Simulating time-evolving non-cross-spectrally pure schell-model sources

Investigating the time-evolution of partially-coherent sources is necessary for certain optical coherence effects. Several simulation approaches have been developed, many of which can only treat cross-spectrally pure sources. However, some significant source types are not cross-spectrally pure. This paper reviews two methods for the synthesis of time-evolving sources which need not be pure. Both involve filtering matrices of uncorrelated Gaussian random numbers. One method requires control of both amplitude and phase, while the other only requires phase control. The utility of the methods for non-cross-spectrally pure sources is demonstrated for the first time. The source is generated by passing coherent light through two different diffusers which move at the same speed but in opposite directions. Simulation results for the time-evolving field are shown. Further, the coherence functions of the synthesized field are compared to theory for validation.