On the theory of self-similar parabolic optical pulses

Research output: Contribution to conferenceAbstract

Abstract

Self-similar optical pulses (or “similaritons”) of parabolic intensity profile can be found as asymptotic solutions of the nonlinear Schr¨odinger equation in a gain medium such as a fiber amplifier or laser resonator. These solutions represent a wide-ranging significance example of dissipative nonlinear structures in optics.
Here, we address some issues related to the formation and evolution of parabolic pulses in a fiber gain medium by means of semi-analytic approaches. In particular, the effect of the third-order dispersion on the structure of the asymptotic solution is examined. Our analysis is based on the resolution of ordinary differential equations, which enable us to describe the main properties of the pulse propagation and structural characteristics observable through direct numerical simulations of the basic partial differential equation model with sufficient accuracy.
Original languageEnglish
Pages4
Number of pages1
Publication statusPublished - Jun 2006
Event4th Workshop on Nonlinear Physics: Theory and Experiment IV - Baia Verde, Italy
Duration: 22 Jun 20061 Jul 2006

Conference

Conference4th Workshop on Nonlinear Physics: Theory and Experiment IV
CountryItaly
CityBaia Verde
Period22/06/061/07/06

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pulses
fibers
direct numerical simulation
partial differential equations
nonlinear equations
differential equations
amplifiers
resonators
optics
propagation
profiles
lasers

Cite this

Boscolo, S., & Turitsyn, S. K. (2006). On the theory of self-similar parabolic optical pulses. 4. Abstract from 4th Workshop on Nonlinear Physics: Theory and Experiment IV, Baia Verde, Italy.
Boscolo, Sonia ; Turitsyn, Sergei K. / On the theory of self-similar parabolic optical pulses. Abstract from 4th Workshop on Nonlinear Physics: Theory and Experiment IV, Baia Verde, Italy.1 p.
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abstract = "Self-similar optical pulses (or “similaritons”) of parabolic intensity profile can be found as asymptotic solutions of the nonlinear Schr¨odinger equation in a gain medium such as a fiber amplifier or laser resonator. These solutions represent a wide-ranging significance example of dissipative nonlinear structures in optics.Here, we address some issues related to the formation and evolution of parabolic pulses in a fiber gain medium by means of semi-analytic approaches. In particular, the effect of the third-order dispersion on the structure of the asymptotic solution is examined. Our analysis is based on the resolution of ordinary differential equations, which enable us to describe the main properties of the pulse propagation and structural characteristics observable through direct numerical simulations of the basic partial differential equation model with sufficient accuracy.",
author = "Sonia Boscolo and Turitsyn, {Sergei K}",
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note = "4th Workshop on Nonlinear Physics: Theory and Experiment IV ; Conference date: 22-06-2006 Through 01-07-2006",

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Boscolo, S & Turitsyn, SK 2006, 'On the theory of self-similar parabolic optical pulses', 4th Workshop on Nonlinear Physics: Theory and Experiment IV, Baia Verde, Italy, 22/06/06 - 1/07/06 pp. 4.

On the theory of self-similar parabolic optical pulses. / Boscolo, Sonia; Turitsyn, Sergei K.

2006. 4 Abstract from 4th Workshop on Nonlinear Physics: Theory and Experiment IV, Baia Verde, Italy.

Research output: Contribution to conferenceAbstract

TY - CONF

T1 - On the theory of self-similar parabolic optical pulses

AU - Boscolo, Sonia

AU - Turitsyn, Sergei K

PY - 2006/6

Y1 - 2006/6

N2 - Self-similar optical pulses (or “similaritons”) of parabolic intensity profile can be found as asymptotic solutions of the nonlinear Schr¨odinger equation in a gain medium such as a fiber amplifier or laser resonator. These solutions represent a wide-ranging significance example of dissipative nonlinear structures in optics.Here, we address some issues related to the formation and evolution of parabolic pulses in a fiber gain medium by means of semi-analytic approaches. In particular, the effect of the third-order dispersion on the structure of the asymptotic solution is examined. Our analysis is based on the resolution of ordinary differential equations, which enable us to describe the main properties of the pulse propagation and structural characteristics observable through direct numerical simulations of the basic partial differential equation model with sufficient accuracy.

AB - Self-similar optical pulses (or “similaritons”) of parabolic intensity profile can be found as asymptotic solutions of the nonlinear Schr¨odinger equation in a gain medium such as a fiber amplifier or laser resonator. These solutions represent a wide-ranging significance example of dissipative nonlinear structures in optics.Here, we address some issues related to the formation and evolution of parabolic pulses in a fiber gain medium by means of semi-analytic approaches. In particular, the effect of the third-order dispersion on the structure of the asymptotic solution is examined. Our analysis is based on the resolution of ordinary differential equations, which enable us to describe the main properties of the pulse propagation and structural characteristics observable through direct numerical simulations of the basic partial differential equation model with sufficient accuracy.

M3 - Abstract

SP - 4

ER -

Boscolo S, Turitsyn SK. On the theory of self-similar parabolic optical pulses. 2006. Abstract from 4th Workshop on Nonlinear Physics: Theory and Experiment IV, Baia Verde, Italy.