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基于后向散射场的介质目标重建方法
引用本文:于春阳 董晓龙. 基于后向散射场的介质目标重建方法[J]. 西安交通大学学报, 1996, 30(1): 75-81
作者姓名:于春阳 董晓龙
作者单位:电子与信息工程学院
摘    要:给出于多频多方向平面波照射下的后向散射场的介质目标重建的NewtonKantorovich方法,利用矩量法将算子方程化成矩阵形式,再采用Tikhonov正则化方法求解病态方程组,数据结果先给出了单频情况下基于后向散射场所存在的较严重的病态特性和不唯一性的数值例子,然后给出了用此方法反演3种较典型介质目标的反演结果。

关 键 词:介质反演 电磁散射 后向散射场 N-K法

2 D DIELECTOIC PERMITIVITY RECONSTRUCTION VIA BACKSCATTERED FIELD
Yu Chunyang Dong Xiaolong Wang Wenbing Zhang Xiyuan. 2 D DIELECTOIC PERMITIVITY RECONSTRUCTION VIA BACKSCATTERED FIELD[J]. Journal of Xi'an Jiaotong University, 1996, 30(1): 75-81
Authors:Yu Chunyang Dong Xiaolong Wang Wenbing Zhang Xiyuan
Affiliation:School of Electronics and Information Engineering
Abstract:Newton Kantorovich algorithm employing plane waves of multiple frequencies and directions is proposed. Frechet derivative of backscattered field on dielectric permitivity distribution has been derived. Using the moment method and the coupled linearized integral equations are transformed into matrix forms. The final linear equations are solved with Tikhonov regulation technique. Ill condition and nonuniqueness are demonstrated by numerical example. Three kinds of typical scatterers are reconstructed with good results. Effects of various parameters on iteration procedure and final results are discussed.
Keywords:dielectric permitivity reconstruction multiple frequencies and directions ill condition and nonuniqueness Newton Kantorovich algorithm
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