Localized waves in optical systems with periodic dispersion and nonlinearity management

Brandon Bale, Sonia Boscolo, O.Y. Schwartz, Sergei Turitsyn

Research output: Contribution to journalArticle

Abstract

We overview our recent developments in the theory of dispersion-managed (DM)
solitons within the context of optical applications. First, we present a class of localized solutions with a period multiple to that of the standard DM soliton in the nonlinear Schrödinger equation with periodic variations of the dispersion. In the framework of a reduced ordinary differential equation-based model, we discuss the key features of these structures, such as a smaller energy compared to traditional DM solitons with the same temporal width. Next, we present new results on dissipative DM solitons, which occur in the context of mode-locked lasers. By means of numerical simulations and a reduced variational model of the complex Ginzburg-Landau equation, we analyze the influence of the different dissipative processes that take place in a laser.
Original languageEnglish
Article number181467
Number of pages13
JournalInternational Journal of Optics
Volume2009
DOIs
Publication statusPublished - Jun 2009

Fingerprint

Optical systems
Solitons
nonlinearity
solitary waves
Lasers
Landau-Ginzburg equations
Laser modes
Nonlinear equations
Ordinary differential equations
nonlinear equations
lasers
periodic variations
differential equations
Computer simulation
simulation
energy

Bibliographical note

Copyright © 2009 Brandon G. Bale et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Cite this

@article{1424ec3132fc4de09551da332a8b0185,
title = "Localized waves in optical systems with periodic dispersion and nonlinearity management",
abstract = "We overview our recent developments in the theory of dispersion-managed (DM)solitons within the context of optical applications. First, we present a class of localized solutions with a period multiple to that of the standard DM soliton in the nonlinear Schr{\"o}dinger equation with periodic variations of the dispersion. In the framework of a reduced ordinary differential equation-based model, we discuss the key features of these structures, such as a smaller energy compared to traditional DM solitons with the same temporal width. Next, we present new results on dissipative DM solitons, which occur in the context of mode-locked lasers. By means of numerical simulations and a reduced variational model of the complex Ginzburg-Landau equation, we analyze the influence of the different dissipative processes that take place in a laser.",
author = "Brandon Bale and Sonia Boscolo and O.Y. Schwartz and Sergei Turitsyn",
note = "Copyright {\circledC} 2009 Brandon G. Bale et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.",
year = "2009",
month = "6",
doi = "10.1155/2009/181467",
language = "English",
volume = "2009",
journal = "International Journal of Optics",
issn = "1687-9384",
publisher = "Hindawi Publishing Corporation",

}

Localized waves in optical systems with periodic dispersion and nonlinearity management. / Bale, Brandon; Boscolo, Sonia; Schwartz, O.Y.; Turitsyn, Sergei.

In: International Journal of Optics, Vol. 2009, 181467, 06.2009.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Localized waves in optical systems with periodic dispersion and nonlinearity management

AU - Bale, Brandon

AU - Boscolo, Sonia

AU - Schwartz, O.Y.

AU - Turitsyn, Sergei

N1 - Copyright © 2009 Brandon G. Bale et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

PY - 2009/6

Y1 - 2009/6

N2 - We overview our recent developments in the theory of dispersion-managed (DM)solitons within the context of optical applications. First, we present a class of localized solutions with a period multiple to that of the standard DM soliton in the nonlinear Schrödinger equation with periodic variations of the dispersion. In the framework of a reduced ordinary differential equation-based model, we discuss the key features of these structures, such as a smaller energy compared to traditional DM solitons with the same temporal width. Next, we present new results on dissipative DM solitons, which occur in the context of mode-locked lasers. By means of numerical simulations and a reduced variational model of the complex Ginzburg-Landau equation, we analyze the influence of the different dissipative processes that take place in a laser.

AB - We overview our recent developments in the theory of dispersion-managed (DM)solitons within the context of optical applications. First, we present a class of localized solutions with a period multiple to that of the standard DM soliton in the nonlinear Schrödinger equation with periodic variations of the dispersion. In the framework of a reduced ordinary differential equation-based model, we discuss the key features of these structures, such as a smaller energy compared to traditional DM solitons with the same temporal width. Next, we present new results on dissipative DM solitons, which occur in the context of mode-locked lasers. By means of numerical simulations and a reduced variational model of the complex Ginzburg-Landau equation, we analyze the influence of the different dissipative processes that take place in a laser.

UR - http://www.scopus.com/inward/record.url?scp=70350549752&partnerID=8YFLogxK

UR - http://www.hindawi.com/journals/ijo/2009/181467/

U2 - 10.1155/2009/181467

DO - 10.1155/2009/181467

M3 - Article

VL - 2009

JO - International Journal of Optics

JF - International Journal of Optics

SN - 1687-9384

M1 - 181467

ER -