Breakdown of cycles and the possibility of opening spectral gaps in a square lattice of thin acoustic waveguides

DOI10.1070/IM8693zbMath1406.35210OpenAlexW2810875811MaRDI QIDQ4613520

Sergueï A. Nazarov

Publication date: 1 February 2019

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

Full work available at URL: https://doi.org/10.1070/im8693

zbMATH Keywords

thresholdsspectrumcyclesboundary layergapsimproved one-dimensional modellattice of thin waveguidesNeumann problem for Laplace operator

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Eigenvalue problems for linear operators (47A75) Antennas, waveguides in optics and electromagnetic theory (78A50)

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