Open waveguides in doubly periodic junctions of domains with different limit dimensions

DOI10.1134/S0037446616060021zbMath1365.35099OpenAlexW2566052581MaRDI QIDQ515481

Sergueï A. Nazarov, Fedor L. Bakharev

Publication date: 16 March 2017

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0037446616060021

zbMATH Keywords

spectral Neumann problemdoubly periodic gridlocalized wavesopen waveguides

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Antennas, waveguides in optics and electromagnetic theory (78A50)

Cites Work

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• Spectra of open waveguides in periodic media
• Variational and asymptotic methods for finding eigenvalues below the continuous spectrum threshold
• Gaps in the spectrum of a waveguide composed of domains with different limiting dimensions
• Elliptic problems in domains with piecewise smooth boundaries
• On eigenfrequencies of bodies with thin branches. II: Asymptotics
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
• ELLIPTIC BOUNDARY VALUE PROBLEMS WITH PERIODIC COEFFICIENTS IN A CYLINDER
• The existence of resonance poles and scattering resonances in the case of boundary conditions of the second and third kind
• Binding and Scattering in Two-Dimensional Systems
• Scattering frequencies of resonators

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