Gap opening around a given point of the spectrum of a cylindrical waveguide by means of a gentle periodic perturbation of walls

DOI10.1007/S10958-015-2312-XzbMath1348.35148OpenAlexW2011677240MaRDI QIDQ280876

Sergueï A. Nazarov

Publication date: 10 May 2016

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-015-2312-x

zbMATH Keywords

band-gap engineeringwaveguide spectrum

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Periodic solutions to PDEs (35B10) General topics in linear spectral theory for PDEs (35P05) Asymptotic expansions of solutions to PDEs (35C20) Linear waves in solid mechanics (74J05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Antennas, waveguides in optics and electromagnetic theory (78A50) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Linear higher-order PDEs (35G05)

Related Items (1)

Spectrum of a singularly perturbed periodic thin waveguide

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