Detailed formulas were derived by using Yeh’s formulation of the extended 2×2 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 4×4 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 4×4 matrix. This extended Jones matrix method is fast, direct, and simple. It is also physically more intuitive.
© 1999 Optical Society of America
(000.4430) General : Numerical approximation and analysis
(080.2730) Geometric optics : Matrix methods in paraxial optics
(120.2040) Instrumentation, measurement, and metrology : Displays
(160.3710) Materials : Liquid crystals
(230.3720) Optical devices : Liquid-crystal devices
F. H. Yu and H. S. Kwok, "Comparison of extended Jones matrices for twisted nematic liquid-crystal displays at oblique angles of incidence," J. Opt. Soc. Am. A 16, 2772-2780 (1999)