Noncommuting Limits in Electromagnetic Scattering: Asymptotic Analysis for an Array of Highly Conducting Inclusions

DOI10.1137/S0036139999352262zbMath0979.35138MaRDI QIDQ2706099

Chris Poulton, R. C. McPhedran, Lindsay C. Botten, Nicolae-Alexandru P. Nicorovici, Alexander B. Movchan

Publication date: 19 March 2001

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

zbMATH Keywords

boundary value problemcomposite materialsHelmholtz operatorphotonic band gapshighly conducting inclusionsnoncommuting limits

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Diffraction, scattering (78A45) Boundary values of solutions to elliptic equations and elliptic systems (35J67) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

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Approximations to wave propagation through doubly-periodic arrays of scatterers ⋮ Bloch-wave homogenization for spectral asymptotic analysis of the periodic Maxwell operator ⋮ Homogenization of 3D finite photonic crystals with heterogeneous permittivity and permeability ⋮ Comparisons of finite element and Rayleigh methods for the study of conical Bloch waves in arrays of metallic cylinders ⋮ Acoustic band gaps in arrays of neutral inclusions ⋮ All-angle-negative-refraction and ultra-refraction for liquid surface waves in 2D phononic crystals ⋮ High-frequency spectral analysis of thin periodic acoustic strips: Theory and numerics ⋮ Bloch waves in periodic multi-layered acoustic waveguides

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