Eigenequations and compact algorithms for bulk and layered anisotropic optical media: reflection and refraction at a crystal-crystal interface

摘要

Eigenequations leading to compact algorithms for computing the optical properties of anisotropic media that may be stratified in the x-direction are described. For each medium a 4 x4 matrix F of basis field vectors is determined as the eigenvectors of a 4x4 matrix form of Fresnel's equation. A minimum sort of the columns of F that is necessary for a birefringent cover or substrate separates basis vectors hat carry power in the positive and negative x-direc- tions respectively. A sorting procedure is discussed for the most complicated refractive index section in which the outer and inner sheets do not touch and the outer sheet has a well defined cusp. MATLAB code is provided for the implementation of basic Routines.