An inverse scattering approach based on the differential E-formulation

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 constra...

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Bibliographic Details
Published in:IEEE transactions on geoscience and remote sensing 2004-07, Vol.42 (7), p.1456-1461
Main Authors: Rekanos, I.T., Yioultsis, T.V., Hilas, C.S.
Format: Article
Language:English
Subjects:
Applied geophysics
Cost function
Earth sciences
Earth, ocean, space
Exact sciences and technology
Geophysical measurements
Image reconstruction
Integral equations
Internal geophysics
Inverse problems
Iterative algorithms
Microwave imaging
Partial differential equations
Permittivity
Scattering
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Summary: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/spl acute/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.
ISSN:0196-2892
1558-0644
DOI:10.1109/TGRS.2004.829607