Time-Domain Inverse Scattering Using a Nonlinear Renormalization Technique

Abstract
A nonlinear renormalization technique is implemented for the one-dimensional inverse scattering in the time-domain. This algorithm, which is approximate but highly accurate, is tested with both bandlimited and noisy data. The merits of this algorithm are its ease of implementation, increased understanding of the scattering process, and its robustness to noise corruption and bandwidth limitations. Several examples are shown to demonstrate the effectiveness of the algorithm.

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