Increasing Stability in the Inverse Source Problem with an Interval (K1, K2) of Frequencies

In this paper, we study the increasing stability in the inverse source problem with an interval (K1,K2) of frequencies. Our results show that increasing stability can be obtained with larger wavenumber intervals. The stability estimate consists of the Lipschitz type data discrepancy and the frequency tail of the source function, where the latter decreases as the frequency K2 increases or K1 decreases. The method is based on the Fourier transform and explicit bounds for analytic continuation.