Eye Vision Testing System and Eyewear Using Micromachines

Proposed is a novel eye vision testing system based on micromachines that uses micro-optic, micromechanic, and microelectronic technologies. The micromachines include a programmable micro-optic lens and aperture control devices, pico-projectors, Radio Frequency (RF), optical wireless communication and control links, and energy harvesting and storage devices with remote wireless energy transfer capabilities. The portable lightweight system can measure eye refractive powers, optimize light conditions for the eye under testing, conduct color-blindness tests, and implement eye strain relief and eye muscle exercises via time sequenced imaging. A basic eye vision test system is built in the laboratory for near-sighted (myopic) vision spherical lens refractive error correction. Refractive error corrections from zero up to  ́5.0 Diopters and  ́2.0 Diopters are experimentally demonstrated using the Electronic-Lens (E-Lens) and aperture control methods, respectively. The proposed portable eye vision test system is suited for children’s eye tests and developing world eye centers where technical expertise may be limited. Design of a novel low-cost human vision corrective eyewear is also presented based on the proposed aperture control concept. Given its simplistic and economical design, significant impact can be created for humans with vision problems in the under-developed world.


Introduction
A first focus of this paper is on efficient ophthalmic tests where eye examinations of young patients with vision limitations are carried out in order to ensure that prescriptions for the eyeglasses or contact lenses of the corrective lenses may be quickly issued to them [1][2][3].Today, these examinations are carried out through the use of phoropters, bulky optical instruments which patients are asked to look through while the optometrist manually changes certain settings and combinations of lenses until the patient is able to see a perfectly clear image of an eye chart across the room.There are several issues with this kind of examination, one of these being that these tests, depending on the patient, can take a long time (possibly up to 15 min).Another issue is that patients often have trouble distinguishing between the effects of certain lenses in the phoropter, leading the optometrist having to just pick one of them based on subjective instincts.Thus, these modern day eye evaluation methods are not very suitable for young children (aged 4-10 years).Not only do the test's subjectivity and the required patient participation make it harder for younger patients to get an accurate prescription, it could also be very difficult for a younger child to sit still for the duration of the examination.Because small children have limited patience and perseverance for these types of examinations, their parents may prefer to wait until they are older before taking them to the eye doctor.However, this means that existing vision defects will remain undiscovered and uncorrected for several years, possibly allowing them to grow in severity.With the increased use of internet-based visual display platforms, there is a concern about myopic progression in children caused by greater lengthening of the eye that in some cases can be so rapid that it can cause retinal detachment or bleeding of the eye via abnormal blood vessel growth.Inaccessibility of widespread eye care facilities in developing countries due to the high costs linked with the necessary technical expertise requirements to operate bulky and costly modern eye test equipment leads to a further urgency to develop a portable and automated eye vision test system.For these reasons, a lightweight and electrically programmable basic eye vision evaluation system is proposed for replacing the classic mechanics-based phoropter so as to enable a more cost effective, time-efficient, easier to operate, and "child friendly" early vision testing experience [4,5].
A second focus of the present paper is to propose and demonstrate the working principles of a new kind of ultra-low cost eye vision test system and its related large scale economically-produced eyewear that can be easily designed, fabricated, and provided at low cost to people from the disadvantaged world like parts of Asia, Africa, and the Middle East.Traditional eyewear is based on relatively expensive optical lenses either in spectacles or as contact lenses.The foundations of this new eye vision test system and eyewear is aperture-controlled imaging that is able to produce adequate in-focus vision for human eyes with refractive power limitations without the use of traditional and expensive refraction power corrective lenses in eyewear.The proposed novel eyewear designs are limited to specified vision ranges, limited refractive powers, and require adequate lighting levels.Nevertheless, it is expected that the high affordability of the proposed new technology for eye vision testing and care will improve the sight and hence lives of peoples from the underdeveloped world, a key motivation of the current work.
The paper begins with a history of the use of E-lenses for human vision care starting with the proposal to use E-lens-based spectacles for sight correction and later the use of E-lenses to perform human eye vision testing.Next, the proposed eye vision test system design is described based on micromachine-based devices.Three modes of the eye test system operations are described, including the basic optical principles governing these operational modes.Low cost vision correction eyewear design is described without the use of refractive lens-optics.Basic experiments demonstrating the principles of the proposed ideas are presented and the paper ends with a final conclusion.

