Jones matrix method for predicting and optimizing the optical modulation properties of a liquid-crystal display

Abstract

We present a simple technique for the calibration, prediction, and optimization of the optical modulation properties of a liquid-crystal display (LCD). The method is useful when there is no information about the internal fabrication parameters of the device (the orientation of liquid-crystal molecules, the twist angle, or the birefringence of the material). A complete determination of the LCD Jones matrix is accomplished by means of seven irradiance measurements for a single wavelength. This technique only requires two linear polarizers and one quarter-wave plate. Once the Jones matrix has been calibrated, the amplitude, phase, and polarization modulation response can be predicted. Therefore, it can be optimized through the control of the polarization configuration. The validity of the proposed method is experimentally probed. Finally, we present a particular application to produce phase-only modulation.

Study of Liquid Crystal on Silicon Displays for Their Application in Digital Holography

“…A general expression for the total phase  of a LCD inserted between two polarizers (whose orientations are  1 and  2 respectively) is provided in Ref. (Moreno et al, 2003):…”

“…We follow the technique proposed in Ref. (Moreno et al, 2003), being suitable to predict the phase response in LCDs. This technique considers that any non-absorbing reciprocal polarization device can be described by an unimodular unitary Jones matrix (Fernández-Pousa et al, 2000), the TNLCoS displays being a particular case.…”

Low-cost liquid crystal display optimized as a monopixel coherent modulator

“…17 to describe this profile. This model provides very accurate calculations of amplitude and phase modulation provided by LCDs [18][19][20] .…”

“…A series of reverse engineering models, based on the Jones matrix formalism for polarized light, have been proposed [15][16][17] to describe the modulation of the anisotropic properties of the LC layer as a function of the applied voltage. Other approaches consider the LCD as a black box and concentrate on the numerical evaluation of the matrix elements of the Jones matrix describing the LCD 18 . Among the reverse engineering models, the one proposed in Ref.…”

Polarimetric Measurement of Jones Matrix of a Twisted Nematic Liquid Crystal Spatial Light Modulator

“…The goal of this study is to determine the signs as well as the absolute values of the matrix elements can be determined by polarimetric methods experimentally, but it has been thought that the signs of the elements can not be determined uniquely by polarimetric methods only. However it has been shown that the signs can be determined by polarimetric methods [11].…”