Discreteness of the spectrum in the problem on normal waves in an open inhomogeneous waveguide

DOI10.1134/S0012266117100032zbMath1384.78008OpenAlexW2769868049MaRDI QIDQ1701767

E. Yu. Smol'kin, Yury G. Smirnov

Publication date: 27 February 2018

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266117100032

zbMATH Keywords

discreteness of the spectrumopen inhomogeneous waveguide

Mathematics Subject Classification ID

Spectral theory and eigenvalue problems for partial differential equations (35P99) Variational methods applied to PDEs (35A15) Eigenvalue problems for linear operators (47A75) Antennas, waveguides in optics and electromagnetic theory (78A50) Waves and radiation in optics and electromagnetic theory (78A40) Maxwell equations (35Q61)

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Cites Work

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• On solving the dispersion relations for waves in guiding electrodynamic structures on the complex planes of wavenumbers
• Eigenwaves in waveguides with dielectric inclusions: completeness
• Eigenwaves in waveguides with dielectric inclusions: spectrum
• An approach to the completeness of normal waves in a waveguide with magnetodielectric filling

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