On the completeness of normal waves in an inhomogeneous partially shielded dielectric layer

DOI10.1134/S1995080221060287zbMath1469.78003OpenAlexW3178847452MaRDI QIDQ2039056

Yury G. Smirnov

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/s1995080221060287

zbMATH Keywords

eigenvalue problemspectrumMaxwell's equationsoperator pencilsurface waveinhomogeneous layerdouble completenessdielectric layer

Mathematics Subject Classification ID

Spectral theory and eigenvalue problems for partial differential equations (35P99) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Waves and radiation in optics and electromagnetic theory (78A40) Maxwell equations (35Q61)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• 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
• Complex waves in dielectric layer
• On the existence of an infinite number of leaky complex waves in a dielectric layer
• Analysis of the spectrum of azimuthally symmetric waves of an open inhomogeneous anisotropic waveguide with longitudinal magnetization
• Eigenwaves in waveguides with dielectric inclusions: completeness
• Eigenwaves in waveguides with dielectric inclusions: spectrum

This page was built for publication: On the completeness of normal waves in an inhomogeneous partially shielded dielectric layer