Abstract

Detailed formulas were derived by using Yeh’s formulation of the extended $2\times 2$ Jones matrix and applied to twisted nematic liquid-crystal displays at oblique angles of incidence. Numerical comparisons of this extended Jones matrix method with the exact $4\times 4$ Berreman matrix and with the extended Jones matrix of Lien are presented. The various extended Jones matrix formulations differ in their approach to boundary-condition matching between the model birefringent layers. We show that Yeh’s version is a more accurate approximation to the full $4\times 4$ matrix. This extended Jones matrix method is fast, direct, and simple. It is also physically more intuitive.

© 1999 Optical Society of America

Reflective liquid-crystal displays with asymmetric incident and exit angles

Zhibing Ge, Thomas X. Wu, Xinyu Zhu, and Shin-Tson Wu
J. Opt. Soc. Am. A 22(5) 966-977 (2005)

Extended Jones matrix method. II

Claire Gu and Pochi Yeh
J. Opt. Soc. Am. A 10(5) 966-973 (1993)

Evaluation technique of cell thickness, pretilt angle, and twist angle for guest–host liquid crystal displays

Kazuya Goda, Mami Nagasawa, Munehiro Kimura, and Tadashi Akahane
J. Opt. Soc. Am. A 30(4) 717-725 (2013)

Cell parameter measurement of a twisted nematic liquid crystal device using interferometric polarimeter under normal incidence

Meng-Han Liu, Wen-Chuan Kuo, Hsiang-Chun Wei, Chien-Chung Tsai, Chih-Jen Yu, Bau-Jy Liang, and Chien Chou
Opt. Express 18(9) 8759-8766 (2010)

Jones-matrix models for twisted-nematic liquid-crystal devices

Makoto Yamauchi
Appl. Opt. 44(21) 4484-4493 (2005)