基于体等效原理的金属散射体微波断层成像  

Spatial microwave imaging algorithm for metallic cylinders in lossy media base on volume equivalence principle

作　　者：张令涛[1] 许会[1] 张辉[1] 

机构地区：[1]沈阳工业大学信息科学与工程学院,沈阳110023

出　　处：《沈阳工业大学学报》2006年第1期69-72,106,共5页Journal of Shenyang University of Technology

基　　金：辽宁省教育厅资助项目(202063309)

摘　　要：探讨了有耗介质中金属散射体断层成像的迭代算法.其基本思想是从体等效原理出发,得到矩阵方程形式的反演方程.正问题中利用有限元(FEM)方法并参考局部形状函数法(LSF)的思想,利用极化横磁波(TM)照射被测物体,得到正问题的解.在求解逆问题时,为了消除方程的病态,得到逆问题的真实解或其稳定近似解,采用了Tikhonov正则化方法对求解过程进行约束和控制.为了能对金属散射体成像,借鉴了局部形状函数法(LSF)思想.实验结果证明此方法可以对单根或者多根金属散射体准确成像.An iterative microwave imaging algorithm for metallic cylinders in lossy media was proposed. The inverse formula was derived based on the volume equivalence principle. The algorithm combines FEM with LSF in the forward problem. The result of forward problem was deduced by using TM to irradiate the measured object. Tikhonov regularization approach was used to alleviate the illness of inverse formula in order to get real solution or stable approximate solution. In order to image metallic cylinders, LSF method was used. The availability of this method is proved by some examples.

关 键 词：微波断层成像 局部形状函数 体等效原理 TIKHONOV正则化 金属散射体 有限元 

分 类 号：TG115.22[金属学及工艺—物理冶金]