4.1. Smart Glasses
A device capable of operating the modulated optical state of incident light by changing the voltage, current, light, or heat is known as switchable glass or smart window. The market for smart windows includes architectural and automotive windows, and covers information displays for augmented reality (AR). Thus, smart glasses can be classified as passive (e.g., thermochromic materials) or active glazing (e.g., electrochromics, gasochromic windows, suspended particle devices, and LC-based smart windows). Such devices are often targeted to control sunlight. As a result, heat transfer is reduced and cooling loads decrease.
Polymer dispersed liquid crystal (PDLC) films have potential for application in devices requiring shuttered or modulated light. Since the original discovery of PDLCs [
16], considerable efforts have been made in the enhancement of PDLC performance. For instance, the transparent state (voltage OFF) is achieved by using dual-frequency LCs with the proper concentration of polymer [
16], and a self-powered switchable solar window is assembled by combining a-Si absorbing layer with a PDLC transmission modulator [
17]. Meanwhile, there exist some critical problems, such as relatively high operating voltage (i.e., several tens of volts) and limited light transmission control range, which hinder the application of PDLC devices.
In this section we detail a study performed to investigate the sustainability of a smart glass prototype. The developed prototype is based on micro-patterned liquid crystal Fresnel lenses and three proof-of-concept prototypes were used to demonstrate the characteristics of our device. In spite of high voltage switching between clear and scattering (diffusive) states in the work of other researchers, image distortion state (blurry state) of the proposed smart glass can be switched to a clear state by applying only two volts. This arrangement also demonstrates a clear state (voltage OFF) and fast switching time.
The proposed smart glass prototype was fabricated using micro-patterned liquid crystal Fresnel lenses with randomly chosen focal lengths (see
Figure 6a) [
18]. A liquid crystal layer was sandwiched between two patterned aligning layers (SD-1 by DIC, Japan) and ITO-coated substrates. Commercially available LC compound E7 (Merck) with the birefringence Δ
n = 0.2161 at the wavelength of 656 nm was used to fabricate the cell, which approximately satisfies the half-wave condition for λ = 632.8 nm. Such a design endows LC Fresnel lenses with diffraction efficiency (i.e., the fraction of the incident light diffracted out of the zero order) near 40.5% for non-polarized light.
In order to fabricate the prototype device, a sulfonic azo dye SD-1 (0.5 wt.% in DMF) was spin-coated on ITO-substrates. Upon soft baking at 120 °C for 5 min, the substrates were spaced 1.5 μm apart, and the cell was fabricated. The empty cell was exposed by highly collimated and linearly polarized ultraviolet light (λ = 365 nm, 0.01 W/cm2) until the irradiation dose achieved 5 J/cm2. Then, the cell was rotated 90° within the substrate plane and exposed once again through a photomask, which is the amplitude mask with Fresnel zone patterns and contacts with the empty cell. Each Fresnel zone pattern can be considered a single diffractive lens with many concentric rings with the radius , where k=1,2,3…; λ is the wavelength of the incident light (632.8 nm); and f is the designed focal length. Non-overlapping Fresnel zone patterns with different focal lengths are located at different positions of the photomask. In order to create the alignment directions, a sufficient irradiation dose ( > 5 J/cm2) of UV light must be applied to the cell. In this case, the easy axis of SD-1 molecules in the exposed window areas is rotated to the perpendicular direction of the polarization plane. Upon these manipulations, the LC compound E7 can be injected into the cell by capillary action. The substrates, which are coated by SD-1, must also be post-treated by the photostabilization technique to prevent the photo-alignment layer from being irradiated by the UV light component in daylight. When the liquid crystal is injected between the substrates, the fabrication of smart glass prototype (P-1) is complete.
In order to compare the performance of a circular Fresnel zone pattern array with unitary focal length and randomly located Fresnel zone patterns with different focal lengths, we prepared two other photomasks.
