1. Introduction
Liquid crystal (LC) based photonic devices are important in light modulated applications including amplitude modulation and phase modulation. [Yang et al. (2006)] The anisotropic properties of LC result in employing two polarizers in most of LC devices. The optical efficiency (~3%) and the viewing angle are limited. Therefore, it is highly desirable to develop polarizer-free LC devices. [Yang et al. (2006); Lin et al. (2008)] In polarizer-free liquid crystal displays (LCDs), two types are demonstrated. One is polarizer-free Guest-Host LCD which obtains dark state by doping small amount of dichroic dye molecules into LC host. [White et al. (1974); Cole et al. (1977); Bahadur (1992); Wu et al. (2001); Yang (2008)] However, the contrast ratio and reflectance are low due to the dichroic ratio (~10:1) of dyes. The other is scattering-absorption type, which combines light scattering and absorption. The second type is to mimic the display shown in white paper. In a printed paper, the printed areas turn out dark because the ink absorbs light and light is scattered by the fibers in the white paper. In order to obtain scattering effect, the polymer and liquid crystal complex system is used, including polymer dispersed liquid crystals (PDLCs), polymer networks liquid crystals or liquid crystal gels. [Drzaic (1995)] The scattering mainly results from the mismatch of refractive indices of polymer networks and liquid crystal molecules. To further increase light absorption, dye molecules are doped into the polymer and liquid crystal complex system, for example, dye-doped PDLCs [Drzaic (1995); Lin et al. (2004)], and dye-doped LC gels. [Lin et al. (2005); Lin et al. (2006); Lin et al. (2008); Lin et al. (2009)] Contrast ratio (CR) of dye-doped PDLC is still not good enough because the dye solubility with polymer matrix, the order parameter of dye and dichroic ratio (typically ~10:1) of dye. [Drzaic (1995); Lin et al. (2004)] In 2005, we have developed a polarizer-free LCD using a dye-doped dualfrequency liquid crystal (DFLC) gel on the ITO-only glass substrates [Lin et al. (2005); Lin et al. (2006)]. Although its contrast ratio reaches ~150:1 and response time ~6 ms under frequency modulation and the laser-based measurement, the frequency driving scheme, high driving voltage (~30 Vrms) and unavoidable dielectric heating effect. [Wen et al. (2005); Yin et al. (2006)] need to be overcome for TFT-LCDs and flexible displays applications.
To avoid the dielectric heating effect of DFLC, negative LC within vertical alignment layer is a good alternative and it is suitable for making a transflective LCD [Lin et al. (2006)]. The gel-like feature of materials, vertically aligned polymer network and low temperature processes drives us to realize a trim-able and bendable polarizer-free flexible display in reflective mode. In 2008, we demonstrated a polarizer-free flexible electro-optical switch using dye-doped LC gels which is polarizer-free, fast response, high contrast. [Lin et al. (2008)] Many parameters affect the phase separation process [Yang et al. (2006); Ren et al. (2008)]and then have influence on the electro-optical properties of dye-doped LC gels, such as curing temperature effect. The normally white gels exhibit ~55% reflectance, ~450:1 contrast ratio, ~6.4 ms response time, and ~30 Vrms at
In this book chapter, we introduce a polarizer-free LCD using dye-doped LC gels whose the physical mechanism is mainly the combination of both light scattering and absorption. In the beginning, we introduce the structure and mechanism of our dye-doped liquid crystal gels. Second, the experimental setups, results (morphologies, electro-optical properties, response time) and mathematical model are also discussed. Third, the performance of such a polarizer-free liquid crystal display is shown. Finally, we will introduce multiple step switches using distinct dye-doped LC gels for the application of decorative displays. The potential applications are flexible displays, electrically tunable light shutters, and decorative displays.
2. Polarizer-free dye-doped liquid crystal gels
2.1. Structures and operating principles
The structure and operation principles of the dye-doped LC gel are schematically depicted in Fig. 1. At V=0, the cell does not scatter light and the absorption is rather weak due to the vertically aligned polymer networks, liquid crystal directors and dye molecules. Therefore, the display has the highest reflectance. When the applied voltage (V1) is larger than the threshold voltage (Vth), the LC directors with a negative dielectric anisotropy are tilted away from the electric field and LC molecules bring dye molecules to rotate with them, as shown in Fig. 1. The cell is then switched into a multi-domain structure. As a result, both of scattering and absorption increase. Then the reflectance decreases. In addition, all the LC directors and dye molecules have the same tilt angle but random orientations. Therefore, the reflectance is polarization-independent. When we further increase the voltage (V2>>Vth), the LC directors and dye molecules are aligned along x-y plane randomly, as Fig. 1 depicts. The scattering and absorption are maximal. Besides, all the polarizations of incident light experience the same averaged scattering and absorption. As a result, the dye-doped LC gel appears black and is still polarization independent. The appearance of color is mainly because of the light absorption of dye. The scattering and reflection assist the multiple absorption due to the elongate the paths of light propagation.
