Renormalized solutions are obtained for an inverse-scattering problem that are equivalent to the second-order regular perturbation approximations for the exact (Gel’fand-Levitan-Marchenko) theory. We have developed an inversion method for reconstruction the permittivity profiles of inhomogeneous dielectric slabs from reflection-coefficient data. Solutions with increased radii of convergence are obtained. Numerical examples are demonstrated for simulated-scattering data from Gaussian and parabolic profiles and homogeneous slabs.
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Ladouceur et al. (1985) studied this question.
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