Application of 2x2 and 4x4 matrices to the modeling of all nematic liquid crystal displays

Shu-Tuen Tang; HoiSing Kwok

doi:10.1117/12.365792

14 October 1999 Application of 2x2 and 4x4 matrices to the modeling of all nematic liquid crystal displays

Shu-Tuen Tang, HoiSing Kwok

Proceedings Volume 3800, Liquid Crystals III; (1999) https://doi.org/10.1117/12.365792
Event: SPIE's International Symposium on Optical Science, Engineering, and Instrumentation, 1999, Denver, CO, United States

Abstract

The 2 X 2 Jones matrix and 4 X 4 Mueller matrix methods are used as computational tools for LCD quiescent state optical mode design. Matrices of a general twisted nematic (GTN) LC cell and some basic optical components are given. The transmission or reflection of a GTN cell can be calculated easily by using these matrices. A parameter space approach of designing LCDs is described, by which many GTN optical modes are revealed with information on their transmittance/reflectance, dispersion and also cell gap tolerance. The 4 X 4 Mueller matrix is introduced both as an alternative to the Jones matrix calculation and an efficient tool for investigating GTN cell polarization transformation. A polarization transformation switching scheme is proposed to explain all GTN display operations. New bistable twisted nematic modes are invented by considering horizontal switching of linear polarization preservation modes.

Citation Download Citation

Shu-Tuen Tang and HoiSing Kwok "Application of 2x2 and 4x4 matrices to the modeling of all nematic liquid crystal displays", Proc. SPIE 3800, Liquid Crystals III, (14 October 1999); https://doi.org/10.1117/12.365792

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