Investigation of the spectrum of the problem of normal waves in a closed regular inhomogeneous dielectric waveguide of arbitrary cross section

DOI10.1134/S1064562418010271zbMath1397.78043OpenAlexW2790904472WikidataQ130120308 ScholiaQ130120308MaRDI QIDQ1643784

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

Publication date: 20 June 2018

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562418010271

zbMATH Keywords

electromagnetic fielddielectric wave-guidenormal wave

Mathematics Subject Classification ID

Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Antennas, waveguides in optics and electromagnetic theory (78A50) Waves and radiation in optics and electromagnetic theory (78A40) Variational methods applied to problems in optics and electromagnetic theory (78M30)

Related Items (16)

Analysis of the spectrum of azimuthally symmetric waves of an open inhomogeneous anisotropic waveguide with longitudinal magnetization ⋮ Mathematical theory of leaky waves in an anisotropic waveguide ⋮ Discreteness of the leaky wave spectrum of an open inhomogeneous metal-dielectric circular-section waveguide ⋮ Complex waves in dielectric layer ⋮ Mathematical theory of normal waves in an anisotropic rod ⋮ Operator function method in the problem of normal waves in an inhomogeneous waveguide ⋮ Spectra of nonselfadjoint eigenvalue problems for elliptic systems in mathematical models of the wave propagation in open waveguides ⋮ Eigenwaves in Sommerfeld-Goubau line: spectrum ⋮ 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 normal waves in radially inhomogenous dielectric rod ⋮ 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 ⋮ Normal waves in an open anisotropic regular waveguide of arbitrary cross section ⋮ Eigenwaves in a lossy metal-dielectric waveguide ⋮ MATHEMATICAL THEORY OF NORMAL WAVES IN AN OPEN METAL-DIELECTRIC REGULAR WAVEGUIDE OF ARBITRARY CROSS SECTION

Cites Work

• Completeness of root vectors of a Keldysh pencil perturbed by an analytic operator-valued function \(s(\lambda)\) with \(S(\infty)=0\)
• Boundary Integral Operators on Lipschitz Domains: Elementary Results
• The statement and solubility of boundary-value problems for Maxwell's equations in a cylinder
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