The Maxwell system in nonhomogeneous anisotropic waveguides with slowly stabilizing characteristics of the filling medium-Reference-Cited by-同舟云学术

The Maxwell system in nonhomogeneous anisotropic waveguides with slowly stabilizing characteristics of the filling medium

Published:2023-07-26 Issue:4 Volume:34 Page:635-693
ISSN:1061-0022
Container-title:St. Petersburg Mathematical Journal
language:en
Short-container-title:St. Petersburg Math. J.

Author:

Plamenevskii B.,Poretskii A.

Abstract

In a domain having several cylindrical outlets to infinity, the stationary Maxwell system with perfectly conductive boundary conditions is studied. The dielectric permittivity and magnetic permeability are assumed to be arbitrary positive definite matrix-valued functions that slowly stabilize at infinity. The authors introduce the scattering matrix, establish the unique solvability of the problem with radiation conditions at infinity, and describe the asymptotics of solutions.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Algebra and Number Theory,Analysis

Reference24 articles.

1. The Maxwell system in waveguides with several cylindrical outlets to infinity and nonhomogeneous anisotropic filling;Plamenevskiĭ, B. A.;Algebra i Analiz,2017

2. A. S. Il′inskii, V. V. Kravtsov, and A. G. Sveshnikov, Mathematical models of electrodynamics, Vysh. shkola, Moscow, 1991. (Russian)

3. T. N. Galishnikova and A. S. Il′inskii, The method of integral equations in problems of wave diffraction, MAKS Press, Moscow, 2013. (Russian)

4. On the problem of the excitation of a waveguide with a nonhomogeneous filling;Bogolyubov, A. N.;Zh. Vychisl. Mat. Mat. Fiz.,1999

5. On conditions for the solvability of the problem of the excitation of a radio waveguide;Bogolyubov, A. N.;Dokl. Akad. Nauk,2000