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用迭代方法和双共轭梯度法重建二维电导率剖面分布

[摘要]
本文着重阐述采用积分方程的迭代方法并结合双共轭梯度(BCG)法对低频近场非均匀背景介质中二维轴对称电导率剖面的反演,并仅用z向采集的数据进行目标重建。首先,基于待反演目标区内、外的电场积分方程。建立起反演积分方程,将积分方程离散化为矩阵方程,用迭代方法求解目标区电导率分布。在每次迭代过程中,格林函数不断被更新。同时用正则化方法来消除解的不适定性。文中利用不完备的测量数据对复杂的电导率剖面进行了反演。数值模拟结果表明本文方法与文献[8]相比,且有更快的收敛速度和更高的成象质量。
[英文摘要]
In this paper,the inversion and reconstruction of 2-dimensional inhomogeneous conductivity profile for low-frquency near field using iterative algorithm and bi-conjugate gradient method (BCG) is decribed. Based on the internal and external electric field integration equations, the inversion equation is derived. By using the method of moments ,the integral equation can be discretized into matrix form. The Green′s function is updated in every iteration step. Then, ill-posed problem is circumvented by imposing additional constraints on the solution using the Tikhonov regularzation method. Numerical results show that this method is of faster convergence and higher inverse quality than that which introduced in reference [8].
[关键词]
电磁逆散射,迭代方法,快速收敛,数值模式匹配,双共轭梯度法
[作者]
杨峰 聂在平
[作者单位]
电子科技大学,成都 610054;电子科技大学,成都 610054;University Electronic of Science and Technology of China ,Chengdu 610054;University Electronic of Science and Technology of China ,Chengdu 610054;
[刊名]
微波学报
[英文刊名]
JOURNAL OF MICROWAVES
[期刊类别]
无线电电子学与电信技术
[年 卷 期]
2000   16   03

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