History of Electronic Lenses in Human Vision Care
As aforementioned, eye vision correction measurement is traditionally done using bulky opto-mechanical systems called phoropters [6,7] that commonly have large moving parts and minimal handheld portability (see Figure 1).It would be highly desirable to have a vision (for prescription) test instrument that has minimal large moving parts and uses compact low power consumption optical and electronic devices.Although the design of liquid variable focus lenses has been around since the early 1940s, such as via the 1942 U.S. Patent by Flint [8], the desire to use mechanically programmable optical lens devices to replace spectacles for everyday use has been around since the 1960s.For example, Basil M. Wright (see Figure 2) was awarded a 1968 patent proposing the use of mechanically controlled liquid variable focus lenses for spectacle eyewear [9,10].In 1979, Sato of Japan [11] proposed the use of electrically programmable optical lens devices, now called Electronic lenses or E-lenses based on Liquid Crystals (LCs) to form electrically controlled varifocal spectacles worn by people who need both distance and reading glasses.In 1980, Dwight W. Berreman was issued a patent for an LC E-lens design suitable for use in eyeglasses [12].Sato also proposed the use of LC E-Lens for auto-focus cameras, but Sato, Berreman and Wright did not propose E-lenses for eye refractive power vision tests and measurements.In 1981, LC-based lenses in spectacles were also proposed to control the light transmission passing to the eyes to control image brightness [13].
(GE-CRD) fabricated novel electronically controlled LC lens devices [17], including for eye correction measurement applications [18,19].Specifically, to the best of our knowledge, Riza, in 1989, first proposed the use of the LC E-Lens for eye exams (see Figure 3) to measure refractive power change [18].Example of a typical commercial phoropter system commonly used today to measure eye refractive errors to determine human eyewear prescriptions [7].
Micromachines 2015, 6, page-page (GE-CRD) fabricated novel electronically controlled LC lens devices [17], including for eye correction measurement applications [18,19].Specifically, to the best of our knowledge, Riza, in 1989, first proposed the use of the LC E-Lens for eye exams (see Figure 3) to measure refractive power change [18].Since the 1960s, the Radio Corporation of America (RCA) and later the parent company General Electric (GE), pioneered the use of LCs for designing optical displays such as in watches, avionics, and television systems, and also for designing optical switches [14][15][16].Starting in the mid-1980s, the LC Display (LCD) lab at the General Electric Corporate Research and Development Center (GE-CRD) fabricated novel electronically controlled LC lens devices [17], including for eye correction measurement applications [18,19].Specifically, to the best of our knowledge, Riza, in 1989, first proposed the use of the LC E-Lens for eye exams (see Figure 3) to measure refractive power change [18].
In addition, apart from using an electronic LC lens in a phoropter to get new eyewear refractive readings [18], two dimensional (2-D) optical Spatial Light Modulator (SLM) devices via LC and micromachined or Micro-electromechanical Systems (MEMS) devices plus bias lenses have been proposed in 1995 by Riza, not only for eye refractive power measurements (both positive and negative Diopters), but also for color blindness tests as well as to provide the capability to perform eye strain relief and eye muscle exercises [20,21].Because 2-D SLMs are optically phase programmable devices, astigmatic refractive error measurement in the human eye was proposed in these SLM-based eye vision test systems.In addition, Riza proposed the use of switching to different optical paths in the eye vision system to measure eye refractive power [20,21].In 1998, Riza introduced the design of a fast response digital LC E-lens for numerous 3-D beamforming applications including vision [22][23][24].Adapted from [18].
Independent use of the LC E-Lens for eye exams to measure refractive power change was patented in 1994 (see Figure 4) by Piosenka and Leahy [25] and licensed by E-Vision (same as Pixel-Optics).Interestingly, the same basic idea was patented by E-Vision in 2003 by Blum and Dustin [26].The use of liquid-based lenses using mechanical pressure to change lens focal length has also been proposed for phoropters in a patent by Quaglia in 1995 [27] and later in 2010 by the group of Peyghambarian [28].In 1996, an LC diffractive-optic E-Lens had been designed [29] and in 2006, the Peyghambarian group suggested the use of the LC diffractive-optic E-Lens for eye exams to measure eye refractive power change [30].In 2003, a team from Lawrence Livermore National Lab demonstrated an adaptive optics phoropter where a Shack-Hartmann sensor was used to measure the aberrations of the eye and an LC SLM was used to compensate these eye aberrations [31].
More recently, works have been conducted to improve both LC and liquid device design and performance in phoropter systems.Large 20 mm diameter E-lenses have been designed with LC and electromagnetic force controlled liquid materials with 3 Diopters and ˘25 Diopters powers, respectively [32].A double-layered LC E-lens has been designed that has polarizer-free operations [33].In addition, aberrations in an astigmatic liquid E-lens have been compensated using a Shack-Hartmann adaptive optics system [34].These recent E-lens device technologies and adaptive optic system advances can be incorporated in the proposed eye vision system using micromachines to enable user scenario-dependent optimal performance.also been proposed for phoropters in a patent by Quaglia in 1995 [27] and later in 2010 by the group of Peyghambarian [28].In 1996, an LC diffractive-optic E-Lens had been designed [29] and in 2006, the Peyghambarian group suggested the use of the LC diffractive-optic E-Lens for eye exams to measure eye refractive power change [30].In 2003, a team from Lawrence Livermore National Lab demonstrated an adaptive optics phoropter where a Shack-Hartmann sensor was used to measure the aberrations of the eye and an LC SLM was used to compensate these eye aberrations [31].More recently, works have been conducted to improve both LC and liquid device design and performance in phoropter systems.Large 20 mm diameter E-lenses have been designed with LC and electromagnetic force controlled liquid materials with 3 Diopters and ±25 Diopters powers, respectively [32].A double-layered LC E-lens has been designed that has polarizer-free operations [33].In addition, aberrations in an astigmatic liquid E-lens have been compensated using a Shack-Hartmann adaptive optics system [34].These recent E-lens device technologies and adaptive optic system advances can be incorporated in the proposed eye vision system using micromachines to enable user scenario-dependent optimal performance.

Proposed Eye Vision System using Micromachines
Today micromachine-based microelectronic, micromechanic, and micro-optic device technologies have evolved to a very high degree, providing energy efficient, compact and lightweight sub-systems.In particular, Radio Frequency (RF) wireless control is commonplace for many handheld systems and highly reliable liquid-based Electronically Controlled Variable Focus Lens (ECVFL) (also called an E-lens) micro-optic devices have entered the commercial arena, for purposes such as using

