Anisotropic materials are widely used in optical fiber and integrated optics, raises a need for more theoretical research Previous work carried out on these materials which are either electrically or magnetically anisotropic; used one or more coordinate Systems [48], [49], proving it to be more than cumbersome, especially with coordinate transformation alone.
This thesis used the famous coordinate-free approach in frequency domain invented by Chen [1] to study electromagnetic wave propagation from isotropic medium into magnetically uniaxial medium. By this method the tedious and difficult coordinate transformation is grealty reduced. Magnetically uniaxial medium is a special case of the magnetically anisotropic. It has a scalar permittivity, ε and a tensor permeability, [µ]; which is a three-by-three matrix with all off-diagonal elements being zeros, and two of the three on-diagonal elements equal.
First the dispersion equation for the magnetically uniaxial material is derived and solved, followed by an introduction of its wave matrix to determine the directions of electric and magnetic fields. Then wave vectors, Brewster’s angle, critical angle, energy relation, and total reflection are considered. Transmission and reflection coefficients are algebrically evaluated for certain orientation of the optic axis. To study the effect of anisotropy, the transmitted and reflected power and transmission and reflection coefficient are numerically evaluated and plotted versus the angle of incidence of the incident wave.