半空间弹性波双参数强非线性逆散射

半空间弹性波强散射源逆问题是一个实用而又难度很大的强非线性问题，而经典的Born迭代方法只适用于弱非线性问题．基于DBI方法（Distorted-Born Iterative方法），提出了一种求解弹性波强非线性逆散射问题的迭代方法．在数值模拟运算时利用矩量法进行离散处理，并采用正则化原则避免求解病态矩阵方程。计算结果表明该方法具有较快的收敛速度及较高的精度。

STRONGLY NON-LINEAR INVERSE SCATTERING FOR ELASTIC PARAMETERS IN HALF-SPACE

The inversion of strong scatterer imbedded in the half-space is a practical, but very difficult problem of strong non-linearity. The Born iterative method is only suitable to weakly non-linear problems. Based on DBI(distorted Born iterative) method, an iteration algorithm is proposed for solving this kind of strongly nonlinear problems. In the numerical simulation process the moment method is employed for discretization and the resulting ill-conditioned matrix equation is solved through the regularization technique. The numerical results show that this approach can converge fast and achieve a high accuracy.