Inverse Scattering Algorithms Based on Contrast Source Integral Representations

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In this Subject: <a title="Mathematics and Statistics" href="/content/subcat?j_subject=195&j_availability=">Mathematics and Statistics
By this author: van den Berg P.M. ;&nbsp; Abubakar A.

Authors: van den Berg P.M.; Abubakar A.

Source: Inverse Problems in Engineering, Volume 10, Number 6, 2002 , pp. 559-576(18)

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Abstract:

This article reviews a number of algorithms to solve the nonlinear inverse scattering problem, where the discrepancy between the measured data and the predicted data is minimized. These algorithms are all based on a source type of integral representation of the scattered field, where the integral operator acts on a contrast source, being the product of the interior field and the contrast of the scattering object. Special attention is paid to the development of the contrast-source-inversion method, where the contrast sources are updated iteratively, and where, in each iteration, an explicit minimizer for the contrast is obtained. In particular, we discuss the effective implementation of a multiplicative constraint that minimizes the spatial variations of the contrast. We present actual reconstructions from both synthetic and experimental scattered field data.

Document Type: Research article

Affiliations: 1: Laboratory of Electromagnetic Research, Delft University of Technology, Mekelweg 4, 2628 CD Delft, The Netherlands

Publication date: 2002-01-01