title: Random walks and random numbers from supercontinuum generation.
abstract: We report a numerical study showing how the random intensity and phase fluctuations across the bandwidth of a broadband optical super-continuum can be interpreted in terms of the random processes of random walks and Lévy flights. We also describe how the intensity fluctuations can be applied to physical random number generation. We conclude that the optical supercontinuum provides a highly versatile means of studying and generating a wide class of random processes at optical wavelengths.
authors.affiliation: Institut FEMTO-ST, UMR 6174 CNRS-Université de Franche-Comté, Besançon, France.
authors.forename: Benjamin
authors.initials: B
authors.lastname: Wetzel
authors.forename: Keith J
authors.initials: KJ
authors.lastname: Blow
authors.forename: Sergei K
authors.initials: SK
authors.lastname: Turitsyn
authors.forename: Guy
authors.initials: G
authors.lastname: Millot
authors.forename: Laurent
authors.initials: L
authors.lastname: Larger
authors.forename: John M
authors.initials: JM
authors.lastname: Dudley
mesh_terms: D000465:Algorithms; D003198:Computer Simulation; D016014:Linear Models; D008958:Models, Molecular; D015233:Models, Statistical; D008962:Models, Theoretical; D008968:Molecular Conformation; D055095:Optics and Photonics; D010825:Physics / Q000379:methods