiving coil 3, which provides geometric compensation for the primary field required for the FA [
45].
This hybrid subsurface sounding technique and its technical implementation allow for defining the SO location and depth h in the host medium, as well as identifying the SO by σ and μ. parameters. All this significantly improves the informativity and efficiency of the proposed hybrid technique for detecting subsurface objects and expands the scope of its application.
A general view of the AM layout with combined functionality is shown in
Figure 20.
For example,
Figure 21 shows the functionality of the experimental sample of this metal detector when detecting underground cables at the depth
h0.5 = 0.5 m;
h1 = 1 m;
h2 = 2 m; h
3 = 3 m (
S—cross-section area of main cable cords (copper/aluminum).
The distribution of the relative error in determining the depth of occurrence by a metal detector for cables with copper main conductors and different cross-sectional areas is shown in
Figure 22.
6.3. Multiplied Subsurface Sounding Technique
The development of the hybrid subsurface sounding is the multiplied subsurface sounding technique, also implemented through the AM containing a receiving single-section FA and LA with combined functionality.
There are real limitations associated with the FA sensitivity threshold, which, in turn, leads to a sensitivity error, i.e., the FA sensitivity largely depends on its ferromagnetic core parameters (magnetic permeability) [
8]. This factor significantly increases the likelihood of cases such as target drop-out or false responses.
Figure 23 shows the flowchart of the multiplied subsurface technique, where 1—transmitting-and-receiving LA; 2—receiving FA; 3—the procedure for recording and in-phase-quadrature converting the
UMMC data signal via the MMC; 4—the procedure for recording and converting the reaction of the impedance of the radiating LA impedance, caused by the SO electromagnetic properties, into an
UAMC electrical data signal via the AMC; 5—initiated procedures for recording data signals and algorithmic processing of measured data to define the SO parameters; 6—
UH harmonic signal generator exciting the primary electromagnetic field; 7—host medium; 8—SO; 9—eddy currents; 10—the procedure for ratiometric conversion of two data signals
UMMC and
UAMC, where the conversion result is a quotient of the division Δ =
UMMC/
UAMC; 11—the procedure for comparing two values ∆ and ∆
T, where ∆
T is the threshold minimum to detect a foreign SO 8 in the host medium 7; 12—controlled source of the
U0 constant scaled electric signal for biasing the FA core; 13—the procedure for Separation Filtering (SF) the
UMMC data signal and the
U0 constant scaled electric signal; μ
FA is the magnetic permeability of the FA rod;
UIPmmc and
UQmmc—in-phase and quadrature components of the
UMMC data signal, respectively;
ILA—the LA excitation current;
HP—magnetic component of the primary electromagnetic field;
HS—polarized magnetic component of the secondary electromagnetic field;
HX and
HY—horizontal and vertical components of the polarized magnetic component of the secondary electromagnetic field;
RSH—measuring current shunt;
a1 and
b1—the MMC static in-phase conversion function coefficients;
a2 and
b2—the MMC static quadrature conversion function coefficients;
a3 and
b3—the AMC static conversion function coefficients;
—the initiation of the FA multiplied amplification mode and algorithmic definition of the SO parameters;
F(ω; φ;
t)—synchronization of the MMC conversion with the time parameters of the harmonic signal exciting the primary electromagnetic field; σ
SO and μ
SO—respectively, the SO specific electrical conductivity and magnetic permeability;
hSO—the SO 8 depth [
46].
Figure 24 shows a version of the technical implementation of procedure 13, where
L and
C are the reactive components of the procedure, ensuring the corresponding separation of the
UMMC data signal in the MMC (HF filtering using a capacitor
C) and the
U0 electric bias signal (LF filtering using a choke in the form of inductance
L), i.e.,
UMMC enters the MMC through the HF separation filter, and the
U0 constant scaled electrical signal is fed to the FMA choke through the separation LF filter.
