  We present a novel algorithm for high resolution coherent imaging of sound
sources in random scattering media using time resolved measurements of the
acoustic pressure at an array of receivers. The sound waves travel a long
distance between the sources and receivers so that they are significantly
affected by scattering in the random medium. We model the scattering effects by
large random wavefront distortions, but the results extend to stronger effects,
as long as the waves retain some coherence i.e., before the onset of wave
diffusion. It is known that scattering in random media can be mitigated in
imaging using coherent interferometry (CINT). This method introduces a
statistical stabilization in the image formation, at the cost of image blur. We
show how to modify the CINT method in order to image wave sources that are too
close to each other to be distinguished by CINT alone. We introduce the
algorithm from first principles and demonstrate its performance with numerical
simulations.