2.2. Fabrications
The dye-doped LC gel we employed is a mixture of negative nematic liquid crystal ZLI-4788 (Merck, ne= 1.6567, Δn=0.1647 at λ=589 nm; Δε= -5.7 at
The dye-doped LC mixture was then injected into an empty cell consisting of two glass substrates whose inner surfaces were coated with a thin conductive layer, indium-tin-oxide (ITO) and polyimide (PI) layer
2.3. Morphologies
Fig. 2 show the morphologies observing under an optical microscope with a single polarizer only. The top region of the two regions in Fig. 2 is the patterned ITO area. The bright region represents the state of V=0. The dark area represents the ITO electrodes applied 30 Vrms at
The photographs of Scanning Electron Microscopy (SEM) are shown in Fig. 3 (a)-(h). Fig. 3 (a), (c), (e) and (g) are the top views of the cells at different curing temperatures (T). Fig. 3 (b), (d), (f), and (h) are the side views of the cells at different curing temperatures. In Fig. 3 (b), (d), (f), and (h), the polymer networks are perpendicular to the glass substrates. The polymer networks of dye-doped LC gels consist of chain-linked polymer grains. The averaged sizes of polymer grains measured from Fig. 3 (a), (c), (e) and (g) are around 68 nm at T=10ºC, 94nm at T=20ºC, 125nm at T=30ºC, 132nm at T=40ºC. The averaged domain sizes of polymer networks measured from Fig. 3 (b), (d), (f), and (h) are around 3.25 μm at T=10ºC, 4.62 μm at T=20ºC, 4.78 μm at T=30ºC, 6.12 μm at T=40ºC. Both of the domain sizes and the size of polymer grains increase with curing temperatures. The scattering is mainly because of the domain sizes of polymer networks because the domain sizes of polymer networks are near wavelength of incident light while the sizes of polymer grains are smaller than the wavelength.
2.4. Electro-optical properties
We adopt the typical reflectance measurement to measure the electro-optical properties of dye-doped LC gels. Because the guest-host system we employed appears dark red rather than black, we used an unpolarized green He-Ne laser (λ=543.5 nm, Melles Griot, Model 05- LGR-173) instead of a white light source for characterizing the device performances. A dielectric mirror was placed behind the cell so that the laser beam passed through the cell twice. A large area photodiode detector (New Focus, Model 2031) was placed at ~25 cm (the
normal distance for viewing a mobile display) behind the sample which corresponds to ~2º collection angle. A computer controlled LabVIEW data acquisition system was used for driving the sample and recording the light reflectance. In order to prove our dye-doped LC gel is polarization independent, we placed a polarizer between the laser and the LC cell. The reflectance as a function of an angle of the polarizer at different applied voltages is shown in Fig. 4. The variation of reflectance is less than 5% when we rotated the polarizer. It indicates the dye-doped LC gels are indeed polarization independent at all applied voltages. The reflectance at 0 Vrms is around 50%.
2.4.1. Curing temperature effect
After we removed the polarizer, the incident light then was unpolarized green laser beam. Fig. 5 (a) is the measured voltage-dependant reflectance of the dye-doped LC gels at various curing temperatures. The reflectance was normalized to that of a pure LC cell with the same cell gap. The reflectance decreases gradually with the applied voltage V>Vth due to the increases of the scattering and the absorption. As curing temperature decreases, the increases (~40% to ~55%) of maximum reflectance at V=0 and that is because of the better vertical alignment of LC directors, dye molecules and polymer networks at a low curing temperature. The contrast ratio (CR) is defined as a reflectance ratio of 0 Vrms to 30 Vrms. The CRs are ~450: 1 at 10 ºC, ~250: 1 at 20 ºC, ~200: 1 at 30 ºC, and ~300: 1 at 40 ºC. The contrast ratio decreases as T< 30ºC and then increases as T>30ºC. That is because the increase of a curing temperature results in larger polydomains; therefore, the CR and threshold voltage decrease. Moreover, the decay time increases, as shown in Fig. 5(b). When the temperature is higher than 30ºC, we found the cell has dynamic scattering, a fluctuation of liquid crystal directors in polymer domains, to help rebooting the contrast ratio in spite of the larger domain size. To lower the driving voltage, a high birefringence and high absolute value of dielectric anisotropy (Δε) of a negative LC and slightly lower polymer concentration could be considered.
