A novel sampling method for time domain acoustic inverse source problems

The time domain acoustic inverse source problems of the wave equation have been widely used in many fields, such as radar detection and underwater sonar. This paper is concerned with the inverse acoustic scattering problems of reconstructing time-dependent multiple point sources and sources on a curve L of the form lambda(t)tau(x)delta L (x). A direct sampling method with a novel indicator function is proposed to reconstruct the sources. The sampling method is easy to implement and low in calculation cost. Based on the sampling method, numerical algorithms are provided to get the positions and intensities of the sources. Through theoretical analysis of the indicator function and numerical experiments, the effectiveness of the proposed method is verified.