Hybrid Born iterative method in low-frequency inverse scattering problem

With its fast convergence, the distorted Born iterative method (DBIM) has been widely used in low-frequency inverse scattering analysis, however, its inherent drawback, sensitive-to-noise disturbance, may greatly limit its practical applications. In this paper, the numerical analysis is made to compare the DBIM and the Born iterative method (BIM). Then a hybrid BIM is presented. In this method, the DBIM is employed to speed the solution convergence in the initial several iterations and the BIM is used to improve the solution stability in the later iterations. The switch condition is also given. The simulation results show that the method is valid for the inverse scattering solution.

[1]  Qing Huo Liu,et al.  An efficient solution for the response of electrical well logging tools in a complex environment , 1991, IEEE Trans. Geosci. Remote. Sens..

[2]  Qing Huo Liu,et al.  Inversion of induction tool measurements using the distorted Born iterative method and CG-FFHT , 1994, IEEE Trans. Geosci. Remote. Sens..

[3]  A. Tijhuis,et al.  Iterative approach to the frequency-domain solution of the inverse-scattering problem for an inhomogeneous lossless dielectric slab , 1984 .

[4]  W. Chew,et al.  Reconstruction of two-dimensional permittivity distribution using the distorted Born iterative method. , 1990, IEEE transactions on medical imaging.

[5]  Qing Huo Liu,et al.  Reconstruction of two-dimensional axisymmetric inhomogeneous media , 1993, IEEE Trans. Geosci. Remote. Sens..

[6]  Weng Cho Chew,et al.  Accelerating the iterative inverse scattering algorithms by using the fast recursive aggregate T‐matrix algorithm , 1992 .

[7]  A. Tijhuis Iterative determination of permittivity and conductivity profiles of a dielectric slab in the time domain , 1981 .

[8]  Qing Huo Liu,et al.  ELECTROMAGNETIC SCATTERING FROM TWO-DIMENSION- LAYERED MEDIA WITH AXIAL SYMMETRY , 1992 .

[9]  Weng Cho Chew,et al.  Simultaneous reconstruction of permittivity and conductivity profiles in a radially inhomogeneous slab , 1986 .

[10]  Qing Huo Liu,et al.  Nonlinear inversion of electrode-type resistivity measurements , 1994, IEEE Trans. Geosci. Remote. Sens..

[11]  W. Chew,et al.  Study of some practical issues in inversion with the Born iterative method using time-domain data , 1993 .

[12]  Weng Cho Chew,et al.  An iterative solution of the two‐dimensional electromagnetic inverse scattering problem , 1989, Int. J. Imaging Syst. Technol..

[13]  W. Chew Waves and Fields in Inhomogeneous Media , 1990 .