14 October 1999 Application of 2x2 and 4x4 matrices to the modeling of all nematic liquid crystal displays
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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.
© (1999) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Shu-Tuen Tang, 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); doi: 10.1117/12.365792; https://doi.org/10.1117/12.365792
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