In order to locally control the smart glass, we can use a patterned ITO or thin-film-transistor (TFT). Schematic representation of P-1 is depicted in
Figure 6b. When a chromatic light source irradiates the smart glass, the Fresnel lenses under the zero voltage produce the focusing effect. As a result, the blurry state (lenses ON) is observed (see
Figure 6c). On the other hand, when the saturated voltage (2 V) is applied to the lenses (dashed ring patterns in
Figure 6b), LC molecules are vertically oriented. This means that the light beam travels through the substrates without any change in propagation direction, and a clear state (lenses OFF) is observed (see
Figure 6c). It should be noted that the LC Fresnel lens is the wavelength-dependent diffractive optical element. Such elements have a series of prerequisites: (1) the designed focal length is inversely proportional to the wavelength (
f~λ
−1 for the given pattern); (2) the half-wave condition; and (3) the material dispersion of LC.
The smart glass works as follows. Chromatic light beams are focused to different points with various diffraction efficiencies. Note that the diffraction efficiency for the designed wavelength (632.8 nm) has the highest magnitude among all wavelengths.
Figure 7a shows a photograph of the prototype device with the set of focal lengths under crossed polarizers. A snapshot of LC Fresnel lenses was taken using a polarizing optical microscope (POM), and is shown in
Figure 7b. We note that the directors of LCs are orthogonal for odd and even zones. The boundaries between the adjoining zones are denoted by white lines. Consequently, the incident light beam (λ = 632.8 nm) in any polarization state provides
π optical phase shift when it travels through the LC Fresnel lens. This gives rise to the polarization-independent property of diffractive optical elements.
In order to determine focal lengths of the Fresnel lenses, a He–Ne laser (λ = 632.8 nm) was used. The spot size was focused to a diameter of 3 cm. The diffraction patterns can be seen on the screen, which is placed behind the cell. The distance between the LC cell and the screen is L. The corresponding setup is depicted in
Figure 7c.
Figure 7d depicts several diffraction patterns for L = 5, 10, 20, and 25 cm. The focal points of the corresponding LC Fresnel lenses appear for certain values of L. The behavior of the light propagation can be roughly speculated and visually imagined according to the presented light distributions as shown
Figure 7d. In other words, we observe that the light beam converges to its focal point. The spot size of the focused beam expands after it travels a certain distance from the focal point, and it further spreads out as the propagation distance increases (see
Figure 6b).
The experiment for characterizing the image distortion performance of the LC smart glass was carried out through the image capture for a printed paper, which was placed 20 cm away and behind the smart glass (the printed paper was placed parallel to the smart glass for the normal observation, see
Figure 8a).
When the alternating current (AC) signal (2V) was applied to the smart glass, a clear (voltage ON) state with the transmittance >90% was immediately obtained (see school logo and several Chinese characters in
Figure 8b) from the printed paper. In the absence of the external voltage, the natural light diffusively reflects from the printed paper. Consequently, the image is distorted, giving rise to the blurred image, which is shown in
Figure 8c. Note that a part of the smart glass without LC Fresnel lens remains transparent. Indeed, the low driving voltage as a significant merit of the fabricated prototype, making our proposed LC smart glass highly appropriate for versatile applications in portable and wearable technologies.
Experimental studies for oblique observation through the LC smart glass were carried out by horizontal rotation of the device by angle
θ (
Figure 8d). The captured distorted images for different angles (i.e., 30°, 45°, and 70°) are depicted in
Figure 8e–g, respectively. The proposed LC smart glass shows outstanding performance under normal and oblique observations. By elaborating the design of LC lenses with small focal lengths, e.g., less than 1 cm, the smart glass performance can be noticeably enhanced for privacy protection.
Electrically switchable smart glass based on micro-patterned LC Fresnel lenses with randomly set focal lengths was proposed. A proof-of-concept prototype was implemented and compared with other two fabricated prototypes. The proposed prototype shows excellent performance for both clear (transmittance > 90%) and blurry (image distortion) states under normal and oblique directions of observations. We believe that easy fabrication process, flexible designs for blurry and clear states, and low driving voltage will stimulate research for both privacy protection and versatile portable applications.
4.2. Pancharatnam–Berry Phase Optical Elements
Inherent optical birefringence of LCs enables the modulation of the phase shift of the propagating wave in micrometer-scale films. The Pancharatnam–Berry phase is associated with the optical phase shift, which an electromagnetic wave obtains when it undergoes a continuous sequence of polarization state transformations. Unlike the conventional optical phase elements or amplitude gratings, Pancharatnam devices operate by locally modifying the polarization state of light waves passing through them. Their unique optical properties have been recently utilized in various applications: non-mechanical electro-optic beam steerers, imaging spectro-polarimeters, and polarization-independent LC displays [
19,
20].
