The Method of Integral Equations in Problems of Wave Diffraction in Waveguides

Abstract

This paper studies the propagation of steady-state oscillations in an irregular rectangular waveguide. The irregularity of the waveguide is caused by the presence inside it of a metallic inclusion in the form of a cylindrical inductive cylinder. To solve the problem in a complete electrodynamic formulation, it is necessary to investigate the boundary problem for the system of Maxwell equations. To study the waveguide system consisting of a waveguide with a well-conducting inclusion, the method of integral equations was applied. The cores of the integral equations are defined through the Green functions of the unfilled waveguide, written in terms of the waveguide modes. Algorithms for their calculation are developed on the basis of the selection of a logarithmic singularity, and algorithms for summing up the series belonging to them are created. The possibilities of the method of integral equations are illustrated with examples of calculating the reflection and transmission coefficients from inductive pins.