Characterization of a grating-coupled liquid crystal cell using a rigorous theoretical model

Abstract

We use a rigorous differential formalism to model the optical response of a multilayer structure having both a surface-relief grating and containing uniaxial materials. The uniaxial material is, in this case, a layer of liquid crystal that has its uniaxial axis defined by its director. By fitting experimental angle dependent reflectivity data to a multilayer grating model we are able to determine the spatial profile of the liquid crystal director, and show how accurately the optical response of such a system may be modelled.     

Absolute measurement of the generated aberrations from liquid crystal spatial light modulator using a common-path interferometry

A compact common-path interferometry is proposed to measure the wavefront aberration generated from liquid crystal spatial light modulator (LC-SLM). The LC-SLM is encoded with an aberration pattern and illuminated with a linearly polarized light oriented at ±45° with respect to the fast axis of liquid crystal, which is vertically oriented. The horizontal polarization component of the incident beam is not affected by the driving signal, while the vertical polarization component is modulated to the aberration loaded to the LC-SLM. By imposing a quarter-wave plate and a rotating analyzer, these two waves create four frames of phase-stepped interferograms. The aberration to be measured can be retrieved, and the result does not include any systematic error such as the substrate error of LC-SLM. Therefore, this method can implement absolute measurement, and help us to evaluate perfectly the fitting accuracy of the LC-SLM.     

平行向列相液晶法-珀滤光片的光学特性分析

采用一种简单、稳定的方法-差分迭代法对平行向列相液晶在外电场作用下指向矢的空间分布进行了模拟计算.在此基础上,利用琼斯矩阵方法对平行向列相液晶法布里-珀罗滤光片的本征偏振态及光学特性进行了研究.结果表明,平行向列相液晶法布里-珀罗滤光片的共振模式是两组互相垂直的线性偏振态,且具有调谐范围宽,偏振敏感等特点.     

Photorefractive effects in ZnO nanorod doped liquid crystal cell

In a forced light scattering experiment, after the diffraction efficiency arrives to a stable state, both direct current (DC) voltage and two writing beams are turned off, and then by reapplication of the DC voltage we observed a peak. We provide an explanation based on periodically changed anchoring energy and also discuss the evolution of diffraction efficiency under different grating constants, laser polarization, and the direction of the optical axis of a liquid crystal cell. Experiment results show that photo-introduced charge density is nearly in proportion to the intensity of writing beams.     

Single-cell gap-transflective liquid crystal display using two optical modes of a bistable liquid crystal

We present a single-cell gap-transflective liquid crystal display (LCD) characterized by a π cell having bulk-type liquid crystal (LC) bistability and an optical film configuration. The π cell has two stable states, which are a twisted and a nontwisted LC state. We used the twisted LC state for the reflective part connected with nonpatterned electrodes, producing a vertical field in the proposed transflective LCD. Also the nontwisted LC state was for the transmissive part with interdigitated patterned electrodes driving an in-plane field in the device. The simulated and experimental results show good electro-optical characteristics in both the reflective and transmissive parts.     

Nematic liquid-crystal polarization gratings by modification of surface alignment

The stylus of an atomic force microscope is used to scribe preferred directions for liquid-crystal alignment on a polyimide-coated substrate. The opposing substrate that comprises the liquid-crystal cell is rubbed unidirectionally, resulting in a twisted nematic structure associated with each micrometer-sized pixel. The polarization of light entering from the uniformly rubbed substrate rotates with the nematic director by a different amount in each pixel, and each of the two emerging polarization eigenmodes interferes separately. Two examples are discussed: a square grating that allows only odd-order diffraction peaks and a grating that combines rotation with optical retardation to simulate a blazed grating for circularly polarized light. The gratings can be electrically switched if used with semitransparent electrodes.     

High diffraction efficiency from one- and two-dimensional Nyquist frequency binary-phase gratings

We examine the diffraction properties of one- and two-dimensional binary-phase gratings encoded onto pixelated liquid crystal displays (LCDs). We find that the first-order diffracted intensity from these binary-phase patterns can reach 100% of the zero-order intensity when the period of the grating approaches the Nyquist limit of the LCD. Experimental results show excellent agreement with theoretical predictions. This is a surprising result that has a number of implications for the encoding of diffractive optical elements.     

