基于DSM-CSI的非线性逆散射算法研究

摘要

由于反演问题中散射体所处区域和散射体个数信息的缺失，进而导致非线性逆散射方法的待重构空间维数高和运算代价高。基于线性逆散射方法在重构目标区域和目标个数信息的计算代价低，本文提出一种DSM（Di-rect Sampling Method）线性方法和CSI（Contrast Source Inversion）非线性方法相结合的非线性逆散射方法。该方法利用DSM方法的重构结果为CSI方法提供散射体所处区域和散射体个数的先验信息，进而降低待重构空间的维数以及非线性逆散射问题的计算量。实验计算结果证明了该方法的有效性。%Due to the absence of information concerning the location and number of scattering objects in inverse scat-tering problem,it results in nonlinear inverse scattering method calling for high refactoring space dimension and high compu-tational cost.Based on the low computational burden with the linear inverse scattering methods in reconstructing the location and number of the targets,we propose a nonlinear inverse scattering method in this paper,which combined with DSM linear and CSI nonlinear inverse scattering methods.The reconstruction results of DSM are used as the prior information to provide the location and the number of the targets for the CSI method,which reduce the dimension of refactoring space and the a-mount of computation.Experimental results show the effectiveness of the proposed method.