The Reconstruction of Dielectric Objects from Scattered Field Data Using the Distorted-Wave Born Approximation

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Abstract
We consider the problem of reconstructing a strongly scattering object, consisting of a small unknown perturbation to a known background object, from scattered field data using the Distorted-Wave Born approximation. Assuming that the background object comprises an homogeneous cylinder we develop a filtering operation on the data allowing a Fourier transform relation to be established between the filtered data and unknown object similar to that between the scattering object and data within the Born approximation. This allows the unknown perturbation to be reconstructed using approaches already developed for the Born approximation. The behaviour of the algorithm is illustrated by numerical examples.

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