This work was sponsored in part by National Institutes of Health (NIH) grant CA103824.
Journal of the Optical Society of America A: Optics, Image Science and Vision
Optics -- Statistical methods, Imaging systems, Radiative transfer -- Mathematical models
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.
David G. Fischer, Scott A. Prahl, and Donald D. Duncan, "Monte Carlo modeling of spatial coherence: free-space diffraction," J. Opt. Soc. Am. A 25, 2571-2581 (2008)