On The Inverse Problem Of Source Reconstruction From Coherence Measurements

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.

Publication Date

6-1-2018

Publication Title

Journal of the Optical Society of America A: Optics and Image Science, and Vision

Volume

35

Issue

6

Number of Pages

959-968

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1364/JOSAA.35.000959

Socpus ID

85047995665 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/85047995665

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