Trapped modes in thin and infinite ladder like domains. Part 1: Existence results

DOI10.3233/ASY-171422zbMath1378.78029arXiv1709.06345OpenAlexW2625070545MaRDI QIDQ4589657

Elizaveta Vasilevskaya, Sonia Fliss, Patrick Joly, Bérangère Delourme

Publication date: 10 November 2017

Published in: Asymptotic Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.06345

zbMATH Keywords

periodic mediaspectral theoryquantum graphstrapped modes

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Perturbation theory of linear operators (47A55) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Antennas, waveguides in optics and electromagnetic theory (78A50) Perturbations in context of PDEs (35B20) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25) Waves and radiation in optics and electromagnetic theory (78A40)

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Modeling Acoustic Space-Coiled Metacrystals ⋮ NLS bifurcations on the bowtie combinatorial graph and the Dumbbell metric graph ⋮ Asymptotics of eigenvalues in spectral gaps of periodic waveguides with small singular perturbations ⋮ Asymptotics of the eigenvalues and eigenfunctions of a thin square Dirichlet lattice with a curved ligament ⋮ Transmission and trapping of waves in an acoustic waveguide with perforated cross-walls ⋮ High Contrast Elliptic Operators in Honeycomb Structures

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