A novel approach for modeling and simulation of electromagnetic waves in anisotropic dielectrics

The main object of this paper is the initial value problem for the time-dependent Maxwell s system with tensor dielectric permittivity describing the electromagnetic wave propagation in anisotropic dielectrics. Using the symbolic and algebraic computations in MATLAB a new method of constructing the exact solution of this initial value problem is obtained. The collection of images of electromagnetic waves in different anisotropic dielectrics is created by this method. This collection can be used for the study of properties of anisotropic dielectrics and evaluation of different computational methods.