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A hybrid method for inverse scattering for Sound-soft obstacles in R3

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  • We present a hybrid method to numerically solve the inverse acoustic sound-soft obstacle scattering problem in $\R^3$, given the far-field pattern for one incident direction. This method combines ideas of both iterative and decomposition methods, inheriting advantages of each of them, such as getting good reconstructions and not needing a forward solver at each step. A related Newton method is presented to show convergence of the method and numerical results show its feasibility.
    Mathematics Subject Classification: 35R30, 78A46.

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