Reflection and Refraction of Plane Waves from Plane Ferrite Surfaces

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Abstract
Wave vector surfaces, phase velocity surfaces, and ray velocity surfaces have been evaluated for electromagnetic waves traveling through magnetized ferrite. These surfaces are shown to have unique shapes depending upon the precessional, magnetization, and excitation frequencies. Double refraction of the waves occur at the interface between different ferrites. A transcendental equation for determining the angle of transmission is presented and a discussion is made on the possibility of total reflection. Since the direction of propagation, boundary surface normal, and direction of magnetization each present a degree of freedom to the incident plane wave problem a general set of coordinates is introduced that takes into account their relative orientation. The two cases for which the static magnetization is parallel and perpendicular to the plane of incidence is solved in detail and expressions are given for the reflection and transmission coefficients. It is shown that for the parallel magnetic polarization case the reflected component of the electric vector can be eliminated if the incident wave strikes the boundary plane at a magnetically dependent Brewster angle.

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