Open waveguides in a thin Dirichlet lattice. II: Localized waves and radiation conditions

DOI10.1134/S0965542517020129zbMath1434.78020OpenAlexW2594122824MaRDI QIDQ2359068

Sergueï A. Nazarov

Publication date: 27 June 2017

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542517020129

zbMATH Keywords

square latticeopen waveguidesasymptotic representations of wave fieldsDirichlet problem for Helmholtz equationUmov-Mandelstam principle

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Antennas, waveguides in optics and electromagnetic theory (78A50) Waves and radiation in optics and electromagnetic theory (78A40) Asymptotic analysis in optics and electromagnetic theory (78M35) Quantum dots, waveguides, ratchets, etc. (81Q37) Quantum waveguides, quantum wires (82D77)

Related Items (2)

Effects of Rayleigh waves on the essential spectrum in perturbed doubly periodic elliptic problems ⋮ Asymptotics of the eigenvalues and eigenfunctions of a thin square Dirichlet lattice with a curved ligament

Cites Work

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