Efficient Monte Carlo simulation of speckles with physically-correct spatio-temporal statistics

Spatial and temporal speckle statistics are useful for numerous imaging applications, but remain underutilized due to the difficulty in simulating and analyzing them. To tackle this challenge, we introduce a new Monte-Carlo algorithm that can efficiently simulate complex-valued, physically-correct speckles. We demonstrate that our speckles follow the exact same statistics of speckles produced by exact wave solvers, and agree with previous analytic formulas addressing partial settings of the problem. We demonstrate the potential usage of the simulator in several imaging applications.