Operator function method in the problem of normal waves in an inhomogeneous waveguide

DOI10.1134/S0012266118090057zbMath1414.78010OpenAlexW2897616507MaRDI QIDQ1711281

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

Publication date: 17 January 2019

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

Full work available at URL: https://doi.org/10.1134/s0012266118090057

zbMATH Keywords

eigenvalue problemwaveguidesoperator functions

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Eigenvalues, singular values, and eigenvectors (15A18) Eigenvalue problems for linear operators (47A75) Antennas, waveguides in optics and electromagnetic theory (78A50) Waves and radiation in optics and electromagnetic theory (78A40) Spectral, collocation and related methods applied to problems in optics and electromagnetic theory (78M22)

Related Items (7)

Discreteness of the leaky wave spectrum of an open inhomogeneous metal-dielectric circular-section waveguide ⋮ Complex waves in dielectric layer ⋮ Studying the surface wave spectrum of an open inhomogeneous rectangular dielectric waveguide ⋮ Existence of an infinite spectrum of damped leaky TE waves in an open inhomogeneous cylindrical metal-dielectric waveguide ⋮ Mathematical theory of surface waves in a lossy inhomogeneous dielectric waveguide of arbitrary cross section ⋮ On the completeness of normal waves in an inhomogeneous partially shielded dielectric layer ⋮ MATHEMATICAL THEORY OF NORMAL WAVES IN AN OPEN METAL-DIELECTRIC REGULAR WAVEGUIDE OF ARBITRARY CROSS SECTION

Cites Work

• Unnamed Item
• Completeness of root vectors of a Keldysh pencil perturbed by an analytic operator-valued function \(s(\lambda)\) with \(S(\infty)=0\)
• 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
• Boundary Integral Operators on Lipschitz Domains: Elementary Results
• Differential Topology
• The statement and solubility of boundary-value problems for Maxwell's equations in a cylinder
• An approach to the completeness of normal waves in a waveguide with magnetodielectric filling

This page was built for publication: Operator function method in the problem of normal waves in an inhomogeneous waveguide