Calculation of Transmission Characteristics of Smoothly Inhomogeneous Anisotropic Media in the Approximation Of Negligible Smallness of the Bulk Reflection: III. Analytical Solutions

摘要

The situations are considered in which the differential equation for calculating the transmission 2 * 2 matrix of a smoothly inhomogeneous anisotropic medium in the approximation of negligible smallness of the bulk reflection (NSBR) can be solved analytically. The general expression for this matrix is obtained for the case of normal incidence of light on an arbitrary ideally twisted optically locally centrosymmetric medium. It is shown that, under certain conditions of normalization of the eigenwave basis, the solutions obtained in the NSBR approximation are as simple as those obtained in the approximation of a small anisotropy, but the accuracy of the former solutions is significantly greater. It was shown that, generally, the determinant of the transmission 2 * 2 matrix of a smoothly inhomogeneous anisotropic medium can be expressed in terms of the parameters of the eigenwave basis, while, in the case of a locally inhomogeneous anisotropic medium, this value is expressed in terms of the parameters of the medium. This circumstance can be used in solving inverse problems.