Studying the surface wave spectrum of an open inhomogeneous rectangular dielectric waveguide

DOI10.1134/S0012266121090044zbMath1478.78046OpenAlexW3208798185WikidataQ115249395 ScholiaQ115249395MaRDI QIDQ2244102

E. Yu. Smol'kin

Publication date: 11 November 2021

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

Full work available at URL: https://doi.org/10.1134/s0012266121090044

zbMATH Keywords

eigenvalue problemsurface waveswaveguide

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) PDEs in connection with optics and electromagnetic theory (35Q60) Antennas, waveguides in optics and electromagnetic theory (78A50) Waves and radiation in optics and electromagnetic theory (78A40)

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
• Problems of the excitation of open cylindrical resonators with an irregular boundary
• Differential Topology
• MATHEMATICAL THEORY OF NORMAL WAVES IN AN OPEN METAL-DIELECTRIC REGULAR WAVEGUIDE OF ARBITRARY CROSS SECTION
• An approach to the completeness of normal waves in a waveguide with magnetodielectric filling

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