The geometrical optics approach in liquid crystal cells with two- and three-dimensional director variations

George Y. Panasyuk; Jack R. Kelly; Philip J. Bos; Eugene C. Gartland; David W. Allender

doi:10.1117/12.530704

28 May 2004 The geometrical optics approach in liquid crystal cells with two- and three-dimensional director variations

George Y. Panasyuk, Jack R. Kelly, Philip J. Bos, Eugene C. Gartland, David W. Allender

Proceedings Volume 5289, Liquid Crystal Materials, Devices, and Applications X and Projection Displays X; (2004) https://doi.org/10.1117/12.530704
Event: Electronic Imaging 2004, 2004, San Jose, California, United States

Abstract

A geometrical optics approach (GOA) to the optics of the nematic liquid crystals whose optic axis (director) varies in two or three space dimensions is presented. Two examples of the GOA applications are considered: calculation of light transmittance (1) through a liquid crystal (LC) film with two-dimensional (2D) director which combines the concepts of in-plane switching and vertical alignment, and (2) through a three-dimensional (3D) LC cell associated with a homeotropic to multidomainlike transition (HMD cell). Important details of the GOA applications for both cases are described. The GOA results are compared with those obtained from the quasi-one-dimensional Jones calculus and the beam propagation method (BPM) where the latter is applicable. Comparison between the results of different methods of calculating the near zone electromagnetic field (the radiation at points just on the exit of the analyzer) as well as the far zone diffraction pattern is provided. It is found that the GOA is about as fast as the Jones method for calculating optical properties of LC films with any number of dimensions of director variations, yet the GOA has the advantage of being more accurate than the Jones calculus.

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George Y. Panasyuk, Jack R. Kelly, Philip J. Bos, Eugene C. Gartland, and David W. Allender "The geometrical optics approach in liquid crystal cells with two- and three-dimensional director variations", Proc. SPIE 5289, Liquid Crystal Materials, Devices, and Applications X and Projection Displays X, (28 May 2004); https://doi.org/10.1117/12.530704

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KEYWORDS

Liquid crystals

Geometrical optics

Beam propagation method

Transmittance

Diffraction

Head-mounted displays

Optical properties

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