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A regularization method in the electromagnetic inverse scattering problem
引用本文:XIONG Xiaoyun,ZHAO Yanwen and NIE Zaiping (School of Electronic Engineering,University of Electronic Science and Technology of China,Chengdu 610054,China). A regularization method in the electromagnetic inverse scattering problem[J]. 自然科学进展(英文版), 2007, 17(3): 346-351
作者姓名:XIONG Xiaoyun  ZHAO Yanwen and NIE Zaiping (School of Electronic Engineering  University of Electronic Science and Technology of China  Chengdu 610054  China)
作者单位:School of Electronic Engineering,University of Electronic Science and Technology of China,Chengdu 610054,China
摘    要:Based on the normalization of measurement data equations of the inverse scattering problem, a new regularization matrix is proposed. It can eliminate the unfavorable effects caused by difference of distances between field-point or source-point and target region, reduce the loss of useful information in regularization procedure, and decrease condition numbers of the ill-posed problems. Inversion for conductivity distribution of two-dimensional axisymmetric inhomogeneous media is carried out by combing this new regularization method with distorted Born iterative method. Simulation results show that compared with the conventional method, the new regularization method is of better stability, quicker convergence, higher accuracy of inversion and higher resolution.


A regularization method in the electromagnetic inverse scattering problem
XIONG Xiaoyun,ZHAO Yanwen,NIE Zaiping. A regularization method in the electromagnetic inverse scattering problem[J]. Progress in Natural Science, 2007, 17(3): 346-351
Authors:XIONG Xiaoyun  ZHAO Yanwen  NIE Zaiping
Abstract:Based on the normalization of measurement data equations of the inverse scattering problem, a new regularization matrix is proposed. It can eliminate the unfavorable effects caused by difference of distances between field-point or source-point and target region, reduce the loss of useful information in regularization procedure, and decrease condition numbers of the ill-posed problems. Inversion for conductivity distribution of two-dimensional axisymmetric inhomogeneous media is carried out by combing this new regularization method with distorted Born iterative method. Simulation results show that compared with the conventional method, the new regularization method is of better stability, quicker convergence, higher accuracy of inversion and higher resolution.
Keywords:inverse scattering  regularization  distorted Born iterative method
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