  We consider an inverse source problem for partially coherent light
propagating in the Fresnel regime. The data is the coherence of the field
measured away from the source. The reconstruction is based on a minimum residue
formulation, which uses the authors' recent closed-form approximation formula
for the coherence of the propagated field. The developed algorithms require a
small data sample for convergence and yield stable inversion by exploiting
information in the coherence as opposed to intensity-only measurements.
Examples with both simulated and experimental data demonstrate the ability of
the proposed approach to simultaneously recover complex sources in different
planes transverse to the direction of propagation.