The liquid crystal Pancharatnam-Berry lens (PBL) has promising properties of high optical throughput and large uniaxial optical birefringence. Such optical elements can be used in circular polarization dependent devices, for example, communication systems, and virtual and near-eye displays. However, liquid crystalline PBLs have high power consumption and millisecond response times. Several attempts have been made to reduce the response time [
21,
22].
Pancharatnam lenses are fabricated using photo-alignment technology, which is currently promising. According to the discussion provided in
Section 2, this technology involves a photo-alignment azo dye layer, which defines the orientation of the local optic axis of the subsequently assembled half-wave retarder. However, present achievements usually focus on optical elements with a two-domain structure because it is difficult to achieve multi-domain alignment of LCs [
23,
24]. In addition, many FLC modes are unswitchable for the PB phase due to the optical axes sweep in the plane of the cell substrates. Consequently, application of the proper FLC mode for fast-switchable PBLs and the study of continuous domain structure of FLC optical elements is the key step to develop the PB phase optical elements.
Surface-stabilized ferroelectric liquid crystals (SSFLC) and electrically suppressed helix ferroelectric liquid crystals (ESHFLC) can be used to realize switchable two-domain structures, e.g., gratings or Fresnel lens. However, the optical phase shift always exists when we deal with the PBL because the optical axis just sweeps in the plane of the cell substrates. In this section, we review the DHFLC mode for the PBL. A schematic representation of the DHFLC cell is shown in
Figure 9a.
4.2.1. Lens Fabrication
To assemble the lens, a compound with high light transmission in the visible spectrum is essential. An example of such a material is FLC 587 (P. N. Lebedev Physical Institute of Russian Academy of Sciences) [
25]. According to the issues outlined in
Section 2.2, when boundary conditions are asymmetric, the competition between the aligning interactions existing between the cell surfaces and the FLC helix can be avoided. High anchoring energy and stability to mechanical damage of sulphonic azo dye (SD-1) enables the use of this polarization photosensitive alignment layer. While there are various techniques of azodye photo-alignment, photo-reorientation occurs when dye molecules orient themselves perpendicular to the incident light polarization plane.
Figure 9b,c shows a schematic representation of the experimental setup. A thin quarter-wave plate (QWP)/half-wave plate (HWP) LC polymer thin-film PBL was designed when the diffraction efficiency has the maximum value for the wavelength of 450 nm. This can be achieved when the quarter-wave or half-wave conditions are satisfied.
The setup in
Figure 9b includes a linear polarizer, and a HWP followed by the LC polymer thin-film HWP PBL and ITO glass substrate, which is coated by azo dye SD-1 [
26]. Here, the LC polymer HWP Pancharatnam–Berry phase optical element was used as a photo-patterned mask. The recorded pattern of alignment of the optical axis distribution in the PBL resembles an HWP with half of the spatial period in the single-step exposure. This issue provides an opportunity to increase the diffraction angle. The setup depicted in
Figure 9c contains a linear polarizer. The optical axis of the QWP is oriented at 45° with respect to the transmission axis of the linear polarizer, which is followed by the LC polymer thin-film (QWP PBL) and ITO-coated glass substrate with SD-1. Having a 45° offset, the recorded alignment profile is the replica of the inhomogeneous QWP. Thus, we can “copy” the LC polymer thin-film PBL pattern using a QWP in a simple and time-efficient way. Then, the SD-1 substrate was exposed by the laser beam (0.3 W/cm
2, λ = 450 nm) for 90 s to imprint the PBL pattern. After all manipulations, the cell can be assembled with a certain distance between the substrates. Recall that another ITO substrate remains untreated by the alignment layer. This distance must satisfy the half-wave condition for the FLC PBL to achieve the performance of a convex/concave lens. Due to the magnitude of the birefringence of FLC 587, the cell gap can be maintained at its first half-wave condition, i.e., 1.5 μm, and the subsequent half-wave condition ~5 μm.
Figure 9e illustrates that optical axes of FLC molecules will have continuous orientation.
4.2.2. Focal Length
Polarized optical microscopy can be used to verify the alignment quality of the assembled PB lens, operating under the DHFLC mode (see
Figure 10a–d). The images demonstrate high alignment quality and agreement with the theoretically obtained profile of the gradual decrease in grating pitch away from the center with smooth variations of the transmittance level and minimum of defects. The molecules continuously align in the ordered structure.
