電磁逆散射成像的一種混合正則化方法

電磁逆散射成像問(wèn)題數(shù)值求解中，非線性逆散射方程及其對(duì)應(yīng)的離散方程組具有明顯的不適定性，針對(duì)求解通常所用Tikhonov 正則化方法的參數(shù)選擇在先驗(yàn)選取時(shí)缺乏有效的誤差信息，而后驗(yàn)選取時(shí)需要更多計(jì)算量求解有關(guān)參數(shù)的方程的困難，本文中將小參數(shù)Tikhonov 正則化方法與共軛梯度法結(jié)合，提出了不適定方程組的混合正則化方法。數(shù)據(jù)仿真表明，該方法既可保證正則化效果，也減少了計(jì)算量。
關(guān)鍵詞: 電磁逆散射 共軛梯度法 正則化

A Hybrid Regularized Method of Electromagnetic Inverse Scattering . ZHOU Ding-fa
(School of Communication and Control Engineering ,Southern Yangtze University,Wuxi 214122 China) Abstract: In numerically solving electromagnetic inverse scattering problem, there are ill-posedness of the nonlinear inverse scattering equation and its discrete form. In the conventional Tikhonov regularization for the solution, both the prior and the posterior determinations of the regularization parameter are difficult because of lack of effective error information and more computations for solving the equations for the parameter, respectively.
In this paper, a hybrid regularization technique is presented by combination of the Tikhonov regularization method with little parameter and the conjugate gradient method. The simulation results show that the proposed method can not only make the effective regularization but also need less the arithmetic operations.
Key words:Electromagnetic inverse scattering; Conjugate gradient method; Regularization