Numerically efficient coherent mode representations for partially coherent beams with separable phases

We present a method to numerically compute the coherent mode representations (CMRs) for partially coherent beams with separable phases. This special class of random light field has the ability to self-focus and is resistant to turbulence-induced degradation, making it potentially useful in applications such as optical communications. We validate our method by generating (in simulation) two such sources from the literature using their computed CMRs. Lastly, we conclude with a summary of our approach and a discussion of applications. • We present a method to obtain the CMR for random beams with separable phases. • These fields carry optical vortices and are resistant to atmospheric turbulence. • We observe an order of magnitude improvement in computational efficiency. • Our work will be useful in the simulation/generation of these special light beams.