Optical phase profile of the lens can be obtained from the intensity profile
T(r) = sin
2 [2
α(r)], where
α(r) = k
r2 = π
r2/
fλ and k = 12.34 × 10
6 m
−2. The theoretical value of the focal distance can be calculated from the phase profile
α(r) for the wavelength 630 nm. The corresponding value is 40 cm. The polarization dependence of the PBL was examined by illuminating with a 633 nm laser beam on the circular polarizer. When the laser beam passes through the right-hand circular polarizer, the spot size from the laser beam is reduced as the result of the focusing effect from the lens. The experimental value of the focal distance can be measured by adjusting the spot size to the smallest diameter
D. The measured focal length was 42 cm when
D = 1.3 cm, which is in a good agreement with the theoretical value. Consequently, the
F-number can be calculated as
F = f/D, with a value of 30.1. The ability to reduce the
F-number can be attractive for many imaging and display applications. The schematic representation for lowering the
F-number is depicted in
Figure 9b. When the decreased
F-number is obtained, the fabricated sample can be used as the phase mask for further reduction of the focal length. The “copied” pattern quality and the diffraction efficiency can be dropped after several “copying” processes.
The performance of the PBL illuminated by the right-hand circularly polarized light is shown in
Figure 10e. On the other side, when the right-hand circular polarizer is in front of the lens, the PBL behaves as a concave lens. Therefore, we observe a gradual decrease in the spot intensity between the center and the edges (
Figure 10f). The spots in
Figure 10e,f were observed when the voltage of 10 V was applied to the 1.5-μm-thick DHFLC cell.
4.2.3. Diffraction Efficiency
The diffraction efficiency is a measure of how much optical power is diffracted into a designated direction compared to the power incident onto the diffractive element. The diffraction efficiency can be measured by putting a photo-diode detector into the focal plane.
The imaging performance of the FLC PBL is demonstrated in
Figure 11. The image of the word “NWPU” can be viewed for RHC and LHC polarizers, respectively. The polarizers were placed in front of the PBL to show the zoomed in symbols (
Figure 11a) and zoomed out symbols as shown in
Figure 11b.
4.2.4. Prospective Research
In order to achieve a small focal distance of the lens, more research in the improvement of alignment quality needs to be conducted. The resolution depends on the compound SD-1 and the cell gap. Comparing these two constrained parameters, the resolution with SD-1 can achieve a sub-micron scale, while the resolution of a cell with a 1.5 μm gap will be ~1.5 μm. For the DHFLC mode, this cell gap determines the resolution that can possibly be realized because the helix pitch must be much smaller than the gap between the substrates. Thus, the finest focal distance will be determined by the thinnest size of the outside fringe of the PBL, which must be larger than the cell gap.
A fast response time (~300 μs under the voltage of 4 V/μm) of the discussed DHFLC PB lenses provides the opportunity to use such devices for applications in light beam manipulations, and imaging and display technologies.
4.2.5. 2D/3D Switchable Display
Most studies of three-dimensional (3D) displays have been primarily reported for stereoscopic and autostereoscopic techniques, as well as incorporating a set of discrete multiviews of 3D scenes [
28,
29]. Recently, stereoscopic displays based on shutter glasses, polarization rotation systems, etc. were commercialized [
30]. However, such systems are bulky and limited to the individual audience. As the result, the demand for the development of autostereoscopic 3D displays has increased [
31]. In this situation it is natural to develop a lens that can be quickly switched between 3D to 2D visualizations. Such a lens will provided the opportunity to display 2D and 3D contents simultaneously for the observer.
Two approaches have been previously proposed [
32,
33,
34]. One is the parallax barrier, which is commercially available; however, it has disadvantages related to half-light transmittance and resolution loss. Another approach involves an array of LC microlenses, and demonstrates relatively high light transmittance. When the electric field is applied to the LC lens, the focusing effect can be observed. Otherwise, the array of LC microlenses behaves as an isotropic optical plate.