Response time is also an important parameter for Guest-Host LCDs. The response time of the dye-doped LC gels was measured using 30 Vrms squared pulses with time duration 500ms at
Besides the curing temperature, the UV curing intensities, monomer concentrations and dye concentrations also affect the performance of the dye-doped LC gels. We discuss in the following sections.
2.4.2. Curing UV intensity effect
To examine the effect of UV curing intensity (I), we prepared four samples with the same mixtures at the curing temperature 10 ºC, but at different UV curing intensities which were 2.6, 1.37, 0.733, 0.354 mW/cm2 respectively. The cell gaps were still 5 μm. The measured reflectance as a function of voltage is shown in Fig. 6(a). With the increases of UV curing intensity, threshold voltage (Vth) increases from 4.82 Vrms (I ~ 0.354 mW/cm2) to 5.92 Vrms (I~2.6 mW/cm2 ). The maximal reflectance at V=0 increases from 44% (I ~ 0.354 mW/cm2 ) to ~57% ( I~2.6 mW/cm2). In Fig. 6(b), rise time is around 0.4 ms, but decay time decreases from 9 ms (I ~ 0.354 mW/cm2) to 6.88 ms (I ~ 2.6 mW/cm2). The larger UV curing intensity results in smaller domain size of polymer networks. That causes a stronger anchoring energy and then enlarges the threshold voltage. Therefore, it boosts the response. The reflectance at V=0 decreases under higher UV curing intensity owing to better vertically alignment at V=0. Generally speaking, UV curing intensity does not affect the electrooptical properties of dye-doped LC gels dramatically. However, weak UV curing intensity can result in the longer curing time in order to complete the polymerization.
2.4.3. Monomer concentration
In this section, the monomer concentration effect is discussed. We prepared three cells at different monomer concentrations which were 3 wt%, 5 wt%, and 7 wt%. The fabrication processes of the cells were at the same UV curing intensity 2.6 mW/cm2 and also at the same curing temperature 20 ºC. The cell gaps were still 5μm. The voltage-dependent reflectance at different monomer concentrations is shown in Fig. 7(a). The threshold voltage increases from 2.1 Vrms (at 3 wt% M1) to 6.52 Vrms (at 7 wt% M1) due to the denser polymer networks. The reflectance at V=0 decreases slightly (from 51% at 3 wt% M1 to 46% at 7 wt% M1). That is because denser polymer networks affect the vertical alignment of LC directors and also increases the scattering slightly. CR increases from 222 : 1 (at 3 wt% M1) to 486 : 1 (at 7 wt% M1) owning to better scattering of higher monomer concentration at the high driving voltage. Fig. 7(b) shows the measured response time as a function of monomer concentration. Rise time is around 0.2 ms-0.4 ms, and decay time increases from 52 ms (at 3 wt% M1) to 7.3 ms (at 7 wt%M1).
The higher monomer concentration has smaller domain sizes; therefore, the LC directors are relaxed back faster due to stronger anchoring energy after turning off the applied voltage. To lower driving voltage, we can reduce the monomer concentration; however, the polymer network of dye-doped LC gels is not stable as the monomer concentration is too low.
2.4.4. Dye concentration
As to the effect of dye concentration, three cells with the different dye concentrations, 3 wt%, 5 wt%, and 7 wt%, were prepared at the same curing temperature 20 ºC and at the same UV curing intensity 2.6 mW/cm2. The cell gaps were 5 μm. Fig. 8(a) plots measured voltage-dependent reflectance at three dye concentrations. The reflectance at V=0 decreases from ~ 63% (at 3 wt% S428) to ~ 42.5% (7 wt% S428) as the dye concentration increases due to the increases of absorption, even at the same concentration of monomer. The threshold voltages of cells with 3 wt%, 5 wt%, and 7 wt% S428 are almost the same around 5 Vrms. That is because the monomer concentrations are the same. The CRs of the cells with 3 wt%, 5 wt%, and 7 wt% S428 are 668:1, 342:1, and 31:1, respectively. Higher dye monomer concentration reduces not only reflectance at V=0, but also degrades the dark state at V=30. In Fig. 8(b), rise times are around 0.3 ms and the decay time increases 2 times from 9.8 ms at 3wt% S428 to 20.96 ms at 7wt% S428) with the dye concentration. That is because dye molecules hinder LC directors relax back at higher concentration of dye under same monomer concentration.
