Eigenwaves in waveguides with dielectric inclusions: completeness

DOI10.1080/00036811.2013.850494zbMath1301.78006arXiv1209.5525OpenAlexW2592858100MaRDI QIDQ3191890

Yu. V. Shestopalov, Yury G. Smirnov

Publication date: 25 September 2014

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1209.5525

zbMATH Keywords

spectrumcompletenessbasiswaveguidepencileigenwave

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Spectrum, resolvent (47A10) Antennas, waveguides in optics and electromagnetic theory (78A50) Electromagnetic fields in general relativity and gravitational theory (83C50) Waves and radiation in optics and electromagnetic theory (78A40) Boundary value and inverse problems for harmonic functions in higher dimensions (31B20) Singular integral equations (45E99) Spectral, collocation and related methods applied to problems in optics and electromagnetic theory (78M22)

Related Items (12)

Mathematical theory of leaky waves in an anisotropic waveguide ⋮ The method of integral variational relations in the problem of eigenwaves of a plane dielectric layer coated with graphene ⋮ Discreteness of the spectrum in the problem on normal waves in an open inhomogeneous waveguide ⋮ Complex waves in dielectric layer ⋮ Mathematical theory of normal waves in an anisotropic rod ⋮ Spectra of nonselfadjoint eigenvalue problems for elliptic systems in mathematical models of the wave propagation in open waveguides ⋮ 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

• Non-homogeneous media and vibration theory
• Spectral theory of holomorphic operator-functions in Hilbert space
• MULTIPLE COMPLETENESS OF ROOT VECTORS OF A KELDYŠ PENCIL PERTURBED BY AN OPERATOR-VALUED FUNCTION ANALYTIC IN A DISC
• Eigenwaves in waveguides with dielectric inclusions: spectrum
• ON THE COMPLETENESS OF THE EIGENFUNCTIONS OF SOME CLASSES OF NON-SELFADJOINT LINEAR OPERATORS

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