This paper investigates the inverse source problem for the time-harmonic elastic wave equation using far-field measurements. We propose a set of novel indicator functions designed to simultaneously identify the source locations and recover the corresponding polarizations from the observed data. Theoretical analysis is performed to establish the validity of the proposed approach. In addition, several numerical experiments are presented to demonstrate the effectiveness and robustness of the method, including its performance under noisy conditions.
Chang et al. (Thu,) studied this question.