Abstract
We consider the inverse scattering of time-harmonic plane waves to reconstruct the shape of a sound-soft crack from a knowledge of the given incident field and the phaseless data, and we check the invariance of far field data with respect to translation of the crack. We present a numerical method that is based on a system of nonlinear and ill-posed integral equations, and our scheme is easy and simple to implement. The numerical implementation is described and numerical examples are presented to illustrate the feasibility of the proposed method.
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The research has been supported by the National Science Foundation of China (Grant No. 11371172, 11771180).
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Gao, P., Dong, H. & Ma, F. Inverse Scattering Via Nonlinear Integral Equations Method for a Sound-Soft Crack with Phaseless Data. Appl Math 63, 149–165 (2018). https://doi.org/10.21136/AM.2018.0154-17
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DOI: https://doi.org/10.21136/AM.2018.0154-17