Stationary waves method for inverse scattering problems
Simopekka Vänskä
Inverse Problems & Imaging 2008, 2(4): 577-586 doi: 10.3934/ipi.2008.2.577
We present a constructive algorithm, the stationary waves method, to get approximative reconstructions in the inverse scattering problems. The method is a version of the singular sources/probe method but the singular fields are replaced with the stationary waves. The suggested indicator function compromises in getting exactly the obstacle, but it is very easy and fast to compute, robust with noise, and seems to give excellent reconstruction images. The method is introduced in the context of the acoustic inverse obstacle scattering problems.
keywords: numerical algorithm Inverse scattering problem reconstruction

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