摘要
本文把变形玻恩迭代方法用于求解二维轴对称道散射问题．该方法提供一种迭代收敛较快的反演成像算法．利用对称轴上２０ｋＨｚ电场的测量值在二维非均匀介质中对电导率分布进行反演．首先给出对于未知电导率分布的非线性积分方法．并用玻恩近似使积分方程线性化．然后用古洪诺夫正则化方法求出电导率分布．在选代过程中，数值模式匹配法用于求解正演场．数值实例表明，用简单的对称轴上测量场能得到很好的成像结果．
In this paper, the distorted Born iterative method is used to solve two-dimensional inverse scattering problems.This method Provides an iterative algorithm with faster convergence for inversion and imagingproblem. 'The inversion is performed for conductivity of tWo-dimensional axisymmetrically inhomogeneous medium, by using measurements on the symmetry axis at 20 kHz. The nonlinear integral equation for unknown conductivity distribution is first given, and is linearized by using Born approximahon. Then the Tikhonov regularization method is used to derive the conductivity distribution. In iteration procedure, the numerical mode matchingmethod is used to solve the forward problem. It is shown from the inversion results that the good imaging resultcan be obtained from simple field measurements at the axis points.
出处
《电子学报》
EI
CAS
CSCD
北大核心
1997年第12期100-104,111,共6页
Acta Electronica Sinica
基金
国家自然科学基金
关键词
变形玻恩迭代
逆散射
电磁波
Distorted Born iterative method,Inverse scattering, Numerical mode matching method
