A Path‐Based Method for Simulating Large Deviations and Rare Events in Nonlinear Lightwave Systems. Issue 2 (19th April 2016)

• Record Type: Journal Article
• Authors: Li, J.; Kath, W. L.
• Other Names: Biondini G. guestEditor.; Fokas A.S. guestEditor.
• Is Part Of: Studies in applied mathematics. Volume 137:Issue 2(2016)
• Page Start: 159
• Page End: 173
• Publication Date: 2016-04-19
• Subjects: Mathematics -- Periodicals; Mathématiques -- Périodiques; Mathématique; Mathématique appliquée; Ressource Internet (Descripteur de forme); Périodique électronique (Descripteur de forme); 519
• DOI: 10.1111/sapm.12122
• Languages: English
• ISSNs: 0022-2526

Abstract

Abstract : Errors in nonlinear lightwave systems are often associated with rare, noise‐induced, large deviations of the signal. We present a method to determine the most probable manner in which such rare events occur by solving a sequence of constrained optimization problems. These results then guide importance‐sampled Monte Carlo simulations to determine the events' probabilities. The method applies to a general class of intensity‐based optical detectors and to arbitrarily shaped and multiple pulses.