Mathematics

Numerical study of the spectrum of complex waves of a plane waveguide

M. O. Snegur

Penza State University, Penza, Russia

Abstract: Background. The purpose of this work is to study the process of propagation of TE-electromagnetic waves in a plane waveguide. Material and methods. To obtain a numerical solution to the problem, we used the method of the auxiliary Cauchy problem. Results. A method for analyzing the spectrum of waves in an inhomogeneous wave structure has been developed. Conclusions. This method is an effective way to analyze the propagation of TE-polarized electromagnetic waves.

Keywords: propagation problem of electromagnetic waves, TE-waves, Maxwell's equation, differential equations, dielectric layer, dielectric layer with absorption.

UDC: 519.63: 621.372.8

DOI: 10.21685/2072-3040-2021-4-4