Ij. Hodgkinson et al., EIGENEQUATIONS AND COMPACT ALGORITHMS FOR BULK AND LAYERED ANISOTROPIC OPTICAL MEDIA - REFLECTION AND REFRACTION AT A CRYSTAL-CRYSTAL INTERFACE, Journal of computational physics, 133(1), 1997, pp. 75-83
Eigenequations leading to compact algorithms for computing the optical
properties of anisotropic media that may be stratified in the x-direc
tion are described. For each medium a 4 x 4 matrix (F) over cap of bas
is field vectors is determined as the eigenvectors of a 4 x 4 matrix f
orm of Fresnel's equation. A minimum sort of the columns of (F) over c
ap that is necessary for a birefringent cover or substrate separates b
asis vectors that carry power in the positive and negative x-direction
s respectively. A sorting procedure is discussed for the most complica
ted refractive index section in which the outer and inner sheets do no
t touch and the outer sheet has a well defined cusp. MATLAB code is pr
ovided for the implementation of basic routines. (C) 1997 Academic Pre
ss.