Submillisecond response times and low driving voltage distinguish FLCs as the potential candidate for imaging and photonic devices. However, FLCs are limited by intrinsic defects such as mechanical instability, chevrons, and, most importantly, intrinsic diffraction. It was previously found that the optical characteristics of FLCs can be improved if their elastic interactions are balanced by the anchoring interactions of the alignment layer [
10]. The photo-alignment discussed in
Section 2 offers precise control of the anchoring energy by controlling the irradiation energy doses. As a consequence, it provides a desirable balance between the competing anchoring and elastic interactions of the helical FLC. This balance occurs when
d ≫
p0, and it offers high optical quality with a contrast ratio of ∼10k:1 between the crossed polarizers. This electro-optical mode is known as the ESHFLC. This mode was earlier studied for display applications, viz., field sequential color display, pico-projector microdisplays, 3D displays, etc. [
11,
35]. In addition, ESFLC mode does not result in any intrinsic diffraction effects. This fact can be used in the development of FLC gratings, shutters, Fresnel lenses, etc.
The proposed 2D/3D switchable lens device is based on the polarization-dependent passive polymeric lens array and switchable half-wave plate. The latter is based on the ESHFLC mode, which plays the role of the polarization selector unit, i.e., quickly switches the polarization state of the impinging light under the driving voltage ∼2 V. This enables us to claim that the proposed 2D/3D lens unit can be suitable for portable devices. A schematic illustration showing an FLC-based 2D/3D switchable lens is presented in
Figure 12. The prototype consists of the LCD screen, ESHFLC polarization selector unit, and polarization-dependent gradient index (GRIN) lens array.
Each microlens, which is shown in
Figure 12a, includes two sub-pixels for the left and right images. The outer polarizer axis is aligned parallel to the easy alignment axis of the lens array, whereas the ESHFLC polarization selector unit is placed at the angle
θ (∼22.35°) (see
Figure 12b). Thus, one polarity of the electric field
E can orient FLC molecules parallel to the optical axis of the polarizer and does not affect the impinging light. As the result, the light travels through the lens array, and does not show either a focusing effect or a 2D effect (see
Figure 12c). However, for the reverse polarity of the electric field, the FLC molecules switch to another allowed configuration around the cone, i.e., 2
θ from the polarizer azimuth of the light from the LCD. In this case, the ESHFLC cell (Δ
nd = λ/2) rotates the polarization state of the impinging light by 90° and shows the focusing effect, i.e., 3D mode (see
Figure 12d).
This suggests that the viewing mode of the lens can be switched by reversing the electric field direction. The performance of the lens for 2D/3D modes is shown in
Figure 13.
The image with 2D and 3D data was recorded 25 cm away from the lens array.
Figure 13a,b shows a two-dimensional image that was observed for two states of the ESHFLC cell. The area where the flower is depicted is covered by ESHFLC electrodes, while the area with the characters “SKL” is not covered by the ESHFLC electrodes. Identical 3D image for the two states is depicted in
Figure 13c,d. In these images, the 3D image of the flower is given for the defocused and focused states, respectively. It is clear that both ESHFLC mode and the polarization-dependent GRIN lens have good performance.
The ESHFLC polarization rotation unit represents a half-wave plate for the green light (543 nm). Then, it is natural to expect crosstalk for red and blue colors. Recall that red and blue lights are elliptically polarized after the ESHFLC cell. This fact is the main reason for the crosstalk. Under the assumption that the lens system is perfect, our measurements show that the crosstalk is ∼5% (see
Figure 13) for blue and red lights. This drawback can be resolved by adding two polarization selector units that are orthogonally aligned to each other.
In the proposed lens, the high extinction ratio of the ESHFLC with small response time and high optical quality requires a small driving voltage to switch between 2D/3D modes. The illustrated driving scheme provides a proper DC balance to FLC materials without compromising optical quality in the image mode. Thus, the proposed switchable lens unit with low power consumption, acceptable crosstalk, fast response time, and simple fabrication technique can be applied in portable devices.