Proposed Eye Vision System using Micromachines
Today micromachine-based microelectronic, micromechanic, and micro-optic device technologies have evolved to a very high degree, providing energy efficient, compact and lightweight sub-systems.In particular, Radio Frequency (RF) wireless control is commonplace for many handheld systems and highly reliable liquid-based Electronically Controlled Variable Focus Lens (ECVFL) (also called an E-lens) micro-optic devices have entered the commercial arena, for purposes such as using electro-wetting technology and electromagnetic actuation of elastic polymer membranes [35,36].In addition, MEMS devices including optical MEMS devices have reached commercial maturity, including applications in fiber-optical Internet and inertial guidance applications [37].Hence, what is proposed next is a basic design of a human eye vision test system that combines the use of advanced micro-optic, micromechanic, and microelectronic technologies to deliver a portable, lightweight system that can measure eye refractive powers, conduct color-blindness tests, and also implement eye strain relief and eye muscle exercises via time sequenced imaging.
Shown in Figure 5a is the basic design of the proposed eye vision test system using micromachines.The test system eyewear per eye includes an ECVFL (E-lens), a bias lens (BL), and novel frontend smart optics module.The dioptric power of the BL depends on the refractive power performance of the E-lens, as well as the refractive power testing range desired for the eye test system.The smart optics module shown in Figure 5b can include an aperture control device, color control device, optical throughput/attenuation control device, polarization control device, and energy-harvesting device.The use or physical deployment of these smart devices depends on the level of eye test features required for the test system scenario.The smart optical devices can be stackable, ultra-thin, electrically controlled optical cells that are fabricated using a variety of LC materials (e.g., polymer dispersed LCs to form the attenuation control device), ultra-thin glass substrates, and thin polarization optics.Multiple functionalities for light control can be within a single ultra-thin device.These devices can also be fabricated using other technologies such as liquids, silicon MEMS, and liquid MEMS.When electronically controlled for desired best vision, e.g., 20/20 setting, the described test eyewear combines with the eye's internal refractive optic (Eye Lens and Cornea) to project a clear image on the retina while optimizing operations of all devices in the light path from test scene on screen to the eye retina.RF/optical wireless communication between the test eyewear and the Personal Computer (PC) controls the smart optics, as well as the ECVFL focal length settings.The eyewear is also equipped with energy harvesting and storage devices to enable wireless remote energy transfer to power components such as the ECVFL.The Pico Projector, which can use a micro MEMS chip (e.g., TI Digital Light Processing chip), a micro LC chip (e.g., Liquid Crystal on Silicon (LCoS)), or a laser scanner, displays the examination content on a screen.One can envision mounting a micro sized projector as part of the eyewear.The projector is connected to the PC, which communicates with the eyewear optics via wireless communication.Depending on eye examination requirements and prior patient information, the projected display can either be static images/text, video, or a hybrid data set to initiate appropriate patient response.Depending on patient feedback, the smart optics are adjusted via PC control according to pre-set instructions.The visual data sets are synchronized with both smart optics control and patient feedback such that the test system automatically converges to the eye's inherent refractive error accurately, enabling allocation of correct subscription eyeglasses.This means the proposed system does not necessarily need technically trained opticians to oversee eyesight diagnosis.Note that the PC can be replaced by modern-day handheld devices such as smartphones Modern ECVFLs come in different sizes with specific power requirements and are based on different technologies including electrowetting [35], LCs [24,30], deformable mirror membrane [38], and others.For example, Optotune's EL-6-18 device [36] utilizes optical fluids and a polymer membrane to achieve variable focus action in less than 2 ms with a power consumption ranging between 0 to 350 mW depending on driver current, which is governed by desired focal length requirements.For the proposed system using this particular Optotune ECVFL model, ECVFL operational power needs to be supplied from micro-electronic components mounted on the proposed eyewear.One option to provide this power is via a micro-sized battery, possibly via a rechargeable photocell.The photocell can be designed to be sensitive to a particular wavelength band depending on the lighting environment for the vision test system.Various wireless power transfer techniques are gaining popularity and can serve as a viable option.Magnetic coupling technology [39][40][41] is able to wirelessly transfer up to 60 W over a 2 m range, though the size of the receiver would need to be customized for the proposed eyewear application with its low power requirements.Solar cells for energy harvesting applications as well as micro-sized rechargeable batteries [42][43][44] can prove to be a relatively inexpensive option in the long run.Once power is supplied, communication via a wireless link needs to be established to convey information necessary for the programmable micro-optics.This communication link can either be RF Wi-Fi or via recently proposed optical energy efficient wireless indoor links [45][46][47] with an appropriate interface to the programmable optics.In addition, the wireless optical link can also naturally be used for remote energy transfer such as via the spatially controlled light from the eye safe LED or laser source.In summary, for a complete functioning system, the various components on the proposed eyewear and their interconnections need to be designed and optimized to keep the overall dimensions of the eyewear to a minimum weight and size while delivering the required performance for the eye vision system.
The Pico Projector, which can use a micro MEMS chip (e.g., TI Digital Light Processing chip), a micro LC chip (e.g., Liquid Crystal on Silicon (LCoS)), or a laser scanner, displays the examination content on a screen.One can envision mounting a micro sized projector as part of the eyewear.The projector is connected to the PC, which communicates with the eyewear optics via wireless communication.Depending on eye examination requirements and prior patient information, the projected display can either be static images/text, video, or a hybrid data set to initiate appropriate patient response.Depending on patient feedback, the smart optics are adjusted via PC control according to pre-set instructions.The visual data sets are synchronized with both smart optics control and patient feedback such that the test system automatically converges to the eye's inherent refractive error accurately, enabling allocation of correct subscription eyeglasses.This means the proposed system does not necessarily need technically trained opticians to oversee eyesight diagnosis.Note that the PC can be replaced by modern-day handheld devices such as smartphones or tablets.Decreasing price of wireless technology and its wider availability means that this simple to use system is likely suitable for deployment in medical centers and shops for self-testing.The ease and speed of use to provide vision test measurements will enhance usage with children, a key motivation for the proposed Figure 5 system.
The Figure 5 eye test system can operate in three different modes to measure the needed eye refractive power and to achieve non-blurred clear vision of the test target.The first mode is the classical refractive error measurement method similar to a mechanical phoropter where except for mechanically changing fixed power lenses in the eye vision path, an E-lens without macro-mechanical motion creates lenses of different powers at the eye spectacle positions to determine when the patient feels that he/she has seen the best non-blurred image of the test target such as a 20/20 vision standard when seeing line 8 in the chart.Figure 6 shows a typical standard eye vision Snellen chart [48] that is used today in phoropter systems where this eye chart is viewed by a patient from a distance of 20 ft (or 10 ft when using a mirror in the vision path).Based on the smallest text on a line that the patient is able to read, a quantification of the patient's near sightedness is determined for both the patient's uncorrected eye and the E-lens refraction corrected eye.The E-lens is driven by an electrical control signal (e.g., current) that is calibrated to spherical lens power values.Thus by noting the current of the E-lens that gives the best non-blurred vision to the patient, the patient's corrective lens prescription is determined directly in Diopters (D) with a standard 0.25 D step size.Here it is assumed that apertures of devices used are much larger than the natural aperture of the open pupil in the eye so that the pupil functions as the limiting aperture for the eye test vision system.Aperture is large so points 1 and 2 create physically inseparable optical spots on the retina; (b) Aperture is smaller so points 1 and 2 create physically separable and smaller optical spots on the retina enabling clear vision of the two points test target.Note that these spots are not of the smallest size that would be observed by the retina if the eye lens did not have myopia (see Figure 8).
