文献类型：期刊文献

英文题名：Extended Foldy-Lax Approximation on Multiple Scattering

作者：Liao, Jie[1];Ji, Chao[1]

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

年份：2014

卷号：19

期号：1

起止页码：85

外文期刊名：MATHEMATICAL MODELLING AND ANALYSIS

收录：;EI(收录号：20205109634009);WOS:【SCI-EXPANDED(收录号:WOS:000332408300007)】；

基金：The research is partially supported by the Fundamental Research Funds for the Central Universities and National Natural Science Foundation of China (Nos. 11301181, 11301182), and Science and Technology commission of Shanghai Municipality (No. 13ZR1453400).

语种：英文

外文关键词：multiple scattering; extended Foldy-Lax approximation; Lippmann-Schwinger; integral equation; dipole effect; self-interacting effect

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.