Intensity Correlation Imaging and Nonnegative Dynamic Systems

Abstract

David Charles Hyland

This work is a supplement to the author’s sequence of three papers featured in Applied Optics and listed in the Reference section. The main contribution of 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 [0, δ] where δ there 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 benefits of compartmental nonnegative dynamic systems.

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