Mathematical Problems of Radiation and Propagation in Electromagnetic Waveguides
- Authors: Delitsyn A.L.1,2
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Affiliations:
- Kharkevich Institute for Information Transmission Problems, Russian Academy of Sciences
- National Research University Higher School of Economics
- Issue: Vol 64, No 12 (2019)
- Pages: 1323-1338
- Section: Electrodynamics and Wave Propagation
- URL: https://journals.rcsi.science/1064-2269/article/view/201602
- DOI: https://doi.org/10.1134/S1064226919110068
- ID: 201602
Cite item
Abstract
The radiation problem in a regular waveguide with inhomogeneous filling and the scattering problem in a hollow irregular waveguide are considered. The completeness of the system of waveguide root vectors is proven. The radiation conditions are set and the solvability of the excitation problem is established. The dispersion curves of the waveguide with anisotropic filling are analyzed. The singular points of dispersion curves are considered. The excitation problem for a waveguide in a resonance regimen is investigated. The embedding theorems for the vector fields are proven. The solvability of the scattering problem in a waveguide is established.
About the authors
A. L. Delitsyn
Kharkevich Institute for Information Transmission Problems, Russian Academy of Sciences; National Research University Higher School of Economics
Author for correspondence.
Email: delitsyn@mail.ru
Russian Federation, Moscow, 127051 ; Moscow, 125319