Abstract

AbstractAn analysis and numerical calculation of a leaky wave propagating in a magnetic waveguide with a resistive strip grating are presented. The analysis is formulated by a matrix. A characteristic equation of the waveguide is derived by applying the Galerkin method to a resistive boundary condition expressed by a Green function in a spectrum region for a magnetic material and also by a surface current density which is expanded in terms of functions.A numerical calculation is made for a leaky region where the effect of a surface resistance and magnetic loss are considered. A step function and a function with a singularity are used in expanding a surface current density. The validity of limiting expansion terms and the convergence of solutions are discussed for not only a propagation constant but also a root mean square error of the resistive boundary condition and a surface current density.

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