Abstract

This paper presents a solution to the problem of symmetric wave diffraction on a set of identical periodical elements in a circular waveguide. Each period includes elementary inhomogeneities such as a ring, radial diaphragm or resistive film, and adjustable magnetodielectric spacers. The period can be equivalently characterized as a four-pole. Analytical formulas for the scattering coefficients are obtained by using matrix polynomial theory. In these formulas, the indices of Mauguin polynomials depend on the number of identical elements in the waveguide.

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