Carbon nanotube enhanced diffraction efficiency in dye-doped liquid crystal

We report on the optical properties of nematic liquid crystal cells containing the liquid crystal E7 doped with the azo dye Methyl Red at percentages ranging from 0.4% to 0.8% and 0.002% single-wall carbon nanotubes. From polarized absorption measurements an order parameter of S = 0.605 was obtained, showing that the dye molecules align themselves very well with the liquid crystal's director axis. Diffraction efficiencies of 532-nm pump and 670-nm probe beams were measured. Efficiencies and rise times were found to increase with dye concentration. A maximum efficiency of 5.8% was found for cells doped with carbon nanotubes, while cells without carbon nanotubes had a maximum efficiency of 3.2%. Therefore the presence of carbon nanotubes enhanced the diffraction efficiency by a factor of 1.8. The nonlinear index coefficient, n₂, was calculated to be 18 × 10^?3 cm²/W. The data are consistent with a grating formation based on trans-cis photoisomerism of the dye molecules that leads to a reorientation of the liquid crystal phase. These photonic devices are functional without the application of any external field, are easily prepared, and have lifetimes in excess of two years without any indication of degradation when stored at ambient temperatures.     

Generation of Bessel beam arrays through Dammann gratings

In this work we apply the Dammann grating concept to generate an equal-intensity square array of Bessel quasi-free diffraction beams that diverge from a common center. We generate a binary phase mask that combines the axicon phase with the phase of a Dammann grating. The procedure can be extended to include vortex spiral phases that generate an array of optical pipes. Experimental results are provided by means of a twisted nematic liquid crystal display operating as a binary π phase spatial light modulator.     

Projection display for the generation of two orthogonal polarized images using liquid crystal on silicon panels and light emitting diodes

We present a projection system that is capable of two-dimensional and three-dimensional image display. A novel projection architecture is discussed that can simultaneously generate two linear polarized full-color images with orthogonal states of polarization using only one optical system. Both images are modulated by using two high-resolution liquid crystal on silicon panels that are illuminated with high-power light emitting diodes. The optical core and the illumination system are simulated, characterized, and optimized with nonsequential ray tracing software. A proof-of-concept demonstrator of the entire projection system is built and characterized. Important component specifications are discussed to improve the system performance.     

Photoaligned Nanorod Enhancement Films with Polarized Emission for Liquid‐Crystal‐Display Applications

Semiconductor nanorods (NR) emit polarized light, which is expected to bring manifold benefits, in terms of brightness and color enhancement, for modern liquid‐crystal displays (LCD). In this regard, photoaligned nanorod enhancement films (NREF) for color and polarization conversion for LCD backlights are introduced here. The photoinduced anchoring forces, by the photoalignment layer, stimulate well‐ordered self‐assembly of NR in the thin polymer films. Green and red emitting NR with a quantum yield of ≈80% are aligned unidirectionally and in‐plane, showing a polarization ratio of >7:1 and a degree of polarization of >0.81. The photoalignment technique facilitates the fabrication of mixed and multiple stacked NREF for LCDs, which improves the color gamut and polarization efficiency, and is thus expected to increase the optical efficiency of conventional LCDs by ≈60%.     

A wide angle beam propagation method for the analysis of tilted nematic liquid crystal structures

Abstract

The optical wave propagation within liquid crystal structures is addressed by the development of rigorous electromagnetic wave propagation methods. The demand of more refined optical wave modelling methods is driven by the fact that the currently used methods applied to liquid crystal devices rely on the stratified medium approximation. As a consequence devices with variations of the director orientation on the scale of the optical wavelength cannot be accurately analysed. An appropriate beam propagation method is developed to circumvent these limitations in the case of liquid crystal devices exhibiting the bend/splay deformation in the director profile. The method is a wide-angle scheme, and is therefore not restricted to the paraxial region; it is tested on tilted liquid crystal structures.     

Simple parameter determination for twisted nematic liquid-crystal display

A simple and accurate measurement method for determining the cell parameters of a twisted nematic liquid-crystal display (TN-LCD) is proposed. Based on the measurement of the maximum reflectance and the maximum transmittance of a TN-LCD by rotating the polarizer at a particular angle, between the front director of the liquid crystals and the transmission axis of the polarizer, the cell gap and the twist angle can be determined according to the Jones matrix theory, and the twist sense can also be determined easily by applying an external small voltage to slightly change the effective refractive index of the liquid crystal.     

Optical properties of disperse-red-1-doped nematic liquid crystal

We report on the optical properties of nematic liquid crystal cells containing the commercially available liquid crystal E7 doped with the azo dye Disperse Red 1 at concentrations ranging from 0.3% to 1.0%. From polarized absorption measurements an order parameter of S=0.569 was obtained, thus showing that the dye molecules align themselves very well with the liquid crystal's director axis. Optical index gratings were written in the material by overlapping two coherent laser beams at 532 nm. Self-diffraction of the writing beams and diffraction of a probe beam at 670 nm were measured. First-order self-diffraction efficiencies and rise times were found to be linearly dependent upon the dye concentration with a maximum efficiency of 3.29% and a minimum rise time of 10.6 ms. The non-linear index coefficient, n ₂, was calculated to be 7.6 × 10^-3cm²W^-1. The data are consistent with a grating formation based on trans–cis photoisomerism of the dye molecules that leads to a reorientation of the liquid crystal phase. These photonic devices are functional without the application of any external field, they are easily prepared, and have lifetimes in excess of two years without any indication of degradation when stored at ambient temperature.     

