A multipole-expansion based linear sampling method for solving inverse scattering problems.
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.
Agarwal
Krishna
K
Department of Electrical and Computer Engineering, National University of Singapore, Singapore 117576. g0600069@nus.edu.sg
Chen
Xudong
X
Zhong
Yu
Y
D000465:Algorithms; D003198:Computer Simulation; D008027:Light; D016014:Linear Models; D009391:Nephelometry and Turbidimetry / Q000379:methods*; D012542:Scattering, Radiation