Publications [#283849] of Qing H. Liu

Papers Published

1. Wei, BJ; Liu, QH, Fast algorithm for simulating 3-D electromagnetic inverse scattering in horizontally stratified medium via DTA, Acta Geophysica Sinica, vol. 50 no. 5 (January, 2007), pp. 1595-1605, ISSN 0001-5733
   (last updated on 2023/08/08)

   Abstract:
   Two kinds of approximations called DTA1 and DTA2 for integral equations are obtained according to different batk substituting method on the basis of diagonal tensor approximation (DTA) in order to improve the efficiency for simulating 3-D electromagnetic scattering and inverse scattering in horizontally stratified medium. The approximations can be used as the initial guess and pre-conditioner in the siabilized biconjugate-gradient fast Fourier transform (BCGS-FFT) algorithm for computing integral equations, and hence a hybrid DTA-BCGS algorithm with higher efficiency is formed. Numerical scattering examples have shown the high accuracy of DTA2 and the high efficiency of hybrid DTA-BCGS algorithm, especially of hybrid DTA2-BCGS. Since DTA2 has a much higher accuracy, it is combined with distorted Born iterative inversion method (DBIM) and a fast electromagnetic inverse scattering technique is formed to reconstruct 3-D inhomogeneous objects. Numerical inverse scattering examples have demonstrated the efficiency of the inverse scattering technique in reconstructing arbitrary 3-D inhomogeneous objects in horizontally stratified medium.