Abstract

A new method for solving periodic boundary value problems in nonreciprocal wave propagation is described. A characteristic function χ0 and its complementary function χ̃0 are introduced after the particular problem has been reduced to a Riemann–Hilbert boundary value problem based on complex variable theory. The Taylor coefficients νn and ν̃n of χ0 and χ̃0,respectively, compose a system of linear equations to deduce a characteristic equation. A numerical example is presented for magnetostatic surface waves propagating in a ferrite film on which metallic stripes are deposited periodically.

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