A wave-splitting based optimization approach to multi-dimensional time-domain electromagnetic inverse problems

被引：8

作者：

Gustafsson, M

He, SL

机构：

[1] Lund Inst Technol, Dept Electromagnet Theory, S-22100 Lund, Sweden

[2] Royal Inst Technol, Dept Electromagnet Theory, S-10044 Stockholm, Sweden

来源：

MATHEMATICS AND COMPUTERS IN SIMULATION | 1999年 / 50卷 / 5-6期

基金：

瑞典研究理事会;

关键词：

inverse problem; optimization; explicit gradient; wave-splitting; multi-dimensional;

D O I：

10.1016/S0378-4754(99)00103-2

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

An optimization approach to a multi-dimensional electromagnetic inverse problem in the time domain is considered. Wave-splitting is integrated in the optimization algorithm. An analysis based on energy estimates is given to show that the wave-splitting provides the best linear combination of the fields for use in this type of inverse problem. The permittivity, permeability and conductivity are reconstructed by minimizing an objective functional. An explicit expression for the gradient of the objective functional is derived by introducing some auxiliary functions and using the Gauss theorem. The parameters are reconstructed by an iterative conjugate gradient algorithm. Numerical results are presented. (C) 1999 IMACS/Elsevier Science B.V. Ail rights reserved.

引用

页码：541 / 551

页数：11

共 19 条

[1] RECONSTRUCTION OF 2-DIMENSIONAL PERMITTIVITY DISTRIBUTION USING THE DISTORTED BORN ITERATIVE METHOD [J].