EXTENDED FOLDY–LAX APPROXIMATION ON MULTIPLE SCATTERING

DOI10.3846/13926292.2014.893454zbMath1488.35408OpenAlexW2019711488MaRDI QIDQ5011169

Chao Ji, Jie Liao

Publication date: 27 August 2021

Published in: Mathematical Modelling and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3846/13926292.2014.893454

zbMATH Keywords

multiple scatteringLippmann-Schwinger integral equationdipole effectextended Foldy-Lax approximationself-interacting effect

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Integral representations of solutions to PDEs (35C15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Scattering theory of linear operators (47A40)

Related Items (2)

A New Class of Uniformly Stable Time-Domain Foldy–Lax Models for Scattering by Small Particles. Acoustic Sound-Soft Scattering by Circles ⋮ Approximation by multipoles of the multiple acoustic scattering by small obstacles in three dimensions and application to the Foldy theory of isotropic scattering

Cites Work

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• Generalized Foldy-Lax formulation
• An efficient algorithm for the generalized Foldy-Lax formulation
• A Two-Scale Multiple Scattering Problem
• Formulation of the inverse problem for the reduced wave equation in momentum space
• Foldy–Lax approximation on multiple scattering by many small scatterers
• Multiple Scattering of Waves. II. The Effective Field in Dense Systems
• The Multiple Scattering of Waves. I. General Theory of Isotropic Scattering by Randomly Distributed Scatterers
• Inverse acoustic and electromagnetic scattering theory

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