Simple wave solutions for the Maxwell equations in bianisotropic, nonlinear media, with application to oblique incidence

Using simple waves and six-vector formalism, the propagation of electromagnetic waves in nonlinear, bianisotropic, nondispersive, homogeneous media is analyzed. The Maxwell equations are formulated as an eigenvalue problem, whose solutions are equivalent to the characteristic directions of the wave front. Oblique incidence of plane waves in vacuum on a half space of nonlinear material is solved, giving reflection and transmission operators for all angles of incidence and all polarizations of the incident field. A condition on Brewster angles is derived.

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