Abstract
A theoretical study of the practical abilities of the Novikov-Henkin algorithm, which is one of the most promising algorithms for solving three-dimensional inverse monochromatic scattering problems by functional analysis methods, is carried out. Numerical simulations are performed for model scatterers of different strengths in an approximation simplifying the reconstruction process. The resulting estimates obtained with the approximate algorithm prove to be acceptable for middle-strength scatterers. For stronger scatterers, an adequate reconstruction is possible on the basis of a rigorous solution.
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