BFGS quasi-Newton method for solving electromagnetic inverse problems

Author

Hu, J.-L. ; Wu, Z. ; McCann, H. ; Davis, L.E. ; Xie, C.-G.

Author_Institution

Sch. of Electr. & Electron. Eng., Univ. of Manchester, UK

Volume

153

Issue

2

fYear

2006

fDate

4/3/2006 12:00:00 AM

Firstpage

199

Lastpage

204

Abstract

Electromagnetic inverse problems have been found in numerous research areas, such as medical imaging, non-destructive testing, geophysical prospecting and microwave tomography. These inverse problems can be considered as a large-scale nonlinear programming problem. In the paper, a quasi-Newton algorithm based on Broyden-Fletcher-Goldfarb-Shanno (BFGS) Hessian matrix updating formula is introduced and applied to solve two-dimensional (2-D) electromagnetic inverse problems. Numerical results of image reconstruction from the simulation data for some dielectric cylinders are given, and the efficiency of the proposed method for image reconstruction is evaluated.

Keywords

Hessian matrices; Newton method; dielectric bodies; electromagnetic wave scattering; image reconstruction; inverse problems; nonlinear programming; permittivity; 2D electromagnetic inverse problems; BFGS quasi-Newton method; Broyden-Fletcher-Goldfarb-Shanno Hessian matrix updating formula; complex permittivity; dielectric cylinders; image reconstruction; inverse scattering; large-scale nonlinear programming problem;

fLanguage

English

Journal_Title

Microwaves, Antennas and Propagation, IEE Proceedings

Publisher

iet

ISSN

1350-2417

Type

jour

DOI

10.1049/ip-map:20050118

Filename

1621522