Real-time reconstruction of moving point/dipole wave sources from boundary measurements

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.