为了方便直接利用时域测量数据,重构地下目标的电参数,将二维频域变形玻恩迭代法(BDIM)发展到时域形式.迭代反演过程中,正问题用时域有限差分(FDTD)法求解;而逆问题的病态特性由吉洪诺夫(Tikhonov)正则化技术抑制.在地下勘探应用算例中,噪声污染被加入,数值结果初步证实了改进方法的可行性.
The two-dimensional (2-D) distorted Born iterative method (DBIM) is developed from frequency domain to time domain in order to reconstruct the dielectric parameters of the underground object and directly use the time-domain meas- ured data. In the iterative inversion process, the forward problem is solved by the finite-difference time-domain (FDTD) method, while the ill-peculiarity of the corresponding inverse problem is restrained by Tikhonov's regularization technique. Furthermore, the noise pollution is considered in a numerical example of underground exploration application, and the numerical resuhs preliminarily demonstrate the feasibility of modified algorithm.