DBIM for the inversion of two-dimensional axisymmetric inhomogeneous media

Author

Liu, Q.-H.

Author_Institution

Schlumberger-Doll Res., Ridgefield, CT, USA

fYear

1993

fDate

June 28 1993-July 2 1993

Firstpage

504

Abstract

The author applies the distorted Born iterative method (DBIM) to invert TE (transverse electric) measurements for the complex permittivity of a two-dimensional axisymmetric inhomogeneous medium. In each iteration of the DBIM, the distorted Born approximation is used to linearize the nonlinear inverse problem, and the numerical mode-matching method is used to solve the forward problem. Several numerical results have been shown to demonstrate the inversion of conductivity profiles using induction measurements. It is found that, even with a few measurements at the rotation axis, good images can be obtained by the inversion algorithm.<>

Keywords

DWBA; Green´s function methods; electromagnetic wave propagation; electromagnetic wave scattering; integral equations; inverse problems; iterative methods; linearisation techniques; loop antennas; mode matching; nonlinear equations; permittivity measurement; complex permittivity; distorted Born iterative method; images; induction measurements; inversion algorithm; nonlinear inverse problem; numerical mode-matching; two-dimensional axisymmetric inhomogeneous media; Approximation methods; Distortion measurement; Electric variables measurement; Inverse problems; Iterative methods; Nonlinear distortion; Permittivity measurement; Predistortion; Scattering; Tellurium;

fLanguage

English

Publisher

ieee

Conference_Titel

Antennas and Propagation Society International Symposium, 1993. AP-S. Digest

Conference_Location

Ann Arbor, MI, USA

Print_ISBN

0-7803-1246-5

Type

conf

DOI

10.1109/APS.1993.385297

Filename

385297