An Improved Time-Domain Electromagnetic Inverse Scattering Technique for Multi-Pole Debye Dispersive Media
LIU Guang-dong1, GE Xin-tong2
1. School of Physics and Electronic Engineering, Fuyang Normal College, Fuyang, Anhui 236037, China;
2. School of Mathematics and Statistics, Fuyang Normal College, Fuyang, Anhui 236037, China
The Debye model with multiple relaxation times is most suitable for highly accurate description of the dispersion characteristics of many media,such as biological tissues,soil,and water,among the developed empirical models.In order to reconstruct the electromagnetic properties of these dispersive media simultaneously,a modified time-domain inverse scattering technique is presented.Firstly,in the proposed technology,the nonlinearity and ill-posedness of the inverse problem is circumvented by an iterative method and the Tikhonov's regularization,respectively.Secondly,a set of closed gradients (Fréchet derivatives) of its cost functional with respect to objective parameters are derived for the aforementioned inverse problem.Then,the finite-difference time-domain (FDTD) method and any conjugate gradient (CG) method is applied,at its each iteration,to solve the resulting forward and backward sub-problem,respectively.Lastly,the feasibility and robustness for the inversion technique are preliminarily confirmed by two one-dimensional (1-D) numerical examples where a model of the additive white Gaussian noise (AWGN) is considered.
刘广东, 葛新同. 多极德拜色散媒质的时域电磁逆散射改进技术[J]. 电子学报, 2015, 43(12): 2518-2524.
LIU Guang-dong, GE Xin-tong. An Improved Time-Domain Electromagnetic Inverse Scattering Technique for Multi-Pole Debye Dispersive Media. Chinese Journal of Electronics, 2015, 43(12): 2518-2524.
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2015, Vol. 43 
