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arXiv · 2008.07329

Fixed angle inverse scattering in the presence of a Riemannian metric

Shiqi Ma·Mikko Salo
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Abstract

We consider a fixed angle inverse scattering problem in the presence of a known Riemannian metric. First, assuming a no caustics condition, we study the direct problem by utilizing the progressing wave expansion. Under a symmetry assumption on the metric, we obtain uniqueness and stability results in the inverse scattering problem for a potential with data generated by two incident waves from opposite directions. Further, similar results are given using one measurement provided the potential also satisfies a symmetry assumption. This work extends the results of [23,24] from the Euclidean case to certain Riemannian metrics.

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Shiqi Ma, Mikko Salo. 2020-08-17. Fixed angle inverse scattering in the presence of a Riemannian metric. https://doi.org/10.1515/jiip-2020-0119

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