矩阵摄动理论在二维有耗介质柱局部逆散射中的应用

Application of a Matrix Perturbation Theory to the Partial Inverse Scattering of Two-Dimensional Lossy Dielectric Cylinder

本文提出二维有耗介质柱局部逆散射的矩阵摄动理论.作为生物体的简单模型,当二维有耗介质柱内部结构发生局部变化时,其散射电磁场随之改变.本文根据矩阵摄动理论导出了变化的散射场与介电常数、电导率之间的简明关系,并得到逆问题的各阶摄动解.

A matrix perturbation theory in the partial inverse scattering of two-dimensional lossy dielectric cylinder is presented. As a simple physical model of biological body, when the inside properties of a two-dimensional lossy dielectric cylinder partly vary, the scattering fields vary accordingly. In this paper, a simple relationship between the varied scattering fields and varied dielectrics is derived by using the matrix perturbation theory, and the perturbation solutions for inverse scattering are obtained.