3. Mathematical models
By considering the scattering and absorption, the reflectance (R(θ)) as a function of tilt angle (θ) of LC directors with respect to x-axis can be expressed as:
where d is cell gap,
eff(θ) can be expressed as:
where ρ1 is the dye concentration, // and are the absorption coefficients when the polarization of incident light is parallel or perpendicular to the principal axis of dye molecule. ρ0 is the LC concentration, V is the average volume of a domain. σeff in Eq. (4) is the effective scattering cross section from all liquid crystal droplets and can be expressed as:
Based on anomalous diffraction approach [Drzaic (1995)], scattering cross section results from a single LC domain is:
where σ0 is the geometrical optics cross section related to the domain size, δ is the polarization angle; Hve(θ) and Hvo(θ) stand for phase shift induced by e-ray and o-ray respectively. The averaged domain sizes of polymer networks are measured around 1.5 μm~3μm. For numerical calculations we have chosen the following parameters according to the experiments: ρ1=0.05 g/cm3, and ρ0=0.89 g/cm3. //= 11.83 μm-1 and = 0.926 μm-1. The simulation result is shown in Fig. 9. In Fig. 9, the reflectance decreases with the tilt angle. The R-θ curve shifts to right as the domain size is smaller. The simulation results agree with the experimental results in Fig. 5. The smaller domain size or larger density of polymer networks can result in the larger operating voltage and better dark state. We can adjust UV intensity, curing temperature, the controlled temperature under UV illumination, and concentration of LC, dye or monomer to change the domain sizes of polymer networks.
4. Polarizer-free flexible LCDs using dye-doped LC gels
Roll-able, bendable, trim-able, and conformable paper-like flexible displays are useful for electronic paper, electronic tag, and decorative displays. [Crawford (2005)] Many liquid crystal (LC) technologies, such as polymer-dispersed liquid crystals (PDLC) [Mach et al. (2001); Sheraw et al. (2002); Hohnholz et al. (2005); Buyuktanir et al. (2006); Wang et al. (2007)], cholesteric liquid crystals [Wu et al. (2001); Yang et al. (1994); Chari et al. (2006); Khan et al. (2005); Khan et al. (2007)], and single-substrate LCDs using photoenforced stratification [Penterman et al. (2002); Raynes (2002); Vogels et al. (2004)] or using LC/polymer composites [Kim et al. (2002); Kim et al. (2004); Lin et al. (2006); Ren et al. (2007)], and non-liquid crystal technologies, such as electrophoretic imaging [Comiskey et al. (1998); Gelinck et al. (2004); Daniel et al. (2007)], Gyricon [Crowley et al. (2002)], and organic light-emitting diode (OLED) [Gu et al. (1997); Burrows et al. (1997); Krasnov (2002); Sugimoto et al. (2004); Zhou et al. (2006)], have been carried out to achieve transmissive type or reflective type flexible displays. In liquid crystal-based flexible displays, bistability and colors of cholesteric liquid crystals limits the application due to the complexity of driving and color shift at off angle. Instead of cholesteric liquid crystals, dye-doped LC gels can be used in flexible displays because the dye-doped LC gels is gel-like and the polymer networks of dye-doped LC gels are perpendicular to the glass substrates.
