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This paper gives a theoretical analysis for the geometrical configuration of a metallic strip deposited on ferrite film, which is available for MSSW (magnetostatic surface wave) waveguide. Dispersion curves and magnetic potential distributions are presented when the metallic strip of 100 μm wide is placed on the ferrite film of 10 μm thick. Since MSSW propagates along either the top surface with the strip, or the bottom face with no strip depending on its propagating direction, a strip-guided mode is nonreciprocal in the energy trapping effects, the number of guided modes, and the frequency bands.

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A new method for solving periodic boundary value problems in nonreciprocal wave propagation is described. A characteristic function 0 and its complementary function 0 are introduced after the particular problem has been reduced to a Riemann-Hilbert boundary value problem based on complex variable theory. The Taylor coefficients n and n of 0 and 0 , 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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