Study of some practical issues in inversion with the Born iterative method using time-domain data

Author

Moghaddam, Mahta ; Chew, W.C.

Author_Institution

Jet Propulsion Lab., California Inst. of Technol., Pasadena, CA, USA

Volume

41

Issue

2

fYear

1993

fDate

2/1/1993 12:00:00 AM

Firstpage

177

Lastpage

184

Abstract

The performance of the Born iterative method of nonlinear two-dimensional profile inversion is examined for the reconstruction of large objects and in the presence of measurement noise. Time-domain data are used. It is shown that objects at least as large as about nine wavelengths can be inverted without any convergence problems. The algorithm is shown to perform well in the presence of 10% noise, or 20-dB signal-to-noise ratio. The simultaneous inversion of permittivity and conductivity profiles is formulated and solved using the Born iterative method. Objects with various loss tangents are reconstructed, and the limits of applicability of the algorithm are investigated

Keywords

convergence of numerical methods; electrical conductivity measurement; electromagnetic wave scattering; inverse problems; iterative methods; microwave imaging; permittivity measurement; time-domain analysis; Born iterative method; conductivity profiles; convergence; inverse scattering; large objects reconstruction; loss tangents; measurement noise; nonlinear two-dimensional profile inversion; permittivity profiles; time-domain data; Conductivity; Convergence; Image reconstruction; Iterative algorithms; Iterative methods; Noise measurement; Permittivity; Scattering; Time domain analysis; Wavelength measurement;

fLanguage

English

Journal_Title

Antennas and Propagation, IEEE Transactions on

Publisher

ieee

ISSN

0018-926X

Type

jour

DOI

10.1109/8.214608

Filename

214608