LCDs modeling by 2×2 and 4×4 propagation matrix methodsand by generalized geometrical optics approximation

摘要

The authors present recent results on modeling of thenelectrooptics of various LCDs (liquid crystal displays) as a function ofnapplied voltage and viewing angle by a newly formulated fast 2×2npropagation matrix method and the generalized geometrical opticsnapproximation (GGOA). Good agreement between the 2×2 and 4×4nmatrix methods and the GGOA is demonstrated. In general, GGOA's resultsnare the same as those obtained by the 2×2 method, and the maximumndiscrepancy between the 2×2 and 4×4 matrix methods is lessnthan 3%. However, the computation time for the 2×2 propagationnmatrix is less than one half that of the faster 4×4 propagationnmatrix. In addition, a simple analytic formula for calculating thenelectrooptics as a function of viewing angle is obtained. An improvedn4×4 propagation matrix method to eliminate the Fabry-Perot effectsnwas also obtained