Mathematical theory of surface waves in a lossy inhomogeneous dielectric waveguide of arbitrary cross section

DOI10.1134/S1995080221060263zbMath1469.78024OpenAlexW3178354876MaRDI QIDQ2039054

Yanyan Li

Publication date: 8 July 2021

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080221060263

zbMATH Keywords

spectrumMaxwell equationsnon-linear eigenvalue problemcomplex permittivityinhomogeneous waveguideoperator-functiondielectric with lossesnon-polarized electromagnetic waves

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Antennas, waveguides in optics and electromagnetic theory (78A50) Maxwell equations (35Q61)

Cites Work

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• Investigation of the spectrum of the problem of normal waves in a closed regular inhomogeneous dielectric waveguide of arbitrary cross section
• Discreteness of the spectrum in the problem on normal waves in an open inhomogeneous waveguide
• Operator function method in the problem of normal waves in an inhomogeneous waveguide
• Mathematical theory of normal waves in radially inhomogenous dielectric rod
• Analysis of the spectrum of azimuthally symmetric waves of an open inhomogeneous anisotropic waveguide with longitudinal magnetization
• Eigenwaves in waveguides with dielectric inclusions: completeness
• MATHEMATICAL THEORY OF NORMAL WAVES IN AN OPEN METAL-DIELECTRIC REGULAR WAVEGUIDE OF ARBITRARY CROSS SECTION
• Eigenwaves in a lossy metal-dielectric waveguide
• Eigenwaves in waveguides with dielectric inclusions: spectrum

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