Modeling of the exact solution of the inverse scattering problem by functional methods |
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Authors: | V A Burov S N Vecherin S A Morozov and O D Rumyantseva |
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Institution: | 1.Faculty of Physics,Moscow State University,Moscow,Russia |
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Abstract: | Relations between different functional algorithms for solving the inverse scattering problem are analyzed. It is shown that
the Rose algorithm does not provide a unique solution, but can be used as a means to improve the interference resistance in
reconstruction algorithms that provide unique restoration of scatterer characteristics. The possibility of unique reconstruction
of refractive-absorbing scatterers by the modified Rose algorithm, which includes the Sokhotsky equation, is illustrated.
Results of numeric simulation of the Novikov-Grinevich-Manakov algorithm, which is efficient in reconstructing two-dimensional
acoustic refractive-absorbing scatterers of actually arbitrary shape and strength, are presented. The algorithm rigorously
allows for multiple scattering effects. It is promising for tomography-like application problems and features a sufficiently
high interference resistance. |
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