Waves around almost periodic arrangements of scatterers: Analysis of positional disorder

DOI10.1002/mma.1333zbMath1208.78017OpenAlexW2057894586MaRDI QIDQ3068382

Paul A. Martin, Agnès Maurel

Publication date: 14 January 2011

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.1333

zbMATH Keywords

homogenizationdiffractionscattering (optics)

Mathematics Subject Classification ID

Diffraction, scattering (78A45) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items (2)

Bloch Waves in an Arbitrary Two-Dimensional Lattice of Subwavelength Dirichlet Scatterers ⋮ Effective propagation in a one-dimensional perturbed periodic structure: comparison of several approaches

Cites Work

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• Multiple scattering by random configurations of circular cylinders: weak scattering without closure assumptions
• Variational estimates for dispersion and attenuation of waves in random composites. I. General theory
• Lattice sums and the two-dimensional, periodic Green's function for the Helmholtz equation
• Approximations to wave propagation through a lattice of Dirichlet scatterers
• Approximations to wave propagation through doubly-periodic arrays of scatterers

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