Extended Foldy-Lax Approximation on Multiple Scattering

被引：2

作者：

Liao, Jie ^{[1
]}

Ji, Chao ^{[1
]}

机构：

[1] E China Univ Sci & Technol, Shanghai 200237, Peoples R China

来源：

MATHEMATICAL MODELLING AND ANALYSIS | 2014年 / 19卷 / 01期

基金：

中国国家自然科学基金;

关键词：

multiple scattering; extended Foldy-Lax approximation; Lippmann-Schwinger; integral equation; dipole effect; self-interacting effect; REDUCED WAVE-EQUATION; INVERSE PROBLEM; VIAS; FORMULATION; ACOUSTICS;

D O I：

10.3846/13926292.2014.893454

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The Foldy-Lax self-consistent system has been widely used as an efficient numerical approximation of multiple scattering of time harmonic wave through a medium with many scatterers when the relative radius of each scatterer is small and the distribution of scatterers is sparse. In this paper, an "extended" Foldy-Lax self-consistent system including both source and dipole effects as well as corrections due to the self-interacting effects will be introduced, in which the scattering amplitudes and the corrections are determined as powers of the small scaled radius. This new approach substantially improves the accuracy of the approximation of the original Foldy-Lax approach.

引用

页码：85 / 98

页数：14

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