Large Deviations that Induce Errors in Optical Systems
Jinglai Li
Department of Engineering Science and Applied Mathematics
Northwestern University
Optical systems are perturbed by random noise. In addition, it is large deviations in these systems that 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 for arbitrarily shaped optical pulses.