Abstract

This talk is concerned with the inverse source problem of reconstructing an unknown acoustic excitation from multifrequency phaseless measurements. We develop a novel strategy to recover the radiated fields via adding some reference point sources. This technique leads to a simple phase retrieval formula. The stability of this approach is rigorously analyzed. Once the phase information is available, the multi-frequency inverse source problem is solved by the Fourier method. Some validating numerical examples will be presented to show the effectiveness of the proposed method.