Wave scattering by small bodies and creating materials with a desired refraction coefficient

DOI10.1007/s13370-011-0004-3zbMath1302.35138arXiv1012.2775OpenAlexW2130825978MaRDI QIDQ351532

Alexander G. Ramm

Publication date: 8 July 2013

Published in: Afrika Matematika (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1012.2775

zbMATH Keywords

wave scatteringmetamaterialssmall scatterersnegative refractionwave focusing

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Numerical methods for integral equations (65R20) Wave scattering in solid mechanics (74J20) Diffraction, scattering (78A45) Hydro- and aero-acoustics (76Q05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Applications to the sciences (65Z05) Homogenization and oscillations in dynamical problems of solid mechanics (74Q10)

Related Items (10)

The Foldy-Lax approximation of the scattered waves by many small bodies for the Lamé system ⋮ Scattering of electromagnetic waves by many small perfectly conducting or impedance bodies ⋮ Wave scattering by many small bodies: transmission boundary conditions ⋮ Scattering of electromagnetic waves by many nano-wires ⋮ Many-body wave scattering problems in the case of small scatterers ⋮ Electromagnetic wave scattering by small impedance particles of an arbitrary shape ⋮ Approximation by multipoles of the multiple acoustic scattering by small obstacles in three dimensions and application to the Foldy theory of isotropic scattering ⋮ On the Justification of the Foldy--Lax Approximation for the Acoustic Scattering by Small Rigid Bodies of Arbitrary Shapes ⋮ Wave scattering by many small bodies and applications ⋮ Wave scattering by many small impedance particles and applications

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