4.4. Low-Level Laser Therapy Devices
Photobiomodulation is also termed low-level laser therapy (LLLT) and its effectiveness has been demonstrated in the stimulation of hair growth in mice [
38]. Clinical studies show that laser light (λ = 600 ÷ 1100 nm, 3–90 mW/cm
2) or light-emitting diodes promote hair growth and assist in treatments for wound healing, pain reduction, tissue repair, anti-inflammatory therapy, traumatic brain injury, spinal cord injury, depression, Parkinson’s disease, and circadian rhythm sleep disorder (e.g., [
39,
40,
41]). Other studies show that the use of blue and green lights can be applied in the investigation of stem cells in regenerative medicine [
42,
43]. In particular, the motility of spermatozoa can be facilitated by red light [
44]. Stimulation by visible light, accomplished with virtual images, provides novel therapies in neuroscience [
45]. However, photobiomodulation remains controversial due to insufficient understanding of the underlying biochemical mechanisms, as well as the tuning of appropriate parameters, such as wavelength, fluence (or energy density in units of joules/cm
2), power density, and pulse duration for the applied light). For example, incorrect tuning of the energy density results in no observable effect or inhibition of cellular function. The irradiance threshold is also the basic factor for extensive applications in photobiomodulation. An optimal dose of light is essential to reduce negative therapeutic results. Identifying a mechanism to adjust the light beam parameters is a challenge for medical physics.
This motivates the development of electrically tunable light modulators for light sources, which can enable researchers and physicians to easily configure light parameters. Liquid crystals are capable of controlling all of the mentioned parameters and be used in attenuators, lenses, waveplates (wave retarders), gratings, polarization rotators, and color filters [
46,
47]. The FLC photonic devices discussed earlier have been demonstrated to be portable and can have a quick response time to any change of electric field.
A literature review shows that there are no studies supporting tunable optical systems or LC photonic devices for photobiomodulation. This section demonstrates the feasibility of fabrication of a tunable optical system for photobiomodulation to aid physicians in overcoming the constraints of light use due to the biphasic dose response [
48]. The output light of the proposed optical system can be electrically adjusted for energy density, wavelength, and beam size.
4.4.1. Methodology
In order to control the fluence (in the unit of J/cm
2) and select the wavelength of light, a tunable optical system for photobiomodulation should contain four elements: a light source, electrically tunable color filter, bandwidth suppressor, and electrically tunable lens, as shown in
Figure 17.
The role of the electrically tunable color filter is to select the required wavelength for the LLLT applications. The bandwidth suppressor shrinks the bandwidth of light transmitted by the electrically tunable color filter. In addition to the wavelength control, the beam size must also be configured. The function of the electrically tunable lens is to adjust the beam size, which results in the adjustment of the light intensity (in units of W/cm
2). By controlling the period of the switching time for the light source, the exposure time can be manipulated. Therefore, the fluence can also be adjusted. The block diagram of the tunable optical system is depicted in
Figure 18.
As the white light source, an LED (TouchBright TB-X3-RCPI) was used. A pinhole and two lenses (L1 and L2) of 20 and 50 diopters (or m−1), respectively, were used to obtain collimated light. The electrically tunable color filter consists of two polarizers and two electrically tunable LC optical phase retarders (i.e., phase retarder 1 and phase retarder 2). The transmissive axes of the two polarizers are parallel to the y-direction, and the initial alignment of the two phase retarders is either 135° or 90° with respect to the x-axis.
The effective slow axis of the optical phase retarders can be switched along
θ = 135° at +10 V or
θ = 90° at −10 V (i.e.,
θ1 and
θ2 in
Figure 18 are 135° or 90° depending on the applied voltage) due to the bistability of FLC. The bandwidth suppressor consists of another LC phase retarder (phase retarder 3) and a polarizer. The electrically tunable lens is denoted by
L3 with the lens power of 12 D.
4.4.2. Sample Preparation
A ferroelectric liquid crystal (Felix-017/000) with Δ
n = 0.17 was used as the functional material in phase retarders 1 and 2. The FLC material was placed between ITO-coated glass substrates, which were covered with thin polyimide layers (Mesostate LCD Industries, Taiwan) and mechanically rubbed in anti-parallel directions. The cell gaps for the two FLC cells were 2.8 μm (phase retarder 1) and 3.8 μm (phase retarder 2). Nematic LC (E7, Δ
n = 0.21, λ = 650 nm) was used in phase retarder 3, which was also sandwiched between two ITO glass substrates coated with the same polyimide layers and mechanically rubbed in anti-parallel directions. The cell gap was 25.6 μm. The geometry of phase retarders 1, 2, and 3 is shown in
Figure 19a–c. The initial alignments of the FLC phase retarders (rubbing directions) were either 90° or 135° with respect to the x-axis. When −10 V was applied to the FLC phase retarder, the directors were switched to 90° with respect to the x-axis, as shown in
Figure 19a. When +10 V was applied to the FLC phase retarder, the director field was switched to 135° with respect to the x-axis (
Figure 19b). The dependence of the phase retardation versus the applied voltage for the nematic phase retarder is plotted in
Figure 19d. To meet the desired optical path difference (~3.23 μm), the LC cell for the bandwidth suppressor was operated at the voltage of 1.75 V
rms (
f = 1 kHz).
