Intensity Correlation Imaging and Nonnegative Dynamic Systems

This work is a supplement to the the author’s “The Rise of the Brown-Twiss Effect” featured in the Photonics special issue: “Optical Imaging and Measurements: 2nd Edition". The main contribution for the author’s algorithm was the survey of the stochastic search algorithm required to determine the true noise free-image via the Brown-Twiss effect with enormously small integration times. A key element in the algorithm was the introduction of initial conditions where the values of the intensity pixels are assumed to be mutually statistically independent and uniformly distributed over the range where is a (very small) positive constant. This algorithm performed quite well, but the small initial conditions are unnecessary, as well as other complications that should be simplified. Here we streamline the algorithm in the form of a discrete-time dynamic system and explore the alternate features and benefites of compartmental nonnegative dynamic systems.