Because human eyes have certain limiting characteristics designed by biology, such as retinal cell resolution and eye cavity length between eye lens and retina, there are limits to how powerful an approach can be in dioptric numbers for eye vision testing using aperture control.A basic analysis to determine this limit can be conducted as follows [1,2].A normal eye lens of focal length FN focuses a far field object onto a point image on the retina giving the highest detectable spatial resolution for the observed image.This is shown in Figure 8a where the aperture diameter is Da and the distance between the lens and the retina is ds.It can be seen for Figure 8a that: The second mode of operation proposed for the Figure 5 eye vision test system is based on controlled optical aperture control.In this mode, the E-lens and BL are removed from the system, leaving only the aperture-controlled device in the smart frontend optics.In effect, an extremely simple and cost effective eye vision system is formed that relies on the operation of a single micromechanical aperture device.Figure 7 shows the basic principle of aperture-controlled myopic eye vision testing explained using a variable aperture in front of the eye, and imaging of two points labeled as point 1 and point 2 in the far-field test target.As shown in Figure 7a, as the eye is myopic with a certain given myopic refractive power, light rays from points 1 and 2 focus along a slightly curved contour that is before the retina (shown as a flat screen).Thus, one larger spot is formed at the retina location as these two imaged spots partly overlap in space.In effect, the two spatially separated spots in the viewed test image appear as one blurred large spot; hence the patient under eye test is unable to see a clear focused image on his/her eye retina of two spatially independent spots.In Figure 7b, the aperture in front of the eye is made smaller to the extent that now the two spots appearing at the retina are smaller in size and appear separated from each other on the retina, thus creating an image of points 1 and 2 in the viewed test image that is now seen and considered a non-blurred image.In effect, the simple act of squeezing the optical aperture size at the entrance of the eye creates the ability for a myopic eye to see (or focus on) objects that otherwise would appear too small to see with clear vision.This simple act has been naturally known to human eyes for perhaps thousands of years and often people squint their eyes when trying to focus on small distant objects.In the Figure 5 proposed eye vision system, the power of aperture-controlled clearer vision is harnessed using a micromachine electronically controlled variable aperture device that is calibrated to provide equivalent corrective dioptric powers for a near-sighted eye.For a human eye to clearly view a test letter in a black and white eye chart, the eye should be able to resolve two black dots with a white dot in between the two black dots.For example, the letter "U" can be considered made up of two parallel black vertical lines separated by a white space.Points 1 and 2 in Figure 7 can be considered representing the vertical black line widths in the letter "U" while the white gap (dot) between points 1 and 2 in the target space can be considered as an additional invisible/white dot in a line of three dots in the target space.
To see the letter "U", the retina should be able to spatially resolve all three dots (two black ones and one white one between the two black dots).Aperture is large so points 1 and 2 create physically inseparable optical spots on the retina; (b) Aperture is smaller so points 1 and 2 create physically separable and smaller optical spots on the retina enabling clear vision of the two points test target.Note that these spots are not of the smallest size that would be observed by the retina if the eye lens did not have myopia (see Figure 8).
Because human eyes have certain limiting characteristics designed by biology, such as retinal cell resolution and eye cavity length between eye lens and retina, there are limits to how powerful an approach can be in dioptric numbers for eye vision testing using aperture control.A basic analysis to determine this limit can be conducted as follows [1,2].A normal eye lens of focal length FN focuses a far field object onto a point image on the retina giving the highest detectable spatial resolution for the observed image.This is shown in Figure 8a where the aperture diameter is Da and the distance between the lens and the retina is ds.It can be seen for Figure 8a that: Figure 7. Principle of aperture-controlled eye vision testing explained via geometrical optics, a myopic eye, a variable aperture in front of the eye and imaging of two points in the test target.(a) Aperture is large so points 1 and 2 create physically inseparable optical spots on the retina; (b) Aperture is smaller so points 1 and 2 create physically separable and smaller optical spots on the retina enabling clear vision of the two points test target.Note that these spots are not of the smallest size that would be observed by the retina if the eye lens did not have myopia (see Figure 8).
Because human eyes have certain limiting characteristics designed by biology, such as retinal cell resolution and eye cavity length between eye lens and retina, there are limits to how powerful an approach can be in dioptric numbers for eye vision testing using aperture control.A basic analysis to determine this limit can be conducted as follows [1,2].A normal eye lens of focal length F N focuses a far field object onto a point image on the retina giving the highest detectable spatial resolution for the observed image.This is shown in Figure 8a where the aperture diameter is D a and the distance between the lens and the retina is d s .It can be seen for Figure 8a that: If the normal eye lens is replaced by an abnormal (i.e., myopic) eye lens of focal length F AB , where F AB < F N , the far field object focuses as a point located at a distance ∆L from the retina as shown in Figure 8b.As a result, a blur spot of diameter d b forms on the retina.From Figure 8b, it can be seen that: Since d s = F N , Equation ( 2) is written as: Using geometry, d b , ∆L, F AB and D a are related by: Equation ( 4) is rearranged to give:  In Figure 9, in order for the retina to be able to resolve the two object points 1 and 2, db must be less than or equal to L12.That is: Combining Equations ( 7) and (12) gives: In order to resolve two object points in the test target used in the proposed aperture control-based eye vision test system, Equation (13) shows that the aperture diameter must be less than some threshold value.Like any optical imaging system with a variable aperture such as in the proposed eye test system, diffraction affects the spatial resolving power of the system based on specific system parameters.Specifically, the diameter Ddiff of the airy disk (smallest diffraction spot) formed on the retina due to the proposed eye vision testing system is given by: where λ is the wavelength of light, F is the focal length of the eye lens system and Da is the diameter of the variable aperture.Using typical values of F = 55 Diopters, λ = 550 nm (center of visible band), and a minimal Da of 0.2 mm deployed in the eye test system, one gets Ddiff of 122 μm.Given that the eye under test is not expected to spatially resolve test images with features as small as 122 μm in diameter, the effect of optical diffraction can be considered negligible.With regards to visual acuity that is a measure of the degree to clearly observe images using the proposed eye test system, a number of factors come into play such as the scene object size and lighting conditions as well as aberrations in the optical system, which interestingly reduce for smaller optical apertures [1].The expression for ∆L from Equation ( 3) is substituted in Equation ( 4), giving: Let the optical power in Diopters (1/m) of a normal lens be D N = 1/F N and let the optical power of an abnormal lens be D AB = 1/F AB .Therefore, Equation ( 6) can be expressed in terms of dioptric powers as: Equation ( 7) relates the aperture diameter D a with the optical powers of both the normal and abnormal eyes.The next step is to find an expression for d b .To do this, refer to Figure 9 which shows two point objects, separated by H 12 , being imaged by an eye lens located a distance d t from the objects, and forming their respective image blur spots on the retina.A ray from each object point passes through the center of the eye lens before striking the retina.The