When implementing the multiplied detection technique, the operating frequency signal UH is fed from audio frequency generator 6 to LA 2, inducing a primary electromagnetic field in the surrounding space. The primary electromagnetic field is generated and the secondary one is recorded through spatial combination of LA 1 and receiving FA 2. Since the LA and FA have a mutual orthogonal arrangement, then in the absence of the SO in the search area, the total EMF at the FA output will be equal to zero, i.e., UMMC = 0. Thereat, the AMC output signal will be the maximum for a given UH value: UAMC = max. Therefore, in the absence of SO 8 in the search area, the signal ratio Δ = UMMC/UAMC will be equal to zero: Δ = 0.
When SO 8 occurs in the host medium 7, the LA’s HP primary field induces an EMF in it, which causes eddy currents 9 generating a secondary (reradiated) electromagnetic field with a polarized magnetic component HS. Thus, in the presence of PO 8 in the host medium, a horizontal magnetic component HX of the secondary magnetic field occurs, violating the initial compensation. The presence of SO in the host medium, sharply contrasting against its background with its physical properties, also correspondingly redistributes the existing ratio Δ between the HX and HY components in the HS secondary magnetic field composition, i.e., in the general case, Δ is a variable taking on a certain numerical value in the presence of SO at its well-pronounced polarizing properties.
In other words, a stable local inhomogeneity Δ in the form of SO in the host medium will take on a certain threshold value ∆T, which is a factor reliably determining the presence or absence of a foreign SO in the host medium. In this case, a noticeable increase in the HX component and a corresponding change in HY, i.e., a significant increase in Δ to the conditional threshold value ∆T will be recorded.
The horizontal magnetic component HX of the secondary magnetic field HS acts on receiving FA 2 and induces an induction EMF in it in the form of the MMC data signal UMMC, which undergoes separating filtration 13 with subsequent recording and in-phase-quadrature conversion 3.
Eddy currents 9, induced in SO 8, generate a secondary electromagnetic field. That electromagnetic field HS magnetic component strength will be equal to the strength difference of the magnetic components of the exciting and secondary electromagnetic fields. Thus, the vertical magnetic component HY of the secondary magnetic field HS, acting on LA 1, will increase its impedance while decreasing the electric current in it. In this case, the impedance of LA 1 will depend on the magnitude and the distribution pattern of eddy currents in SO 8, i.e., its specific electrical conductivity σ and depth h. In this case, the informative parameter is the amplitude of the excitation current ILA of LA 1. The change in the radiating LA 1 impedance, caused by the electromagnetic properties of SO 8, is fixed via an Additional Measuring Channel (AMC). To do this, an electrical signal is read as a voltage proportional to the excitation current ILA of the radiating LA 1 by the AMC measuring current shunt RSH and further converted. The resulting signal UAMC is proportional to the vertical magnetic component HY of the secondary magnetic field. This electrical signal UAMC is used as the AMC output data signal. Thus, when SO 8 occurs in the search area, the UAMC value starts reducing; therefore, the signal ratio UMMC/UAMC = Δ will increase.
The technique involves a ratiometric conversion of the data signals UMMC and UAMC, the result of which is a quotient of the division UMMC/UAMC = Δ. The Δ value is regularly compared with the set threshold ∆S, which is a factor reliably determining the presence of foreign SO 8 in the host medium 7.
To improve the SO identification and depth definition accuracy, when the fact of the possible SO presence in the host medium is established, i.e., the condition ∆ ≥ ∆S is met, the FA is switched to the multiplied amplification mode.
When searching for an electrically conductive SO 8, preliminary setting a high MMC sensitivity by switching FA 2 to the multiplied amplification mode may cause false responses from minor host medium abnormalities such as geoelectrical inhomogeneities of the upper earth’s crust layers. This will lead to information uncertainty when implementing the technique in general.
When the condition ∆ ≥ ∆S is met, the process occurs, initiating the FA multiplied amplification mode and the algorithmic definition of the SO parameters.
When the process initiates the FA multiplied amplification mode, the source of a constant scaled electrical signal 12 generates a voltage U0 of the required magnitude. After separating filtration 13 through the LF filter (choke L), this voltage is fed to the FA coil. Due to this, the corresponding direct bias current starts flowing through the FA coil and is used to magnetize the FA core. Thereat, the required current amplitude and reliable separation of the FA coil’s variable data signals from the source of a constant scaled electrical signal U0 are provided.
