Spectra of nonselfadjoint eigenvalue problems for elliptic systems in mathematical models of the wave propagation in open waveguides

DOI10.1134/S1995080218080097zbMath1483.35239OpenAlexW2896207253MaRDI QIDQ1711364

Peng Zhang

Publication date: 17 January 2019

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080218080097

zbMATH Keywords

wave propagationsingularnonlinear mediaSturm-Liouvilleopen waveguides

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) General topics in linear spectral theory for PDEs (35P05) Boundary value problems for second-order elliptic systems (35J57)

Cites Work

• 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
• Eigenwaves in waveguides with dielectric inclusions: completeness
• Mathematical Analysis of the Generalized Natural Modes of an Inhomogeneous Optical Fiber
• Eigenwaves in waveguides with dielectric inclusions: spectrum

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