We consider the problem of reconstructing a background potential from the dynamical behavior of vortex dipole. We prove that under suitable conditions, one can uniquely reconstruct a real-analytic potential by measuring the entrance and exit positions as well as travel times between boundary points. In particular, the work removes the flatness assumption on the potential from the earlier result. A key step of our method is a constructional procedure of recovering the boundary jet of the potential.

中文翻译：

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涡旋动力学反问题的唯一确定

我们考虑从涡旋偶极子的动力学行为重建背景电势的问题。我们证明，在合适的条件下，可以通过测量入口和出口位置以及边界点之间的旅行时间来唯一地重建真实的分析潜力。尤其是，该工作从较早的结果中删除了对电位的平坦度假设。我们方法的关键步骤是恢复势能边界射流的构造过程。