Moreover, in separating filtration 13 through the HF filter (capacitor C), the electric signal U0 is separated from the MMC’s secondary conversion circuits, and variable data signals are transmitted from the FA coil to these circuits.
Procedures 12 and 13, in fact, facilitate the magnetization of the FA ferromagnetic core by a constant (bias) magnetic field in the presence of SO 8 in the host medium 7, thereby creating the conditions for switching FA 2 to the multiplied amplification mode when this is the case, which significantly increases the AMC’s data signal UMMC and thereby, improves the accuracy and sensitivity of the hidden electrically conductive SO detection technique.
In this case, core 2 is, in fact, a magnetic conductor with the parameter μ → μmax. controlled by an additional constant bias field Hbias. The measuring coil FA is used here as a control winding connected in series from the side of the source of the control reference input signal U0 with an LF filter made as a choke with inductance L, which has a small active resistance for a DC signal but a large reactive resistance for the variable EMF induced in the FA measuring winding by the measured alternating magnetic field and being the FA output signal .
The procedure for recording and in-phase-quadrature conversion of the UMMC data signal by the main MMC involves decomposing this data signal into in-phase and quadrature electrical signals while the in-phase-quadrature conversion is synchronized with the time parameters of the harmonic signal UH of sinusoidal voltage generator 6, exciting the primary electromagnetic field, using corresponding synchronization process F(ω; φ; t). In this case, the received signal is proportional to the specific electrical conductivity σSO of SO 8, and the signal is proportional to the magnetic susceptibility μSO of SO 8. These in-phase and quadrature electrical signals are used as the MMC output signals.
Under appropriate conditions (Hbias = H0), the FA operation in the multiplied amplification mode significantly reduces the error of the real conversion of the input HX value by the main measuring channel and provides the highest sensitivity of the AM.
The mode of the algorithmic definition of the SO parameters initiates procedure 5 for recording and joint algorithmic processing of output data signals , and UMMC, the results of which determine the subsurface SO 8 depth hSO in the search area and identify it by defining its magnetic permeability μSO and electrical conductivity σSO. All the components required for the data signal processing algorithm are defined at the preliminary preparation stage by exposing the FA to a certain set of reference standards.
Unit 5 determines the SO depth
hSO and finally identifies the SO by the μ
SO and σ
SO values using the following algorithms:
where
,
and
,
are the rated static quadrature and in-phase conversion function coefficients of the FA MMC;
and
are the LA AMC real static function conversion coefficients; ξ
σ and ξ
μ are sensitivity error coefficients for, respectively, the σ
SO and μ
SO parameters.
According to the provided algorithms, when ∆ ≥ ∆T, the FA is switched to the multiplied amplification mode, where ξσ/μmax→0 and ξμ/μmax→0, i.e., the FA real static conversion function approaches its rated form.
Introducing a controlled multiplied FA amplification mode noticeably improves the technique’s sensitivity in general, which significantly reduces the likelihood of such consequences as target drop-out or false response, i.e., the lowest possible values of the measured σSO and μSO provide the stable mode of detecting and identifying SOs.
Figure 25 shows a structure flowchart of a metal detector implementing the multiplied subsurface sounding technique to detect metal SOs, where 1—AM; 4—separating filter (SF); 5—switch; 6—audio frequency electrical signal generator; 7—reference voltage generator; MC
1 and MC
2—the first and second measuring channels, respectively; 10—magnetic amplification mode setting voltage generator; 15—computing unit (CU).
AM contains a transmitting-and-receiving loop antenna LA and a receiving magnetic antenna FA consisting of a ferrite core 2 and a receiving coil 3. LA has an orthogonal spatial arrangement relative to the receiving coil 3. A capacitor C1 is connected in series with LA 2, and they jointly form a resonant circuit. The first MC1 contains a synchronous detector 8 and a secondary signal processing unit 9. In turn, MC2 includes an amplifier with a symmetrical input 11, a selective amplifier 12, a synchronous detector 13, and a secondary signal processing unit 14.
It should be noted that there is also a modified version of the technical implementation of the multiplexed subsurface sounding technique for detecting metal SOs, where the AM contains a two-section FA with a differential connection of these section windings [
47].
