Noise bandwidth dependence of soliton phase in simulations of stochastic nonlinear Schrödinger equations

Daniel S. Cargill; Richard O. Moore; C. J. McKinstrie

doi:10.1364/OL.36.001659

Noise bandwidth dependence of soliton phase in simulations of stochastic nonlinear Schrödinger equations

Daniel S. Cargill, Richard O. Moore, C. J. McKinstrie

Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

We demonstrate that soliton perturbation theory, though widely used, predicts an incorrect phase distribution for solitons of stochastically driven nonlinear Schrödinger equations in physically relevant parameter regimes. We propose a simple variational model that accounts for the effect of radiation on phase evolution and correctly predicts its distribution.

Original language	English (US)
Pages (from-to)	1659-1661
Number of pages	3
Journal	Optics Letters
Volume	36
Issue number	9
DOIs	https://doi.org/10.1364/OL.36.001659
State	Published - May 1 2011

All Science Journal Classification (ASJC) codes

Atomic and Molecular Physics, and Optics

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title = "Noise bandwidth dependence of soliton phase in simulations of stochastic nonlinear Schr{\"o}dinger equations",

abstract = "We demonstrate that soliton perturbation theory, though widely used, predicts an incorrect phase distribution for solitons of stochastically driven nonlinear Schr{\"o}dinger equations in physically relevant parameter regimes. We propose a simple variational model that accounts for the effect of radiation on phase evolution and correctly predicts its distribution.",

author = "Cargill, {Daniel S.} and Moore, {Richard O.} and McKinstrie, {C. J.}",

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AU - Cargill, Daniel S.

AU - Moore, Richard O.

AU - McKinstrie, C. J.

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Y1 - 2011/5/1

N2 - We demonstrate that soliton perturbation theory, though widely used, predicts an incorrect phase distribution for solitons of stochastically driven nonlinear Schrödinger equations in physically relevant parameter regimes. We propose a simple variational model that accounts for the effect of radiation on phase evolution and correctly predicts its distribution.

AB - We demonstrate that soliton perturbation theory, though widely used, predicts an incorrect phase distribution for solitons of stochastically driven nonlinear Schrödinger equations in physically relevant parameter regimes. We propose a simple variational model that accounts for the effect of radiation on phase evolution and correctly predicts its distribution.

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EP - 1661

JO - Optics Letters

JF - Optics Letters

IS - 9

ER -

Noise bandwidth dependence of soliton phase in simulations of stochastic nonlinear Schrödinger equations

Abstract

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