Bloch Waves in an Arbitrary Two-Dimensional Lattice of Subwavelength Dirichlet Scatterers

DOI10.1137/16M107222XzbMath1459.78008arXiv1604.07792MaRDI QIDQ4596078

Ory Schnitzer, Richard V. Craster

Publication date: 8 December 2017

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.07792

zbMATH Keywords

singular perturbationsperiodic mediaBloch waves

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Diffraction, scattering (78A45) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Singular perturbations of ordinary differential equations (34D15) Waves and radiation in optics and electromagnetic theory (78A40) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Asymptotic analysis in optics and electromagnetic theory (78M35)

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