Figure 26 shows a structure flowchart of such an improved metal detector, where 1—AM; 5—separating filter (SF); 6—audio frequency electrical signal generator; 7—reference voltage generator; MC
1 and MC
2—the first and second measuring channels, respectively; 10—magnetic amplification mode setting voltage generator; 16—switch.
AM 1 of the modified metal detector contains a transmitting-and-receiving loop antenna LA and a receiving two-section FA consisting of a ferrite core 2 and two identical receiving coils 3 and 4 with differentially connected windings. In the presence of external in-phase electromagnetic noise, inducing EMFs with the same amplitudes and phases in coils 3 and 4, the specified connection of coils 3 and 4 will provide complete mutual compensation for these ENFs. SF 5 consists of two filtration subsystems, one of which contains reactive elements L′ and C′, and another—reactive elements L″ and C″.
The first MC1 contains a synchronous detector 8 and a secondary signal processing unit 9, and MC2—buffer amplifiers 11 and 12, an instrumental amplifier 13, a synchronous detector 14, and a secondary signal processing unit 15. Unit 10 generates bipolar mode setting voltages (−UMS and +UMS), which are fed to the data inputs of switch 16. When switch 16 is activated by the UMS(t) signal, the mode setting voltages from its data outputs excite corresponding bias currents of the MA coils 3 and 4 through the corresponding reactive elements (L′ and L″) of SF 5. Thereat, the required phases and amplitudes of these currents and reliable spacing of the unit 16 outputs from variable data signals from coils 3 and 4 are provided. Moreover, the inputs of buffer amplifiers 11 and 12 are separated from constant electrical signals from unit 16 through the corresponding reactive elements (C′ and C″) of SF 5.
Figure 27 shows a general AM layout of a modified version of the metal detector.
The modified metal detector version implementing the multiplied subsurface sounding technique facilitates high efficiency and simplicity of primary field compensation and significantly reduces inter-turn leakage in the FA coils, exposure to external electromagnetic noise, and the impact of changes in the receiving coil and ferromagnetic core parameters on the metal detector output characteristics. Thus, the modified metal detector version has many advantages over its analog.
The multiplied induction sounding technique provides a high level of efficiency in detecting and identifying various subsurface objects. The implementation of a resonant excitation mode in the circuit of the transmitting-and-receiving radiating loop antenna LA, as well as the use of two independent measuring channels and switching the receiving FA to the magnetic amplifier mode, the control signal for which is obtained using the LA, improves the sounding sensitivity and accuracy and leads to a significant decrease in the sensitivity threshold of the FA functioning as a measuring transducer. This allows for recommending this technique for use in the quick detection and precise location of various SOs during construction, earthworks, rescue, repair, etc.
6.4. Metal Detector with Goniometric AM
Wide opportunities in choosing the type and spatial orientation of radiating LAs and receiving antennas allow for solving numerous problems arising when detecting, tracking, and examining SOs using electromagnetic impedance measurements. An example is determining on which AM side an extended SO (e.g., an electric cable) passes by measuring secondary electromagnetic fields and finding the angle α, at which the AM crosses the electric cable route in the tracking mode.
The analysis of the design features of Ams with different LA arrangements showed the expediency of using a set of crossed receiving FAs placed inside and in the plane of the horizontal radiating LA (coplanar). An example of such a technical solution is a metal detector with a goniometric AM consisting of two mutually perpendicular FAs (
Figure 28). The ferrite elements of each FA, forming a cruciform ferrite core 5, respectively, hosts receiving coil sections 3′ ÷ 3″ and 4′ ÷ 4″, having the same shape, size, and number of winding turns and located in pairs symmetrically relative to the AM geometric axes [
48,
49].
