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This paper discusses a special imaging reconstruction problem in which the object to be reconstructed resides in a homogeneous media but consists of a known part and an unknown part. The known part is combined with the homogeneous background media to form an inhomogeneous media. The dielectric permittivity profiles are reconstructed for the unknown part using the Born iteration (BI) method. Numerical examples demonstrate that this modified BI algorithm has faster convergence and higher accuracy than the regular BI method.
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Lu et al. (2002) studied this question.
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