The images of a single pixel of the polarizer-free LCD using dye-doped LC gels at V=0 and V=30 Vrms are shown in Fig. 10(a). By replacing glass substrates with flexible substrate, dye-doped LC gel is not only bendable but also trim-able because our material is gel-like, as shown in Fig. 10(b). The flexible substrates are provided by EOL/ITRI (Electronics& Optoelectronics Research Laboratories, Industrial Technology Research Institute, Taiwan). IZO was over coated on the top of flexible substrates made by polycarbonate with thickness 120 μm. The cross shaped microstructures made by photo-spacers, resins, were developed on the flexible substrates by photolithography process. The width of photo-spacers is 10 μm and the pitch of photo-spacers is 430 μm. The ambient white light was used to illuminate the cells. However, the CR is degraded. The CR is higher under laser-based measurement because of the collimation of the laser beam. Figure 10(c) is the transmission as a function of radius of curvature under bending at 0 and 30 Vrms. The measurement method is two-point bending technique. The transmission of dye-doped LC gels is almost the same as the radius of curvature larger than 21 mm. The dye-doped LC gel is trim-able as well because our material is gel-like, as shown in Fig. 10 (d) and (e). The flexible display performance remains almost the same after cutting by a scissor. Since no polarizer in needed, the residual birefringence of polycarbonate does not affect the performance of our flexible display.
5. Polarizer-free multiple step switches using distinct dye-doped LC gels
In order to realize a display with multi-pixels, we usually pattern the substrate by pixilated indium-tin-oxide (ITO). However, the involved fabrication and driving are complicated. Especially in the fabrication process of flexible displays, chemical stability of plastic substrates and failure of ITO under tension degrade the performance of flexible displays. In order to achieve a simple and easy process for flexible displays, we can develop a multiple step switch using dye-doped LC gels without patterning ITO layers. Moreover, the switch should provide extra information states besides voltage-on and voltage-off states for the applications of the decorative displays within a simple driving and manufacturing process. A polarizer-free multiple step switches using distinct dye-doped liquid crystal gels
is demonstrated in reflective mode. By controlling the spatial distribution of the density of polymer networks, the distinct dye-doped LC gels can produce multiple states: bright, dark and information states without patterning ITO. The multiple states are generated by adapting different polymer network density in different display regions. The dark state is due to the combination of scattering and absorption. In this section, we demonstrated a three step switch using distinct dye-doped LC gels. [Lin et al. (2009); Du et al. (2003)] The potential applications are decorative displays, electrically tunable iris, and electrically tunable low pass or high pass filter.
5.1. Operating principles of a polarizer-free three step switch
Fig. 11 illustrates the operating principles of a polarizer-free three step switch using distinct dye-doped LC gels. The structure consists of ITO glass substrates, vertical alignment layer without rubbing treatment, a diffusive reflector, negative liquid crystals, dichroic dye molecules, and the distinct distribution of polymer networks which divide the cell into two parts, the low density of polymer networks (LDPN) and the high density of polymer networks (HDPN), as shown in Fig. 11(a). Without an applied voltage (V=0), polymer networks, LC and dye molecules are aligned vertically; hence, the cell does not scatter light and the absorption is weak. The cell has high polarization-independent reflectance. When V1 is larger than the threshold voltage in LDPN (Vth1), the LC directors are reoriented first and then bring dye molecules to rotate accordingly due to weak anchoring energy provided by LDPN; meanwhile, the LC directors remain vertically aligned in HDPN, as shown in Fig. 11(b). The reflectance then reduces in LDPN region due to the increases the scattering and absorption while the reflectance remains high in HDPN region. Furthermore, all the LC directors and dye molecules in LDPN have the same tilt angle within random orientations which originate from the alignment layer without rubbing treatment. The reflectance in LDPN is polarization-independent. When the applied voltage is larger than the threshold voltage Vth2 (>V1) of HDPN, the LC directors in HDPN begin to reorient by the electric fields and then the reflectance in this region decreases as well. When the applied voltage V2 is much larger than Vth2, the negative liquid crystals and dye molecules in both regions are reoriented randomly in the x-y plane, as shown in Fig. 11(c). Thus, the both regions appear polarization-independent dark state.
5.2. A polarizer-free three step switch using distinct dye-doped liquid crystal gels
The fabrication process is similar to dye-doped LC gels, but spatial distribution of polymer networks. To prepare a cell of distinct dye-doped LC gels, we mixed nematic LC ZLI-4788 with an UV-curable diacrylate monomer and a dichroic dye S428 (Mitsui, Japan) at 90: 5: 5 wt% ratios. In order to generate distinct distribution of polymer networks, two-step UV curing process was applied. First, one region of the cell with filled mixtures was exposed to a UV light (λ~ 365 nm) with UV intensity 1.37 mW/cm2 at 10ºC for 1.5 hours to generate HDPN. After that, the other region of the cell was irradiated by the UV light with lower UV intensity 0.73 mW/cm2 at 20ºC for another 1.5 hours to develop LDPN. The higher curing intensity of UV light and lower curing temperature results in HDPN. [Lin et al. (2008); Du et al. (2003)] The cell gap was 5 μm. The three step switch can also be a flexible switch by replacing substrates.