Tunable Diffraction Gratings from Biosourced Lyotropic Liquid Crystals

Diffraction gratings are important for modern optical components, such as optical multiplexers and signal processors. Although liquid crystal (LC) gratings based on thermotropic LCs have been extensively explored, they often require expensive molecules and complicated manufacturing processes. Lyotropic LCs, which can be broadly obtained from both synthetic and natural sources, have not yet been applied in optical gratings. Herein, a facile grating fabrication method using a biosourced lyotropic LC formed by cellulose nanocrystals (CNCs), a material extracted from plants, is reported. Hydrogel sheets with vertically aligned uniform periodic structures are obtained by fixing the highly oriented chiral nematic LC of CNCs in polymer networks under the cooperative effects of gravity on phase separation and a magnetic field on LC orientation. The hydrogel generates up to sixth-order diffraction spots and shows linear polarization selectivity, with tunable grating periodicity controlled through LC concentration regulation. This synthesis strategy can be broadly applied to various grating materials and opens up a new area of optical materials from lyotropic LCs.     

Acousto-optic cell based on paratellurite crystal with surface excitation of acoustic waves

An acousto-optic cell based on a paratellurite (TeO₂) crystal, in which bulk acoustic waves are excited directly from the surface due to an intrinsic piezoelectric effect in the material, has been studied. The bulk shear acoustic waves with a frequency of 50 MHz propagate along the [001] and [110] axes with a polarization along the [ [`1]10 ]\left[ {\bar 110} \right] axis. The ultrasound has been excited by a simple system of two electrodes formed on one face of the crystal. Characteristics of the acousto-optic cell have been determined and the parameters of acoustic waves have been measured at 633 nm by optical beam diffraction on the acoustic diffraction grating.     

Morphological control and polarization switching in polymer dispersed liquid crystal materials and devices

Liquid crystals dispersed in polymer systems constitute novel class of optical materials. The precise control of the liquid crystal droplet morphology in the polymer matrix is essentially required to meet the prerequisites of display device. Experiments have been carried out to investigate and identify the material properties and processing conditions required for the precise control of the droplet morphology of the dispersed liquid crystal systems. Polarization switching has been studied. Aligned liquid crystal dispersed systems showed higher polarization over unaligned ones.     

Optical properties of permanent gratings in liquid crystal doped with dye and carbon nanotube

Permanent gratings were written in planar nematic liquid crystal cells containing E7 doped with the azo dye Methyl Red and single-wall carbon nanotubes. An order parameter of S = 0.605 shows that the dye molecules align themselves very well with the liquid crystal’s director axis. A maximum absolute diffraction efficiency of 0.39% was found for cells doped only with 0.6% MR while a maximum of 2.6% was observed for cells doped with 0.6% MR and 0.002% CNTs. The data are consistent with permanent grating formation based on trans-cis photoisomerism of the dye molecules, followed by surface adsorption of the cis-isomer that leads to homeotropic alignment in the bright regions of the light illumination pattern. The robust permanent gratings were written without the aid of an external electric field and have remained stable for over 2 years.     

Two-dimensional polarization rotator using a twisted-nematic liquid-crystal display

We present a novel configuration for a twisted-nematic liquid-crystal display (TN-LCD) that makes it operate as a controllable polarization rotator. We extend a previously reported polarization rotator configuration using a zero-twist LCD inserted between two quarter-wave plates. We first operate the TN-LCD in the polarization eigenvector configuration and show how this system can act as an equivalent voltage-controlled wave plate. Next we incorporate this wave plate into the optical rotator configuration. We show that the plane of polarization of the transmitted light can be rotated as a function of the phase introduced by the display. Finally, we create a 2D polarization mask where different areas of the TN-LCD form different polarization states. Experimental results are included.     

Creating three-dimensional lattice patterns using programmable Dammann gratings

We demonstrate the creation of a three dimensional (3D) lattice of focus spots using a 3D Dammann grating structure. Such a 3D lattice of focus spots can be used for probing 3D structures or for creating 3D photonic crystal structures in optically sensitive media. Experimental results are included where the patterns are encoded onto a programmable liquid crystal display. We demonstrate the generation of five planar arrays each having 6×6 points surrounding another set of four planar arrays each having 5×5 points with a single pattern.