Plane Wave Solutions to the Equations of Electrodynamics in an Anisotropic Medium
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Under examination is the system of equations of electrodynamics for a nonconducting nonmagnetic medium with the simplest anisotropy of permittivity. We assume that permittivity is characterized by the diagonal matrix ϵ = diag(ε1, ε1, ε2), with the functions ε1 and ε2 equal to positive constants beyond a bounded convex domain Ω ⊂ ℝ3. Two modes of traveling plane waves exist in a homogeneous anisotropic medium. The structure is studied of the solutions related to the traveling plane waves incident from infinity on an inhomogeneity located in Ω.
KeywordsMaxwell’s equations anisotropy plane wave structure of a solution
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