Fig. 12(a) plots the measured voltage-dependant reflectance of the sample for HDPN and LDPN when the voltage is ramped up (solid line) and down (dotted line). The threshold voltage in HDPN (5.42 Vrms) is larger than that in LDPN (4.62 Vrms). At V=0, the reflectance in HDPN and LDPN are 50.2% and 49.2%, respectively. The CR is still defined as a reflectance ratio of 0 Vrms to 30 Vrms. The CRs in both regions are ~ 200:1 under laser-based measurement. When we use an integrating sphere (DMS803, product of the AUTRONICMELCHERS GmbH) under a white light source, the CRs in both regions are ~3:1. Typically CR for newspaper under the same measurement is ~5:1. Improving the scattering state and dichroic ratio of dye can further improve the CR. The response time (rise time plus decay time) is 11 ms in LDPN and ~ 9 ms in HDPN by using 30 Vrms squared pulses with time duration 500 ms at f=1 kHz. The HDPN results in the stronger anchoring force between the LC and polymer networks; therefore, the threshold voltage is higher and response time is faster. In order to demonstrate the image of the 3-step switch, we patterned the distinct dyedoped LC gels with a photomask of a “C” pattern without patterning the ITO layer, as shown in Fig. 12(b). The cell can show three switching states: bright state at V=0, information state at 9 Vrms, and dark state at 30 Vrms.
The distinct dye-doped LC gels show the hysteresis when the voltage is ramped up and down. Without patterning ITO layer, the voltage is applied to different density regions simultaneously. Thus, the sample still can be operated as a three step or a four step switch as long as the electro-optical curves in different density regions are distinguishable no matter ramped-up voltages or ramped-down voltages.
The reflectance in HDPN (Rhigh) and in LDPN (Rlow) can be expressed as a function of tilt angle θ of LC directors with respect to x-axis (in Fig. 11): [Drzaic (1995); Khoo et al. (1993)]
where d is the cell gap, 1(θ) and 2(θ) are the averaged absorption coefficients. β1(θ) and β2(θ) are the average scattering coefficients. The averaged absorption can be expressed in Eq. (9).
where ρ is dye concentration, and is the absorption coefficient for the polarization of incident light perpendicular to the principal axis of the dye molecule. The effective absorption coefficient eff(θ) of the dye molecules can be expressed as:
Where // is the parallel absorption coefficient. At V=0, θ is near π/2; consequently, 1 ≈ 2 approximately equals to ρ× and β1(θ) ≈ β2(θ) equals to 0 because of the vertically alignment of LC directors, dye molecules and polymer networks. Therefore, R
6. Conclusion
In conclusion, we have introduced and demonstrated polarizer-free LCDs using dye-doped LC gels. These polarizer-free dye-doped LC gels exhibit high reflectance, high contrast ratio, wide viewing angle, and fast response time. Especially the low temperature process is favorable for flexible displays. The gel-like materials assist stabilizing the flexible display under trimming. Our dye-doped LC gels provide a stable LC mode and open a new window in paper-like flexible displays. A polarizer-free three step switch using distinct dye doped LC gels is also demonstrated. The distinct dye-doped LC gels can display information by the spatial distribution of polymer network densities without patterned ITO layer. The advantages of such polarizer-free switches are 1) polarizer-free, 2) simple fabrication without ITO patterning, and 3) simple driving. However, the issues we have to overcome are high driving voltages, low resolution, non-black colors and long term stability of dye molecules due to photobleach. This concept can also be extended for making a polarizer-free multiple-switch. The potential applications are decorative displays, electrically tunable iris, and electrically tunable low pass or high pass filter.
Acknowledgments
The authors are indebted to Dr. Yan-Rung Lin, Dr. Shie-Chang Jeng, and Dr. Chi-Chang Liao (EOL/ITRI, Taiwan), and Dr. Yung-Hsun Wu (Innolux, Taiwan) for technical discussions. Thank Mr. Chun-Hsiang Lo, and Mr. Hung-Shan Chen for the technical assistance. This work is supported by National Science Council (NSC) in Taiwan under project number: 96-2112-M-009-019-MY2.
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