angle between the two rays (one from each object point as shown in Figure 9 is α, and the distance between the centers of the two blur spots formed on the retina is L 12 .The diameter of each blur spot is d b .From trigonometry, α is written as: Also from trigonometry, L 12 can be written as: Since d s = F N from Equation (1), Equation ( 9) can be written as: In Figure 9, in order for the retina to be able to resolve the two object points 1 and 2, d b must be less than or equal to L 12 .That is: Combining Equations ( 7) and (12) gives:  In Figure 9, in order for the retina to be able to resolve the two object points 1 and 2, db must be less than or equal to L12.That is: Combining Equations ( 7) and ( 12) gives: In order to resolve two object points in the test target used in the proposed aperture control-based eye vision test system, Equation (13) shows that the aperture diameter must be less than some threshold value.Like any optical imaging system with a variable aperture such as in the proposed eye test system, diffraction affects the spatial resolving power of the system based on specific system parameters.Specifically, the diameter Ddiff of the airy disk (smallest diffraction spot) formed on the retina due to the proposed eye vision testing system is given by: where λ is the wavelength of light, F is the focal length of the eye lens system and Da is the diameter of the variable aperture.Using typical values of F = 55 Diopters, λ = 550 nm (center of visible band), and a minimal Da of 0.2 mm deployed in the eye test system, one gets Ddiff of 122 μm.Given that the eye under test is not expected to spatially resolve test images with features as small as 122 μm in diameter, the effect of optical diffraction can be considered negligible.With regards to visual acuity that is a measure of the degree to clearly observe images using the proposed eye test system, a number of factors come into play such as the scene object size and lighting conditions as well as aberrations in the optical system, which interestingly reduce for smaller optical apertures [1].Indeed, the high resolution imaging performance of the proposed aperture control eye vision test method and corresponding eyewear is somewhat limited when compared to classic In order to resolve two object points in the test target used in the proposed aperture control-based eye vision test system, Equation (13) shows that the aperture diameter must be less than some threshold value.Like any optical imaging system with a variable aperture such as in the proposed eye test system, diffraction affects the spatial resolving power of the system based on specific system parameters.Specifically, the diameter D di f f of the airy disk (smallest diffraction spot) formed on the retina due to the proposed eye vision testing system is given by: where λ is the wavelength of light, F is the focal length of the eye lens system and D a is the diameter of the variable aperture.Using typical values of F = 55 Diopters, λ = 550 nm (center of visible band), and a minimal D a of 0.2 mm deployed in the eye test system, one gets D di f f of 122 µm.Given that the eye under test is not expected to spatially resolve test images with features as small as 122 µm in diameter, the effect of optical diffraction can be considered negligible.With regards to visual acuity that is a measure of the degree to clearly observe images using the proposed eye test system, a number of factors come into play such as the scene object size and lighting conditions as well as aberrations in the optical system, which interestingly reduce for smaller optical apertures [1].Indeed, the high resolution imaging performance of the proposed aperture control eye vision test method and corresponding eyewear is somewhat limited when compared to classic prescription-lens based hardware where large aperture custom lens design eyewear is engaged.This concludes the description for the second mode of operation proposed for the Figure 5 eye vision test system.The third mode of the proposed eye vision test system is a hybrid mode that engages both the E-lens first mode and the aperture-controlled second mode of the system.For example, to measure eye refractive errors up to two Diopters, mode 2 is deployed and for higher refractive power measurements, the E-lens system first mode is activated.So for weaker refractive power corrections, the E-lens is not engaged.This can be a benefit when using today's E-lens technologies since generation and stability of weak E-lensing can be considered electronically harder than operating E-lenses for higher refractive powers.Finally, the choice of operations mode used for the proposed eye vision test system will depend on many parameters including the patient testing scenario as well the economics of the local eye testing site.
The second operations mode of the eye test system also empowers a new type of myopic eye corrective eyewear whose design using multiple apertures and principles of operation is shown in Figure 10.The diameter D m of the circular aperture holes in the eyewear is dictated by the corrective refractive power needed by the myopic patient to get clear (e.g., 20/20) vision.The eye vision test conducted with the patient will give the needed prescription for the eyewear aperture diameter.As a single aperture in eyewear restricts the visual field of view (FOV) to a narrow field, multiple apertures are added in 2-D space in the eyewear to increase the overall eye FOV.The spacing between the clear apertures denoted d x in the horizontal plane and d y in the vertical plane, is determined by the desired patient viewing maximum target distance to prevent FOV overlap, which would cause overlap of viewed images per aperture (Figure 10b).Note that when wearing such proposed low cost eyewear, the user may need to roll his/her eyes left to right and up and down to fill in all images to construct wide FOV imaging.Another aspect when using such eyewear is the need for adequate lighting.This is because compared to traditional eyewear; the proposed aperture eyewear involves a decreased aperture diameter, which reduces the amount of light entering the eye.The rationale behind using the eyewear in optimal light conditions is to ensure that the reduced light levels entering the eye do not handicap the user in any way.For scenes in low lighting conditions, aperture control can deteriorate vision by affecting scene brightness levels.Therefore, it is recommended to use the proposed aperture eyewear in well-lit regions to ensure that its use won't significantly degrade the quality of vision.For instance, bright electronic displays or high sunlight areas would provide good lighting levels for operations of this low cost eyewear.Therefore, deployment in Sun rich Asian and African countries would be suitable for the proposed eyewear.
11 generation and stability of weak E-lensing can be considered electronically harder than operating E-lenses for higher refractive powers.Finally, the choice of operations mode used for the proposed eye vision test system will depend on many parameters including the patient testing scenario as well the economics of the local eye testing site.
The second operations mode of the eye test system also empowers a new type of myopic eye corrective eyewear whose design using multiple apertures and principles of operation is shown in Figure 10.The diameter Dm of the circular aperture holes in the eyewear is dictated by the corrective refractive power needed by the myopic patient to get clear (e.g., 20/20) vision.The eye vision test conducted with the patient will give the needed prescription for the eyewear aperture diameter.As a single aperture in eyewear restricts the visual field of view (FOV) to a narrow field, multiple apertures are added in 2-D space in the eyewear to increase the overall eye FOV.The spacing between the clear apertures denoted dx in the horizontal plane and dy in the vertical plane, is determined by the desired patient viewing maximum target distance to prevent FOV overlap, which would cause overlap of viewed images per aperture (Figure 10b).Note that when wearing such proposed low cost eyewear, the user may need to roll his/her eyes left to right and up and down to fill in all images to construct wide FOV imaging.Another aspect when using such eyewear is the need for adequate lighting.This is because compared to traditional eyewear; the proposed aperture eyewear involves a decreased aperture diameter, which reduces the amount of light entering the eye.The rationale behind using the eyewear in optimal light conditions is to ensure that the reduced light levels entering the eye do not handicap the user in any way.For scenes in low lighting conditions, aperture control can deteriorate vision by affecting scene brightness levels.Therefore, it is recommended to use the proposed aperture eyewear in well-lit regions to ensure that its use won't significantly degrade the quality of vision.For instance, bright electronic displays or high sunlight areas would provide good lighting levels for operations of this low cost eyewear.Therefore, deployment in Sun rich Asian and African countries would be suitable for the proposed eyewear.

