Substantiation of the Spectral Method for Calculating Propagation Constants for Waveguides with Microstrip and Slit Lines

Abstract

We prove the spectral method for calculating the propagation constants of normal waves in screened waveguides with an irregular cross-section and a nonhomogeneous filling. The problem is reduced to the nonlinear spectral problem for operator-functions in a Hilbert space. Existence theorems are proved for spectral points and the cutoff method is substantiated.