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

Plamenevskii, B.; Poretskii, A.

doi:10.1090/spmj/1773

The Maxwell system in nonhomogeneous anisotropic waveguides with slowly stabilizing characteristics of the filling medium
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by B. A. Plamenevskii and A. S. Poretskii;
Translated by: the authors

St. Petersburg Math. J. 34 (2023), 635-693

DOI: https://doi.org/10.1090/spmj/1773

Published electronically: July 26, 2023

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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.

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