Experimental Demonstration
To demonstrate the potential eyesight testing capability of the proposed vision test system, the experimental design shown in Figure 11 is implemented in the laboratory.Note that this

Experimental Demonstration
To demonstrate the potential eyesight testing capability of the proposed vision test system, the experimental design shown in Figure 11 is implemented in the laboratory.Note that this proof-of-concept experiment demonstrates spherical refractive error correction only.Optotune ECVFL devices are used to simulate a human eye of different myopic powers viewing a test image through another ECVFL device that simulates a patient's eyewear.A complementary metal oxide semiconductor (CMOS) chip sensor is placed at a distance equivalent to d s from the eye lens system comprising of a pair of 20 D lenses and an ECVFL labeled as ECVFL 1.The deployed CMOS sensor model number is IDS UI-1250LE-M-GL having a 5.3 µm pixel size.In comparison, the diameter of a single cone cell in the fovea of the human eye is on average between 1 to 4 µm [2].Therefore, the deployed CMOS pixel size is in close proximity to that of the human eye.However, it must be noted that unlike the CMOS sensor, the human eye's optical sensing resolution depends on various factors including angle of viewing, lighting conditions, and viewing distances.The ECVFL 1 is used to control the power of the myopic eye during the experiment, thereby simulating an eye having varying degrees of refractive error.A mechanically variable aperture of diameter D a is located a distance d a from the eye lens system.Another ECVFL, labeled as ECVFL 2, is placed a distance d e2 from the aperture.The ECVFL 2 represents the corrective lens needed to restore blurred vision.A standard Snellen chart is used as a vision test target, d s is 14.2 mm, d a is 9.5 mm, d e2 is 11 mm and d t is 100 cm.The ECVFL 1 model deployed in the experiment is Optotune's EL-10-30 having a focal length F e1 , while Optotune's EL-6-18 is used as ECVFL 2 having focal length F e2 .SM1D12C Iris Diaphragm from Thorlabs (Newton, NJ, USA) is deployed as the mechanically controlled aperture, with all D a values measured using Aerospace Vernier calipers.The height of the largest letter "E" on a Snellen chart placed 6 m away is 87.5 mm [48].Therefore, for the 1 m target distance as used in the experiment, the deployed Snellen chart is scaled to have its largest "E" to be 87.5/6mm = 14.6 mm in height.Figure 12 shows a top view of the laboratory experimental setup.Figure 13 shows images of the 1 cm diameter model EL-10-30 ECVFL 1 and the 6 mm diameter model EL-6-18 ECVFL 2 used to introduce eye refractive error and dioptric power correction, respectively.
12 including angle of viewing, lighting conditions, and viewing distances.The ECVFL 1 is used to control the power of the myopic eye during the experiment, thereby simulating an eye having varying degrees of refractive error.A mechanically variable aperture of diameter Da is located a distance da from the eye lens system.Another ECVFL, labeled as ECVFL 2, is placed a distance de2 from the aperture.The ECVFL 2 represents the corrective lens needed to restore blurred vision.A standard Snellen chart is used as a vision test target, ds is 14.2 mm, da is 9.5 mm, de2 is 11 mm and dt is 100 cm.The ECVFL 1 model deployed in the experiment is Optotune's EL-10-30 having a focal length Fe1, while Optotune's EL-6-18 is used as ECVFL 2 having focal length Fe2.SM1D12C Iris Diaphragm from Thorlabs (Newton, NJ, USA) is deployed as the mechanically controlled aperture, with all Da values measured using Aerospace Vernier calipers.The height of the largest letter "E" on a Snellen chart placed 6 m away is 87.5 mm [48].Therefore, for the 1 m target distance as used in the experiment, the deployed Snellen chart is scaled to have its largest "E" to be 87.5/6mm = 14.6 mm in height.Figure 12 shows a top view of the laboratory experimental setup.Figure 13 shows images of the 1 cm diameter model EL-10-30 ECVFL 1 and the 6 mm diameter model EL-6-18 ECVFL 2 used to introduce eye refractive error and dioptric power correction, respectively.12 that unlike the CMOS sensor, the human eye's optical sensing resolution depends on various factors including angle of viewing, lighting conditions, and viewing distances.The ECVFL 1 is used to control the power of the myopic eye during the experiment, thereby simulating an eye having varying degrees of refractive error.A mechanically variable aperture of diameter Da is located a distance da from the eye lens system.Another ECVFL, labeled as ECVFL 2, is placed a distance de2 from the aperture.The ECVFL 2 represents the corrective lens needed to restore blurred vision.A standard Snellen chart is used as a vision test target, ds is 14.2 mm, da is 9.5 mm, de2 is 11 mm and dt is 100 cm.The ECVFL 1 model deployed in the experiment is Optotune's EL-10-30 having a focal length Fe1, while Optotune's EL-6-18 is used as ECVFL 2 having focal length Fe2.SM1D12C Iris Diaphragm from Thorlabs (Newton, NJ, USA) is deployed as the mechanically controlled aperture, with all Da values measured using Aerospace Vernier calipers.The height of the largest letter "E" on a Snellen chart placed 6 m away is 87.5 mm [48].Therefore, for the 1 m target distance as used in the experiment, the deployed Snellen chart is scaled to have its largest "E" to be 87.5/6mm = 14.6 mm in height.Figure 12 shows a top view of the laboratory experimental setup.Figure 13 shows images of the 1 cm diameter model EL-10-30 ECVFL 1 and the 6 mm diameter model EL-6-18 ECVFL 2 used to introduce eye refractive error and dioptric power correction, respectively.To demonstrate the first mode of operations of the proposed Figure 5 eye vision test system that implements eye refractive error correction via ECVFL 2, D a is fixed to an average human pupil diameter of 5 mm with F e1 initially set to 15 D resulting in a total eye lens system power of 55 D. This results in a clear image of the Snellen chart acquired by the CMOS sensor with the image recorded and viewed via the connected laptop, with F e2 set to 0 D (infinite focal length).The first step in the experiment is to acquire F e1 values corresponding to varying degrees of myopia.Note that since myopia (nearsightedness) [49] is measured by the optical power (in negative Diopters) of the corrective lens (in this case ECVFL 2) which helps focus the image on the retina, F e2 is first varied via ECVFL 2 current control from 0.00 to ´5.00 D in 0.25 D steps signifying the different degrees of myopia.For each F e2 setting, F e1 is altered to restore the clear image of the Snellen chart.A clear image is defined in the experiment as an image in which the letters on the 20/20 line of the Snellen chart are resolvable by the experimenter viewing the laptop display that provides the CMOS sensor generated image.These acquired F e1 values represent the optical power of the myopic eye for which the different degrees of myopia are given by F e2 values.As an example, a person with ´1.0 D myopia requires spectacles with a prescription of ´1.0 D (i.e., a corrective lens of focal length F e2 ), but it does not necessarily mean that the eye lens system has a refractive error of ´1.0 D. Once all F e1 values are noted for varying degrees of myopia, F e2 is set to give 0.0 D and F e1 is altered electronically to induce a refractive error in the eye, simulating a patient's eye with varying degrees of known myopia.Depending on the induced refractive error, subsequent control of ECVFL 2, which represents part of the programmable vision test eyewear, allows correction of the induced error.The CMOS chip sensor snapshots are captured for each 0.25 D step of myopia.These images show what the myopic eye would see for different degrees of refractive error.Figure 14 shows such images for refractive errors of ´0.50 D, ´2.00 D, and ´3.0 D error values along with ECVFL 2 corrected images.The list of induced myopic refractive errors via F e1 and corresponding F e2 values along with respective ECVFL current settings are summarized in Table 1.
Note that ECVFL 2 is equally capable of going into the positive range of powers (above 0.0 Diopters) by increasing the current supplied to it above 65.6 mA.These positive ECVFL 2 dioptric powers would be useful in testing far-sightedness/hyperopia and presbyopia in patients.Although, positive range of powers wasn't considered for this proof of concept experiment because hyperopia and related vision problems do not normally occur among younger patients, it is fully realizable using the proposed Figure 5 system.The demonstrated resolution of 0.25 D can also be enhanced using smaller ECVFL drive current steps that will in-turn give smaller focal length change.With optimized ECVFL technologies suited for the desired range of focal lengths, the patient's eyes can be diagnosed with greater accuracy.In conjunction with the smart optics described in the previous section, the proposed eyewear system has potential in taking the eyesight diagnosis process to the next level of vision systems impacting human health.
Next, demonstrated is the second mode of operations of the proposed Figure 5 eye vision test system comprising eye refractive error correction via aperture control.For this experiment, ECVFL 2 is removed from the vision path because easy access is obtained to vary and measure the aperture setting without ECVFL 2. Also, ECVFL 2 is not needed for this part of the experiment.The ECVFL 1 is set to current values corresponding to varying degree of myopia shown in Table 1 and the aperture diameter D a is reduced until the 20/20 line on the Snellen chart on the CMOS sensor acquired image seen on the computer is just readable by the experimenter.Two experimenters called Subject A and Subject B are chosen to carry out the decision making process on whether the 20/20 line is readable on decreasing D a values.Sample CMOS chip acquired images for induced refractive error values of ´0.50 D and ´2.00 D along with respective aperture control vision corrected images are shown in Figure 15.Table 2 summarizes the acquired D a data for both experimenters for a simulated eye refractive error range of 0.00 D to ´2.00 D. Refractive errors worse than ´2.00 D can also be corrected to some degree but are not considered here because the aperture diameters were too small to measure using the Vernier caliper used in the experiment.
The experimental D a data in Table 2 for both Subject A and Subject B is compared to the theoretically derived Equation ( 13) D a curve for refractive error of up to ´2.00 D. This theoretical curve is given by Equation ( 13) in which F N = 55 D and F AB is varied from 55 to 57 D to estimate the 0.00 D to ´2.00 D range of myopia.For Equation ( 13), α is found using Equation ( 8) where d t is 1 m.To find H 12 , first the height of the letters on the 20/20 line of the target Snellen chart is found which is 10 times smaller than the height of the largest "E" on the 20/200 line, i.e., (height of letters on 20/20 line) = (height of letters on 20/200 line)/10 = 14.6/10 mm = 1.46 mm.In order to read these letters, one needs to resolve the highest spatial frequency variation in these letters.This is given by the second letter "E" on the 20/20 line, which has the top arm followed by a white space, which is then followed by the middle arm as the highest spatial frequency variation on this line.Hence H 12 is given by the distance covered by these three dots (two black and one white), so H 12 = height of letters on 20/20 line ˆfraction of this height covered by three dots = 1.46 ˆ(3/5) mm « 0.88 mm.Using this H 12 , α is calculated using Equation ( 8) to be 0.05 Rad.Using this α value, the Equation ( 13) D a is plotted and shown in Figure 16 as a coarse dashed curve with plus symbols, along with experimental data from Subject A (solid curve with dot symbols) and Subject B (fine-dashed curve with circular symbols).The difference in the experimental data acquired via Subject A and Subject B is due to the subjective nature of the readability of the 20/20 line and is a common data representation in human vision experimental studies [50].A pattern different from the letters deployed in a standard vision test chart may be used to discern the degree of clarity of a target.2 summarizes the acquired Da data for both experimenters for a simulated eye refractive error range of 0.00 D to −2.00 D. Refractive errors worse than −2.00 D can also be corrected to some degree but are not considered here because the aperture diameters were too small to measure using the Vernier caliper used in the experiment.given aperture diameter, one must take into account the aperture separation parameters dx and dy in both the transverse (x-y) directions for a given maximum viewing distance dmax.An experimental test of the proposed Figure 10 eyewear is also conducted demonstrating the clearer vision using aperture control and the effect of aperture separation on the FOVs seen by the sensor representing the retina.Custom masks having apertures each of diameter D m are constructed from black sheets and placed at the location of ECVFL 2 in the Figure 11 set-up with D a set to 5 mm and ´1.75 D of myopia induced in the eye lens system using ECVFL1.Three masks are designed called mask A, mask B and mask C. Mask A has a single aperture of D m = 1.5 mm, mask B has two apertures of the 1.5 mm diameters with a separation of 3 mm and mask C has two apertures of 1.5 mm diameters that are separated by 6 mm. Figure 17 shows the deployed custom-made eyewear having eye pieces made with mask B (left) and mask C (right).
Figure 18a shows the CMOS sensor chip acquired eye test chart image obtained without any mask present in the deployed test eyewear.Figure 18b shows an image viewed through mask A giving the expected clearer image demonstrating non-blurred image viewing aperture control.Figure 18c shows the CMOS chip acquired image when using mask B. This image shows laterally offset eye charts that results due to the slightly overlapping FOVs that occurs due to the two apertures in mask B with a gap of 3 mm between the two apertures.Finally, Figure 18d is captured using mask C where the apertures are separated by a larger distance of 6 mm resulting in FOVs that are separated and thus result in a clear non-blurred view of the Snellen chart through one of the mask apertures.Therefore, in the design of the proposed eyewear using multiple apertures of a given aperture diameter, one must take into account the aperture separation parameters d x and d y in both the transverse (x-y) directions for a given maximum viewing distance d max .

