ABSTRACT This paper is concerned with a reconstruction method for multiple moving point/dipole wave sources. We assume that the number, locations, and magnitudes/moments of wave sources are unknown and consider the problem to reconstruct these parameters from the measurement of the wave field on the boundary. For this problem, we derive algebraic relations between the parameters of wave sources and the reciprocity gap functionals and propose a real-time reconstruction procedure based on these relations. We perform some numerical experiments and show the effectiveness of our reconstruction procedure.

中文翻译：

---

从边界测量实时重建移动点/偶极子波源

摘要 本文涉及一种多运动点/偶极子波源的重建方法。我们假设波源的数量、位置和幅度/力矩是未知的，并考虑从边界上波场的测量重建这些参数的问题。针对这个问题，我们推导出波源参数与互易间隙泛函之间的代数关系，并基于这些关系提出实时重建程序。我们进行了一些数值实验并展示了我们重建程序的有效性。