Abstract

We consider an inverse source problem for partially coherent light propagating in the Fresnel regime. The data are 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.

© 2018 Optical Society of America

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Supplementary Material (1)

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» Visualization 1       This video shows the progression of the gradient-descent algorithm for the example described in Fig. 4 of the article. The example shows convergence of the minimum residual approach to the parameters of the scene based on coherence measurements.

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