Conclusions
The proposed system for eye vision testing is a unique design using micromachines based on micro-optics, micromechanics, and micro-electronics.The system design includes RF/optical data communications capability and remote wireless energy harvesting and energy storage as well as smart light conditioning modules for optical attenuation, aperture, and light polarization control.The eye vision test system is particularly suited for rapid eye vision tests for children, given child eye vision characteristics including child behavior and psychology.The proposed eye test system can operate in three different modes including vision testing using variable aperture, and variable lens focus controls.Basic experiments are conducted to demonstrate the operational principles of the proposed novel eye test system.Economical design eyewear based on aperture control is proposed and experimentally demonstrated for myopic eyes.Future work relates to the design and demonstration of the proposed eye vision system for complete refractive error correction, along with its full smart optics and optical and RF wireless capabilities, including energy harvesting and remote energy transfer, capture, and storage.It is expected that such a system can lead to a lightweight, energy efficient, user friendly, economical and reliable instrument for wide spread deployment around the world.

Figure 1 .
Figure 1.Example of a typical commercial phoropter system commonly used today to measure eye refractive errors to determine human eyewear prescriptions [7].

Figure 2 .
Figure 2. Basic design of the 1968 Basil M. Wright proposed for a mechanically controlled variable focal length spectacles based on liquid movement [10].

Figure 1 .
Figure 1.Example of a typical commercial phoropter system commonly used today to measure eye refractive errors to determine human eyewear prescriptions [7].

Figure 1 .
Figure 1.Example of a typical commercial phoropter system commonly used today to measure eye refractive errors to determine human eyewear prescriptions [7].

Figure 2 .
Figure 2. Basic design of the 1968 Basil M. Wright proposed for a mechanically controlled variable focal length spectacles based on liquid movement [10].

Figure 3 .
Figure 3. Basic design of the 1989 Nabeel A. Riza proposed E-lens based human eye vision test system.Adapted from [18].

Figure 2 .
Figure 2. Basic design of the 1968 Basil M. Wright proposed for a mechanically controlled variable focal length spectacles based on liquid movement [10].

igure 2 . 3 .
Basic design of the 1968 Basil M. Wright proposed for a mechanically controlled variable ocal length spectacles based on liquid movement[10].igureBasic design of the 1989 Nabeel A. Riza proposed E-lens based human eye vision test ystem.Adapted from[18].

Figure 3 .
Figure 3. Basic design of the 1989 Nabeel A. Riza proposed E-lens based human eye vision test system.Adapted from[18].

Figure 4 .
Figure 4. Basic design of the 1994 U.S. Patent by Gerald V. Piosenka and Peter J. Leahy that proposed E-lens spectacles based human eye vision test system [25].

Figure 4 .
Figure 4. Basic design of the 1994 U.S. Patent by Gerald V. Piosenka and Peter J. Leahy that proposed E-lens spectacles based human eye vision test system [25].

Figure 5 .
Figure 5. (a) Basic design of the proposed novel eye vision test system using micro-optics, micromechanics, and microelectronics.The system frontend encompasses the smart optics for light conditioning in the context of the specific properties of the human eye being tested.The test system eyewear includes devices that enable wireless communication and control links, energy harvesting, energy storage, and remote energy delivery.BL: bias lens.PC: personal computer.(b) Novel frontend smart optics design which includes an aperture control device, color control device, optical throughput/attenuation control device, polarization control device, and energy harvesting device.

Figure 5 .
Figure 5. (a) Basic design of the proposed novel eye vision test system using micro-optics, micromechanics, and microelectronics.The system frontend encompasses the smart optics for light conditioning in the context of the specific properties of the human eye being tested.The test system eyewear includes devices that enable wireless communication and control links, energy harvesting, energy storage, and remote energy delivery.BL: bias lens.PC: personal computer.(b) Novel frontend smart optics design which includes an aperture control device, color control device, optical throughput/attenuation control device, polarization control device, and energy harvesting device.

Figure 6 .
Figure 6.A standard eye Snellen vision test chart used today in phoropter systems, which quantifies the eye near sighted refractive power levels based on the text line the patient is able to read as a non-blurred clear image.

