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J Opt Soc Am A Opt Image Sci Vis. 2008 Oct;25(10):2571-81.

Monte Carlo modeling of spatial coherence: free-space diffraction.

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  • 1NASA Glenn Research Center, 21000 Brookpark Road, Cleveland, OH 44135, USA.


We present a Monte Carlo method for propagating partially coherent fields through complex deterministic optical systems. A Gaussian copula is used to synthesize a random source with an arbitrary spatial coherence function. Physical optics and Monte Carlo predictions of the first- and second-order statistics of the field are shown for coherent and partially coherent sources for free-space propagation, imaging using a binary Fresnel zone plate, and propagation through a limiting aperture. Excellent agreement between the physical optics and Monte Carlo predictions is demonstrated in all cases. Convergence criteria are presented for judging the quality of the Monte Carlo predictions.

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