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Describing supercontinuum noise and rogue wave statistics using higher-order moments
Authors:Simon Toft Sørensen  Ole Bang  Benjamin Wetzel  John M. Dudley
Affiliation:1. DTU Fotonik, Department of Photonics Engineering, Technical University of Denmark, 2800 Kgs. Lyngby, Denmark;2. Institut FEMTO-ST, UMR 6174 CNRS-Université de Franche-Comté, 25030 Besançon, France;1. Xlim Research Institute, UMR CNRS 7252, University of Limoges, 123 Av. Albert Thomas, 87060 Limoges Cedex, France;2. Leukos Innovative Optical Systems, Ester Technopole, 1 Av. d’Ester, 87069 Limoges Cedex, France;1. Department of Mathematics, Taiyuan University of Technology, Taiyuan, 030024, Shanxi, China;2. State Key Laboratory of Explosion Science and Technology, Beijing Institute of Technology, 100081, Beijing, China;1. Department of Electronics and Communication Engineering, Sri Krishna College of Technology, Coimbatore, 641042, India;2. Department of Electronics and Communication Engineering, Jeppiaar Maamallan Engineering College, Sirperumbudur, 602 108, India;3. Department of Physics, University College of Engineering, Anna University, Ramanathapuram, 623513, India;4. Optical Communication Lab, Prorogue Research Consultancy, India;1. Department of Physics and Astronomy, Key Laboratory for Laser Plasmas (Ministry of Education), State Key Lab of Advanced Optical Communication Systems and Networks, Shanghai Jiao Tong University, Shanghai 200240, China;2. School of Information Engineering, Hubei University for Nationalities, Enshi, Hubei Province 445000, China
Abstract:We show that the noise properties of fiber supercontinuum generation and the appearance of long-tailed “rogue wave” statistics can be accurately quantified using statistical higher-order central moments. Statistical measures of skew and kurtosis, as well as the coefficient of variation provide improved insight into the nature of spectral fluctuations across the supercontinuum and allow regions of long-tailed statistics to be clearly identified. These moments – that depend only on analyzing intensity fluctuations – provide a complementary tool to phase-dependent coherence measures to interpret supercontinuum noise.
Keywords:
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