Research on Solution Stability of Iterative Methods in Limited-Angle Inverse Scattering Problem

摘要

1.Introduction Although the iterative methods are applied to solve the one-dimensional inverse scattering problem for many years[1,2],the Born iterative method (BIM) and the distorted Born iterative method (DBIM) have been applied to solve the more general higher dimensional inverse scattering problem only recently [3,4].In many low-frequency inverse scattering problems,the electric parameter distribution of a given object region needs to be reconstructed in background media with complicated twodimensional inhomogeneity. If the Green's function in the background medium is obtained,the reconstruction of electric parameters in the object region can be performed by the inversion of electromagnetic integral equation[1].Liu[5] employed the DBIM to invert the EM response and potential response in twodimensional axisymmetric inhomogeneous media and obtained the conductivity distribution in the object region. However,the EM response data in the practical engineering problem is always contaminated by noises. Therefore,the solution stability in the inverse scattering problem and the antidisturbance have become a key research topic.