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JOURNALS // University proceedings. Volga region. Physical and mathematical sciences // Archive

University proceedings. Volga region. Physical and mathematical sciences, 2021 Issue 2, Pages 63–76 (Mi ivpnz29)

Mathematics

Numerical method for solving the problem of TE-waves in the Goubau line

E. Yu. Smol'kin, V. Yu. Martynova

Penza State University, Penza, Russia

Abstract: Background. The problems of electromagnetic wave propagation in open metal-dielectric structures are important in the study of waveguides. The purpose of the article is to numerically study a problem of the leaky and surface TE-electromagnetic wave propagation in the Goubau line. Material and methods. A numerical method for solving the problem is based on a version of the parameter shooting method. Results. A numerical method for solving the propagation problem of the leaky and surface TE-electromagnetic waves in the Goubau line was developed and implemented, and several numerical experiments were carried out. Conclusions. The developed method allows one to classify electromagnetic TE-waves in the Goubau line.

Keywords: propagation problem of electromagnetic waves, TE-waves, Maxwell's equation, differential equations, Goubau line, shooting method.

UDC: 517.958; 519.63; 621.372.8

DOI: 10.21685/2072-3040-2021-2-5



© Steklov Math. Inst. of RAS, 2026