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T矩阵法在求解混合边界可分离障碍物问题中的应用。

Application of T-matrix method in solving mixed boundary separable obstacle problem.

作者信息

Ye Xiuzhu, Song Rencheng, Chen Xudong

出版信息

Opt Express. 2014 Jun 30;22(13):16273-81. doi: 10.1364/OE.22.016273.

DOI:10.1364/OE.22.016273
PMID:24977878
Abstract

The practical problem of imaging scatterers enclosed by separable obstacles with mixed boundary is addressed. Both the unknown scatterers and the known obstacle media can be mixture of dielectric and perfect electric conducting (PEC) materials. The scattering phenomenon of such problem is well modeled by T-matrix method. By usage of separable prior information, the obstacle media are treated as known scatterers rather than part of the background. The number of unknowns is thus reduced greatly. After recovering the profiles of scatterers by T-matrix method, a criterion is further provided to classify the PEC and dielectric scatterers. Various numerical examples are presented to show the effectiveness and good performance of the method.

摘要

解决了对由具有混合边界的可分离障碍物包围的散射体进行成像的实际问题。未知散射体和已知障碍物介质都可以是电介质和理想导电(PEC)材料的混合物。此类问题的散射现象可以通过T矩阵方法很好地建模。利用可分离的先验信息,将障碍物介质视为已知散射体而非背景的一部分。因此未知数的数量大大减少。通过T矩阵方法恢复散射体的轮廓后,进一步提供了一个准则来区分PEC和电介质散射体。给出了各种数值例子以展示该方法的有效性和良好性能。

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