Large Deviations that Induce Errors in Optical Systems

Optical systems are perturbed by random noise. In addition, large deviations in these systems lead to errors. We present a method to identify the most probable noise-induced large deviations that cause errors. The method exploits the mathematical structure of the governing equations and employs the singular value decomposition to form a constrained optimization problem. The results are then used to guide importance-sampled Monte Carlo simulations to determine error probabilities. The method works for a general class of intensity-based optical detectors and arbitrarily shaped optical pulses.

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Computational Mathematics & Statistics