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A regularization method in the electromagnetic inverse scattering problem
引用本文:XIONG Xiaoyun,ZHAO Yanwen,NIE Zaiping. A regularization method in the electromagnetic inverse scattering problem[J]. 自然科学进展, 2007, 17(3): 346-351
作者姓名:XIONG Xiaoyun  ZHAO Yanwen  NIE Zaiping
作者单位:School of Electronic Engineering,University of Electronic Science and Technology of China,Chengdu 610054,China
基金项目:Supported by National Natural Science Foundation of China (Grant No. 60571002)
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]. , 2007, 17(3): 346-351
Authors:XIONG Xiaoyun  ZHAO Yanwen  NIE Zaiping
Affiliation:School of Electronic Engineering, University of Electronic Science and Technology of China, Chengdu 610054, China
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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