AM consists of LA 2, placed on a flat ring frame 1, and a Bellini–Tosi ferrite antenna combining four elements: a cruciform ferrite core 5, two pairs of sectional coils 3′ ÷ 3″ and 4′ ÷ 4″, forming, respectively, receiving coils 3 and 4, and basing tetraradiate dielectric prism 6. Inside the ring frame 1, in its plane, a basing tetraradiate dielectric prism 6 is placed, the length and height of the rays of which are equal to, respectively, the frame’s inner diameter and approximately the prism thickness. Prism 6 has two symmetrical, transverse, mutually perpendicular through-holes in the center, in which four ferrite elements of the cruciform ferrite core 5 are fixed end-to-end. In each of the pairs, sectional coils 3′ ÷ 3″ and 4′ ÷ 4″ are placed on the corresponding ferrite elements of the cruciform ferrite core 5 symmetrically about the principal symmetry axes of prism 6. This design solution stipulates for a mutually orthogonal arrangement of the generator coil 1 and receiving coils 3, 4. A similar spatial orientation of the generator LA and the FA’s receiving coils meets the condition of initial equality of their mutual induction coefficient to zero.
The LA radiates a radio wave from the starting space point. After some time, this radio wave reaches the SO location point and induces electric currents in it, generating, in turn, reradiated radio waves propagating in all directions, including toward the receiving FA. The reradiated radio wave reaches the FA location point, generating the corresponding electrical signal in the form of an EMF in it.
This EMF is generated as a result of the joint impact of several factors: scattering on the air–ground interface irregularities and soil inhomogeneities; reflection from a subsurface object located at depth
R; diffraction and scattering of waves on the object surface irregularities, etc. [
50,
51,
52]. All these processes are implemented in some orthogonal coordinate system (X—horizontal, Y—vertical).
RA radiates a radio wave, in which the electric vector Erad has only the X-component EXrad (horizontal polarization). In the absence of additional limitations, the electric vector of the reflected (reradiated) radio wave Eref will have, in the general case, a different orientation in space than Erad. In other words, in the chosen coordinate system, the Eref field will have two components EXref and EYref.
There is a direct proportionality between the intensities of the reflected and radiated radio waves (the lengths of the
Eref and
Erad vectors), which predetermines the following properties:
where
KXX and
KXY are the respective proportionality factors.
The sounding signal can be conditionally represented as a radio wave:
where
A(
t) and φ(
t) are functions slowly varying in time over the HF period
T = 2π/
f0.
In this case, each of the reflected radio wave components will have a certain phase shift relative to the primary radiated radio wave, and the orthogonal components of the reflected radio wave’s electric vector can be dynamically represented as follows:
When the SO is irradiated with a horizontally polarized radio wave, the reflected radio wave is defined by four parameters characterizing the SO: KXX, KXY, ψXX, and ψXY. For a radiating radio wave with only a Y-component (vertically polarized radio wave), four SO characteristics will be obtained: KYY, KYX, ψYY, ψYX.
Thus, if the emitted radio wave has an arbitrary polarization, i.e., there are two electric vector components EXrad and EYrad, then the SO can be completely described using the eight aforementioned parameters.
Considering the presence of the SO polarized basis and mutually orthogonal polarized bases of the LA and FA, the polarization vectors of back reflection scattering from the SO, i.e., the amplitude received signal, are as follows:
where
is the complex amplitude of the signal received from the underlying surface during irradiation and reception at, respectively, the
l-th and
k-th orthogonal polarizations;
, σ
kl and φ
kl are the effective scattering surface and the object surface phase during irradiation and reception at, respectively, the
l-th and
k-th orthogonal polarizations.
The FA receives reflected radio waves mainly within a certain solid angle ∆Φ (viewing angle) that can be quantitatively evaluated using two plane angles ∆α and ∆β in two mutually perpendicular sections of that solid angle, the values of which are defined by the λ/d ratio of the wavelength λ to the antenna’s linear size d in the corresponding sections. In this case, currents arise at the FA output, generated by electric currents excited by an incident wave on a rectangular area with linear dimensions R∆α × R∆β, located at a distance R from the FA.
Figure 29 shows the structure flowchart of a goniometric metal SO detector.
On
Figure 29: 1—AM; 6′ and 6″—channel differential amplifiers; 7—audio frequency AC generator; 8—phase shifter; 9—sum-difference device; 10—range phase shifter; 11—controlled reference voltage generator; 12′ and 12″—channel synchronous detectors; 13′ and 13″—channel ADCs; 14—recorder. AM 1 comprises radiating LA 2; goniometric FA consists of two pairs of sectional receiving coils (3′, 3″ and 4′, 4″) and a cruciform ferrite core 5.