Figure 7 .
Figure 7. Principle of aperture-controlled eye vision testing explained via geometrical optics, a myopic eye, a variable aperture in front of the eye and imaging of two points in the test target.(a)Aperture is large so points 1 and 2 create physically inseparable optical spots on the retina; (b) Aperture is smaller so points 1 and 2 create physically separable and smaller optical spots on the retina enabling clear vision of the two points test target.Note that these spots are not of the smallest size that would be observed by the retina if the eye lens did not have myopia (see Figure8).

Figure 6 .
Figure 6.A standard eye Snellen vision test chart used today in phoropter systems, which quantifies the eye near sighted refractive power levels based on the text line the patient is able to read as a non-blurred clear image.

Figure 6 .
Figure 6.A standard eye Snellen vision test chart used today in phoropter systems, which quantifies the eye near sighted refractive power levels based on the text line the patient is able to read as a non-blurred clear image.

Figure 7 .
Figure 7. Principle of aperture-controlled eye vision testing explained via geometrical optics, a myopic eye, a variable aperture in front of the eye and imaging of two points in the test target.(a)Aperture is large so points 1 and 2 create physically inseparable optical spots on the retina; (b) Aperture is smaller so points 1 and 2 create physically separable and smaller optical spots on the retina enabling clear vision of the two points test target.Note that these spots are not of the smallest size that would be observed by the retina if the eye lens did not have myopia (see Figure8).

Micromachines 2015, 6 ,Figure 8 .
Figure 8.(a) Optical ray diagrams for an eye lens system having a normal eye lens and (b) optical ray diagrams for an eye lens system having an abnormal eye lens.

Figure 9 .
Figure 9. Optical ray diagram of a single lens system showing rays from two objects striking the retina.

Figure 8 .
Figure 8.(a) Optical ray diagrams for an eye lens system having a normal eye lens and (b) optical ray diagrams for an eye lens system having an abnormal eye lens.

Figure 8 .
Figure 8.(a) Optical ray diagrams for an eye lens system having a normal eye lens and (b) optical ray diagrams for an eye lens system having an abnormal eye lens.

Figure 9 .
Figure 9. Optical ray diagram of a single lens system showing rays from two objects striking the retina.

Figure 9 .
Figure 9. Optical ray diagram of a single lens system showing rays from two objects striking the retina.

Figure 10 .
Figure 10.(a) Design and (b) principle of wide FOV operation of a new type of low cost myopia correction eyewear using aperture control and multiple distributed apertures.

Figure 10 .
Figure 10.(a) Design and (b) principle of wide FOV operation of a new type of low cost myopia correction eyewear using aperture control and multiple distributed apertures.

Figure 11 .
Figure 11.Experimental design of the proposed basic E-lens based eye vision test system assembled in the laboratory using commercially available micromachines.

Figure 12 .
Figure 12.Laboratory experimental setups (top view) used to demonstrate the principles of the proposed eye vision test system using micromachines based on E-lenses and aperture control.

Figure 11 .
Figure 11.Experimental design of the proposed basic E-lens based eye vision test system assembled in the laboratory using commercially available micromachines.

Figure 11 .
Figure 11.Experimental design of the proposed basic E-lens based eye vision test system assembled in the laboratory using commercially available micromachines.

Figure 12 .
Figure 12.Laboratory experimental setups (top view) used to demonstrate the principles of the proposed eye vision test system using micromachines based on E-lenses and aperture control.Figure 12. Laboratory experimental setups (top view) used to demonstrate the principles of the proposed eye vision test system using micromachines based on E-lenses and aperture control.

Figure 12 .
Figure 12.Laboratory experimental setups (top view) used to demonstrate the principles of the proposed eye vision test system using micromachines based on E-lenses and aperture control.Figure 12. Laboratory experimental setups (top view) used to demonstrate the principles of the proposed eye vision test system using micromachines based on E-lenses and aperture control.

Micromachines 2015, 6 ,
page-page 14 is set to current values corresponding to varying degree of myopia shown in Table 1 and the aperture diameter Da is reduced until the 20/20 line on the Snellen chart on the CMOS sensor acquired image seen on the computer is just readable by the experimenter.Two experimenters called Subject A and Subject B are chosen to carry out the decision making process on whether the 20/20 line is readable on decreasing Da values.Sample CMOS chip acquired images for induced refractive error values of −0.50 D and −2.00 D along with respective aperture control vision corrected images are shown in Figure 15.Table

Figure 14 .
Figure 14.Images acquired by CMOS sensor acting as retina for varying degrees of ECVFL 1 induced myopia of (a) ´0.50 D, (b) ´2.00 D, and (c) ´3.00 D, all corrected using ECVFL 2.

Figure 15 .
Figure 15.CMOS sensor acquired images showing induced refractive error values of (a) −0.50 D and (b) −2.00 D, along with respective aperture control vision corrected images.The aperture values for (a) and (b) corrected vision as measured by Subject A are 4.58 mm and 0.75 mm, respectively.

Figure 15 .
Figure 15.CMOS sensor acquired images showing induced refractive error values of (a) ´0.50 D and (b) ´2.00 D, along with respective aperture control vision corrected images.The aperture values for (a) and (b) corrected vision as measured by Subject A are 4.58 mm and 0.75 mm, respectively.

Figure 16 .
Figure 16.Data plot showing vision test system aperture diameter needed to correct for eye refractive error.The theoretical Equation (13) acquired aperture diameter Da is shown as a coarse-dashed line with plus symbols and experimental data for Subject A is shown as a solid line with dot symbols and Subject B as fine-dashed line with circle symbols.

Figure 16 .
Figure 16.Data plot showing vision test system aperture diameter needed to correct for eye refractive error.The theoretical Equation (13) acquired aperture diameter Da is shown as a coarse-dashed line with plus symbols and experimental data for Subject A is shown as a solid line with dot symbols and Subject B as fine-dashed line with circle symbols.

Figure 17 .
Figure 17.Test eyewear comprising of eye-pieces having 1.5 mm diameter apertures separated by 3 mm (left) and 6 mm (right) distances.

Figure 16 .
Figure 16.Data plot showing vision test system aperture diameter needed to correct for eye refractive error.The theoretical Equation (13) acquired aperture diameter Da is shown as a coarse-dashed line with plus symbols and experimental data for Subject A is shown as a solid line with dot symbols and Subject B as fine-dashed line with circle symbols.

Figure 18 .
Figure 18.CMOS chip acquired images for eyewear vision test system having an eye lens refractive error of ´1.75 D with test eyewear having (a) no mask; (b) mask A having a single aperture of diameter 1.5 mm; (c) mask B having two 1.5 mm diameter apertures separated by 3.00 mm creating overlapping FOVs; and (d) mask C having two 1.5 mm diameter apertures separated by 6.00 mm creating non-overlapping FOVs.

Table 1 .
Table shows focus and current settings for both ECVFL 1 and ECVFL 2 for eye refractive error range from 0.00 to ´5.00 D.

Table 1 .
Table shows focus and current settings for both ECVFL 1 and ECVFL 2 for eye refractive error range from 0.00 to −5.00 D.

Table 2 .
Table shows induced myopic refractive errors and corresponding D a values needed to restore corrected vision for Subject A and Subject B.