MATHEMATICAL THEORY OF NORMAL WAVES IN AN OPEN METAL-DIELECTRIC REGULAR WAVEGUIDE OF ARBITRARY CROSS SECTION

DOI10.3846/MMA.2020.10682zbMath1476.78009OpenAlexW3024385178MaRDI QIDQ5016254

Eugene Smolkin, Yury G. Smirnov

Publication date: 13 December 2021

Published in: Mathematical Modelling and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3846/mma.2020.10682

zbMATH Keywords

Sobolev spacesMaxwell's equationsnonlinear eigenvalue problemdiscrete spectrumoperator-function

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) PDEs in connection with optics and electromagnetic theory (35Q60) Fundamental solutions to PDEs (35A08) Antennas, waveguides in optics and electromagnetic theory (78A50)

Related Items (3)

Studying the surface wave spectrum of an open inhomogeneous rectangular dielectric waveguide ⋮ Mathematical theory of surface waves in a lossy inhomogeneous dielectric waveguide of arbitrary cross section ⋮ Normal waves in an open anisotropic regular waveguide of arbitrary cross section

Cites Work

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• Theory of function spaces
• 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
• Problems of the excitation of open cylindrical resonators with an irregular boundary
• Analysis of the spectrum of azimuthally symmetric waves of an open inhomogeneous anisotropic waveguide with longitudinal magnetization
• Eigenwaves in waveguides with dielectric inclusions: completeness
• Boundary Integral Operators on Lipschitz Domains: Elementary Results
• NUMERICAL METHOD FOR ELECTROMAGNETIC WAVE PROPAGATION PROBLEM IN A CYLINDRICAL INHOMOGENEOUS METAL DIELECTRIC WAVEGUIDING STRUCTURES
• Eigenwaves in a lossy metal-dielectric waveguide
• 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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