Radiating LA 2 has a mutually orthogonal arrangement relative to the receiving coils of the goniometric ferrite antenna, which provides the required geometric compensation for the primary field, and the differential connection of each corresponding pair of sectional receiving coils implements mutual compensation for in-phase EMFs induced in them by external electromagnetic noise.
An operating frequency signal is fed from the audio frequency generator 7 to the generator coil 2, creating a primary alternating magnetic field in the surrounding space. The generator coil field in the form of a horizontally polarized wave from the vertical direction magnetizes the environment (the host medium and the SO), generating an alternating secondary magnetic field in the form of polarization scattering vectors of the back reflection from the SO, which is perceived by the receiving coils of the goniometric ferrite antenna.
Therefore, at any considered time instant, radio waves reflected from various electrically conductive objects located at a distance R from the receiving point generate signals at the metal detector output.
Thereat, the measured parameters are the induction components of either the alternating magnetic field or the alternating electric field intensity, or their modules.
In turn, the signals from each FA are fed to the corresponding channel differential amplifiers 6′ and 6″. The output of the differential amplifier 6′ is connected directly to the first input of the sum-difference device 9, and the output of the differential amplifier 6” is connected to the second input of the sum-difference device 9 through the phase shifter 8 ensuring a constant phase shift of 90° over the entire operating range.
At the sum-difference device 9 output, two voltages are generated:
where
U1 =
U × cosφ and
U2 =
U × sinφ are voltages from the first and second ferrite antennas, respectively;
U is the voltage from the first and second FAs when they are oriented to the signal maximum.
Voltages UA and UB are fed to the range phase shifter 10 implementing the Directional Pattern (DP) control principle based on the use of a broadband amplifier and phase shifter and thereby ensuring the possibility of changing the phase shift in the operating range within ±90°.
It should be noted that the voltage at the range phase shifter 10 output is defined by the equation:
where
A is a constant depending on the voltages
U1 and
U2 and the amplifier gain.
In this case, the maximum reception is obtained with φ + ψ = ±90°, and there is no reception at φ = −ψ. This facilitates the DP control in the horizontal plane, which is almost similar to the FA rotation.
Moreover, the voltages UA and UB from the sum-difference device 9 outputs are fed to the corresponding data inputs of the synchronous channel detectors 12′ and 12″, the reference inputs of which are connected to the controlled reference voltage shaper 11 output.
The voltage from the range phase shifter 10 output is fed to the second (control) input of the reference voltage generator 11. The reference voltage phase for synchronous detectors is formed according to the control signal from the range phase shifter 10 from a sinusoidal voltage fed from the generator 7 output to the first input of unit 11. In this case, the interfering signal coming from different angular directions is significantly reduced without a noticeable suppression of the useful signal, allowing one to obtain sample values of the polarization vectors of the back reflection scattering from the detected SO.
In turn, the signals from the outputs of the channel synchronous detectors 12′ and 12″ are fed to the corresponding inputs of the channel ADCs 13′ and 13″, converting data signals into digital sequences entered, in turn, into recorder 14. Recorder 14 allows for defining the module and phase of the horizontal magnetic component of the reradiated magnetic field. Based on the values of these informative parameters and the results of comparing the emitted and received radio signals, the SO presence in the host medium and its spatial location are determined.
Figure 30 shows a general view of the layout of an AM goniometric metal detector.
The Bellini–Tosi antenna allows for isolating interfering radio stations by setting the zero DP direction on it, significantly reducing the direct atmospheric noise. In turn, placing two spaced and sequentially connected sectional inductance coils on the corresponding composite ferrite rod of each FA improves the metal detector efficiency, i.e., increases the active FA height and sensitivity. Moreover, in this case, the FA inductance reduces almost twice, which allows for increasing the total number of turns in both coils with pull-through winding by about .
Other advantages of this metal detector are the efficiency and simplicity of the applied way of compensation, the eliminated impact of variations in the ferromagnetic core parameters and receiving coils on the metal detector characteristics, and significantly reduced inter-turn leakage in the receiving coils and the impact of external noise on them. A successful combination of the advantages of various well-known AM classes and the FA features favorably distinguishes the considered metal detector from its analogs.