TY - JOUR
T1 - An Improved Subspace-Regularized DBIM-MLGFIM Method for Three-Dimensional Inverse Scattering Problems
AU - Zhao, Peng
AU - Liu, Linchun
AU - Xu, Kuiwen
AU - Ye, Xiuzhu
AU - Chen, Shichang
AU - Wang, Gaofeng
AU - Chan, Chi Hou
N1 - Publisher Copyright:
© 1963-2012 IEEE.
PY - 2021/5
Y1 - 2021/5
N2 - The repetitive computation of the forward problem in distorted Born iterative method (DBIM)-type inversion method is time-consuming and memory-costly, especially in dealing with 3-D inverse scattering problem. An improved subspace-regularized DBIM is proposed for the efficient solution of the 3-D inverse problem, which introduces the multilevel Green's function interpolation method (MLGFIM) to accelerate the computation of the forward problem. In order to stabilize the inversion, an improved subspace-regularized DBIM is used with one new subspace-regularized induced current term in the cost function in virtue of truncated singular value decomposition (TSVD). To further reduce the computation burden, the incident field induced with updated inhomogeneous background medium is used approximately as the total field in the cost function, which saves one forward solver calculation in each iteration. Besides, the resource-intensive multiplication of inhomogeneous Green's function can be avoided, which further improves the efficiency. Three numerical and two Fresnel experimental examples are given to demonstrate both the efficiency of the forward solver and the accuracy of the inversion algorithm.
AB - The repetitive computation of the forward problem in distorted Born iterative method (DBIM)-type inversion method is time-consuming and memory-costly, especially in dealing with 3-D inverse scattering problem. An improved subspace-regularized DBIM is proposed for the efficient solution of the 3-D inverse problem, which introduces the multilevel Green's function interpolation method (MLGFIM) to accelerate the computation of the forward problem. In order to stabilize the inversion, an improved subspace-regularized DBIM is used with one new subspace-regularized induced current term in the cost function in virtue of truncated singular value decomposition (TSVD). To further reduce the computation burden, the incident field induced with updated inhomogeneous background medium is used approximately as the total field in the cost function, which saves one forward solver calculation in each iteration. Besides, the resource-intensive multiplication of inhomogeneous Green's function can be avoided, which further improves the efficiency. Three numerical and two Fresnel experimental examples are given to demonstrate both the efficiency of the forward solver and the accuracy of the inversion algorithm.
KW - 3-D inverse problems
KW - distorted Born iterative method (DBIM)
KW - efficient solution
KW - multilevel Green's function interpolation method (MLGFIM)
KW - truncated singular value decomposition (TSVD)
UR - http://www.scopus.com/inward/record.url?scp=85105549768&partnerID=8YFLogxK
U2 - 10.1109/TAP.2020.3030954
DO - 10.1109/TAP.2020.3030954
M3 - Article
AN - SCOPUS:85105549768
SN - 0018-926X
VL - 69
SP - 2798
EP - 2809
JO - IEEE Transactions on Antennas and Propagation
JF - IEEE Transactions on Antennas and Propagation
IS - 5
M1 - 9234046
ER -