Diffraction by a half-plane perpendicular to the distinguished axis of a gyrotropic medium

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Abstract
The Wiener–Hopf–Hilbert method is used to obtain an exact solution to the problem of diffraction by a perfectly conducting half-plane in a gyrotropic medium, when the distinguished axis of the medium is perpendicular to the half-plane. The incident field is a plane wave whose direction of propagation is perpendicular to the edge of the half-plane. The problem has not previously been solved exactly. The answer is given in terms of Fourier transforms of the field components; these turn out to be simple algebraic functions. But the field quantities themselves are not, in general, expressible in terms of known functions. A few special cases are investigated and possible generalizations of the problem are mentioned.

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