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Control over optical spatial coherence is a key requirement in diverseapplications including imaging, optical trapping, and communications. Currentapproaches to controlling spatial coherence are constrained by speed or limitedto a single pair of optical fields. Here, we propose a method to achievesingle-shot control of the spatial coherence between an arbitrary number offields. Our method employs a multi-port linear optical device, which we realizeby shaping the wavefront of the input light fields and transmitting themthrough a complex medium. To demonstrate the capabilities of our method, weexperimentally realize a 3x3-port system and use it to generate three outputbeams with desired mutual correlations.

Controlling spatial coherence with an optical complex medium