The Maxwell system in waveguides with several cylindrical ends

DOI10.1090/S1061-0022-2013-01280-5zbMath1294.35158arXiv1206.0254OpenAlexW2005748300MaRDI QIDQ5400862

A. S. Poretskii, Boris A. Plamenevsky

Publication date: 12 March 2014

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1206.0254

zbMATH Keywords

boundary conditionswaveguideselliptic extensioneigenfunctions of continuous spectrumunitary scattering matrix

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Scattering theory for PDEs (35P25) Antennas, waveguides in optics and electromagnetic theory (78A50) Maxwell equations (35Q61)

Related Items (5)

Essential spectrum for dissipative Maxwell equations in domains with cylindrical ends ⋮ A method for approximate computation of waveguide scattering matrices ⋮ The Maxwell system in waveguides with several cylindrical outlets to infinity and nonhomogeneous anisotropic filling ⋮ Maxwell operator in a cylinder with coefficients that do not depend on the longitudinal variable ⋮ Radiation and scattering in electromagnetic waveguides near thresholds

Cites Work

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• Elliptic problems in domains with piecewise smooth boundaries
• On conditions for the solvability of the problem of the excitation of a radio waveguide.
• On the problem of excitation of a waveguide filled with an inhomogeneous medium

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