Open AccessA multipole-expansion based linear sampling method for solving inverse scattering problems
Author(s) -
Krishna Agarwal,
Xudong Chen,
Yu Zhong
Publication year - 2010
Publication title -
optics express
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.394
H-Index - 271
ISSN - 1094-4087
DOI - 10.1364/oe.18.006366
Subject(s) - multipole expansion , fast multipole method , inverse problem , scattering , physics , gaussian , regularization (linguistics) , sampling (signal processing) , truncation (statistics) , dipole , magnetic monopole , optics , mathematics , mathematical analysis , computer science , statistics , quantum mechanics , artificial intelligence , detector
Linear sampling method (LSM) is a qualitative method used to reconstruct the support of scatterers. This paper presents a modification of the LSM approach. The proposed method analyses the multipole expansion of the scattered field. Only monopole and dipole terms are used for the reconstruction of the scatterer support and all other higher order multipoles are truncated. It is shown that such modification performs better than the mathematical regularization typically used in LSM. The justification for truncation of higher order multipoles is presented. Various examples are presented to demonstrate the performance of the proposed method for dielectric as well as perfectly conducting scatterers in presence of significant amount of additive Gaussian noise.