A Path‐Based Method for Simulating Large Deviations and Rare Events in Nonlinear Lightwave Systems

DOI10.1111/SAPM.12122zbMath1358.35179OpenAlexW2336702941MaRDI QIDQ2822874

William L. Kath, Jinglai Li

Publication date: 5 October 2016

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1111/sapm.12122

zbMATH Keywords

errorssimulationrare eventslarge deviationsNLSEnonlinear lightwave systemsoptical detectorspath-based method

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Large deviations (60F10) NLS equations (nonlinear Schrödinger equations) (35Q55) Lasers, masers, optical bistability, nonlinear optics (78A60) Optimization problems in optics and electromagnetic theory (78M50)

Related Items (2)

Preface: Mark J. Ablowitz, nonlinear waves and integrable systems. Part II ⋮ Optimal control problem for nonlinear optical communications systems

Uses Software

• ARPACK

Cites Work

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• Practical bifurcation and stability analysis
• An Iterative Stochastic Method for Simulating Large Deviations and Rare Events
• On large deviations theory and asymptotically efficient Monte Carlo estimation
• A Method to Compute Statistics of Large, Noise-Induced Perturbations of Nonlinear Schrödinger Solitons
• Importance Sampling for Dispersion-Managed Solitons
• A Method for Determining Most Probable Errors in Nonlinear Lightwave Systems
• ARPACK Users' Guide
• Safe and Effective Importance Sampling
• Minimum action method for the study of rare events

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