An inverse scattering approach based on the differential E-formulation

Author

Rekanos, Ioannis T. ; Yioultsis, Traianos V. ; Hilas, Constantinos S.

Author_Institution

Dept. of Informatics & Commun., Technol. & Educ.al Inst. of Serres, Greece

Volume

42

Issue

7

fYear

2004

fDate

7/1/2004 12:00:00 AM

Firstpage

1456

Lastpage

1461

Abstract

An inverse scattering technique based on the differential E-formulation in the frequency domain is proposed. The inversion is achieved by minimizing a cost functional, taking into account the discrepancy between measured and estimated field values, while the Helmholtz wave equation is set as constraint. The Fre´chet derivatives of the cost functional with respect to the scatterer properties are derived analytically by means of the calculus of variations. Edge elements are used for the numerical treatment of the problem.

Keywords

differential equations; electromagnetic wave polarisation; electromagnetic wave scattering; geophysical techniques; microwave imaging; remote sensing; Frechet derivatives; Helmholtz wave equation; differential E-formulation; frequency domain; inverse scattering; microwave imaging; transverse electric polarization; Cost function; Geophysical measurements; Image reconstruction; Integral equations; Inverse problems; Iterative algorithms; Microwave imaging; Partial differential equations; Permittivity; Scattering; Differential formulation; Fréchet derivatives; TE; inverse scattering; microwave imaging; polarization; transverse-electric;

fLanguage

English

Journal_Title

Geoscience and Remote Sensing, IEEE Transactions on

Publisher

ieee

ISSN

0196-2892

Type

jour

DOI

10.1109/TGRS.2004.829607

Filename

1315829