As the LC lens, we used a double-layered structure with a hole-patterned electrode and two flat electrodes [
49]. The thickness of the glass substrates was maintained at 0.4 mm. A highly resistive layer was spin coated on the hole-patterned electrode. NOA81 was used as the insulating layer with 25 μm thickness. Rather than being aligned orthogonally, the two LC layers (nematic LC, LCMatter, LCM-1790) were parallel-aligned. Thus, a polarization-dependent optical phase was obtained. The detailed structure for the LC lens is shown in
Figure 20a. The cross-sections of the LC lens at voltage-on are illustrated in
Figure 20c, d. A hole-patterned electrode and two flat electrodes (gray-colored) control the inhomogeneous electric fields distributed across the LC layers. Lens powers are controlled by the two electric fields
V1 and
V2. At the applied voltages
V1 >
V2, LC molecules in the center of the LC lens are more parallel than the molecules near the edge of the aperture. As a result, light travels faster near the edge of the aperture than in the center. The incident plane wave is converted to the converged paraboloidal wave. The lens power of the LC lens is positive. In contrast, the LC lens is a negative lens for
V2 >
V1. The thickness of the two LC layers and the LC polymer film was 50 μm. The aperture size was 10 mm. The voltage-dependent lens power was measured based by the Shack–Hartmann wavefront sensor (Thorlab, WFS-150-7AR).
Figure 20b shows the measured lens power as a function of
V1 and
V2. The measured lens power for the LC lens ranges from +2 diopters to −2.5 diopters (i.e., the focal length ranges from −40 cm to +50 cm).
4.4.3. Tunable Irradiance
In addition to the tunable color filter (
Figure 18a) and the bandwidth compressor, the LC lens provides tunable irradiance. By changing the beam size on the exposure area with the tunable lens power, the irradiance (watts/m
2) can be adjusted. To measure this change, a diffusor was placed 7 cm from the LC lens. The images were recorded by a camera (Sony RX100M3) when the LC lens had three different lens powers. The recorded images are depicted in
Figure 21a. Here, the images of the first row show the difference in beam size for different lens powers when the color filter transmits red light. Rows 2 and 3 show the images for green and blue lights. Further analysis of the spot profiles was carried out using an image processing program (ImageJ). Before fitting the brightness distribution along the x-cross-section of each spot by Gaussian function, the full width at half maximum was calculated. The full width at half maximum of each spot is slightly enlarged in diameter from 5 to 6.5 mm when the lens power changes from +2 diopters to −2.5 diopters.
Then, we studied the irradiance versus the beam size (
Figure 21b). The approximate tunable range of the irradiance for all three wavelengths is from 0.6 to 1 mW/cm
2. The irradiance decreases when the beam size increases.
The proposed optical system (
Figure 18a) performs wavelength selection and provides the ability to adjust the irradiance. By multiplying the irradiance by time, one can tune the energy density (or fluence). For practical applications, the energy density can reach 2.16–3.60 J/cm
2 for the treatment time of 60 min. The achieved treatment time is too long for portable light therapy devices. This problem can be solved by decreasing the power loss of the optical system in terms of removal of multiple reflections. If the irradiance of the output light can reach a range of 2.4–4 mW/cm
2, the treatment time can be reduced to approximately 15 min.
In summary, the designed optical system transmits an electrically tunable wavelength and controls energy density from the white light source (LED). Two FLC optical phase retarders were used as tunable color filters for three wavelengths (red, blue, and green). The role of the bandwidth suppressor is played by nematic LC optical phase retarder. The beam size can be adjusted by a liquid crystal lens. The bandwidth of the peak wavelength is suppressed to less than 0.1 μm. The energy density can be adjusted in the range from 0.6 to 1 mW/cm2 by tuning the exposure area using an LC lens.