Jones matrix model with field angle effects for a liquid crystal variable retarder

Xiao, Xifeng; Voelz, David G.

doi:10.1117/12.619545

Cited by 3 publications

(2 citation statements)

References 13 publications

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“…where β is the molecule tilt angle of the liquid crystal. To illustrate the characteristics of the tilt angle, we use a general expression for the molecule tilt angle of a liquid crystal as a function of the applied voltage, [29]…”

Section: Interference Model Of Lcvrmentioning

confidence: 99%

Interference effect on the liquid-crystal-based Stokes polarimeter*

et al. 2020

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The Stokes polarimeter based on liquid crystal variable retarders (LCVRs) is envisaged as a promising novel technique for polarization measurement in space applications due to the inherent advantage of eliminating the need for conventional rotating polarizing optics and increasing the measuring speed. However, the intrinsic multi-beam interference in LCVRs limits its polarization accuracy by several percent. How to eliminate the influence of the interference effect becomes an urgent issue for the liquid-crystal-based Stokes polarimeter. The present study introduces a simplified but effective interference model based on the thin-film optics and polarized light theory to simulate the relationship between the interference effect of the LCVRs-based Stokes polarimeter and the polarization accuracy. The simulation results show that the transmittance variation of LCVR with the derived voltage is caused by multi beam interference between the indium tin oxide (ITO) film and the liquid crystal within LCVR, which produces a few percent of instrumental polarization. The instrumental polarization is about 0.01 and different for different wavelengths. An optimization method was proposed to reduce the instrumental polarization to 0.002, effectively improving the polarization sensitivity of the Stokes polarimeter limited by the interference. In addition, an experimental setup was built up to measure and analyze the influence of the interference effect of the LCVRs-based Stokes polarimeter on the polarization accuracy before and after the optimization. The experiment results are in good agreement with the simulation.

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Section: Interference Model Of Lcvrmentioning

confidence: 99%

Interference effect on the liquid-crystal-based Stokes polarimeter*

et al. 2020

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“…[10][11][12] In the Jones formalism, the optical system can be described by a 2 ϫ 2 complex matrix whose elements operate on fully polarized light represented by a 2-D complex vector. 13 Although the classic Jones formalism is limited to normally incident light, Lien developed an extended Jones matrix ͑EJM͒ method and applied this to liquid crystal displays when the effect of reflection is neglected.…”

Section: Introductionmentioning

confidence: 99%

Liquid crystal variable retarder modeling of incident angle response with experimental verification

Xiao

Voelz

2008

Opt. Eng

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The nematic liquid crystal variable retarder is a useful device for examining the polarization properties of optical components and material samples as well as for remote sensing applications. The response of the retarder to oblique ray angles is important in applications requiring a finite field of view such as imaging polarimetry. Mueller matrices that describe the response to incident angle are developed in two ways using an extended Jones matrix approach and through an alteration of a standard Stokes Mueller matrix for a retarder. Comparisons of the model results with lab measurements show good agreement, although with some differences due to varying assumptions in the models and nonideal aspects of the actual variable retarder. We provide analytical models that can be applied relatively easily to examine the effects of oblique angles in systems using liquid crystal variable retarders.

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Three-dimensional instrument polarization analysis and optimization of liquid-crystal-based Stokes polarimeter

Jing-Jie,

Xu-Sheng,

Jun-Feng

et al. 2023

Appl. Opt.

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The Stokes polarimeter based on liquid crystal variable retarders (LCVRs) is a space polarization measurement technology widely used. However, due to the tilt of the optic axis of the LCVR with the driving voltage in the direction of light propagation and the interference in LCVR, the LCVRs-based Stokes polarimeter produces a large instrument polarization, which affects the accurate polarization measurement. In this paper, we combine polarization ray tracing with multi-beam interference, and establish a general three-dimensional polarization analysis model of the LCVRs-based Stokes polarimeter. The simulation results of adjusting the LCVR voltage to reduce the instrument polarization are analyzed, and the variation of polarization measurement accuracy with the field of view before and after optimization of the LCVRs-based Stokes polarimeter is simulated and analyzed. A LCVR structure with additional films for matching the refractive index is proposed. According to the simulation results, this structure can significantly reduce the interference effects and reduce the impact of variations in liquid crystal layer thickness on the interference effects.

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Jones matrix model with field angle effects for a liquid crystal variable retarder

Cited by 3 publications

References 13 publications

Interference effect on the liquid-crystal-based Stokes polarimeter*

Interference effect on the liquid-crystal-based Stokes polarimeter*

Liquid crystal variable retarder modeling of incident angle response with experimental verification

Three-dimensional instrument polarization analysis and optimization of liquid-crystal-based Stokes polarimeter

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