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.
We derive a physically accurate and computationally efficient Monte Carlo algorithm that can be used to evaluate the complex statistics of speckle fields in scattering media. This allows evaluating and studying second-order speckle statistics, such as the memory effect, for a large variety of material and imaging parameters, including turbid materials. This helps bridge the gap between analytical formulas, derived under restrictive assumptions such as diffusion, and empirical lab measurements. It also opens up the possibility for discovering new types of correlation effects, and using those to improve our ability to see through and focus into random media.
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