Two-dimensional beams of dissipative antisolitons

A. Ankiewicz; J. M. Soto-Crespo; N. Devine; N. Akhmediev

doi:10.1117/12.760937

Two-dimensional beams of dissipative antisolitons

A. Ankiewicz^*, J. M. Soto-Crespo, N. Devine, N. Akhmediev

^*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

By using a reduced model for dissipative optical soliton beams, we show that there are two disjoint sets of fixed points. These correspond to stationary solitons of the radial complex cubic-quintic Ginzburg -Landau equation with concave and convex phase profiles, respectively. We confirm these results by numerical simulations which reveal soliton solutions of two different types: continuously self-focussing and continuously self-defocusing.

Original language	English
Title of host publication	Complex Systems II
DOIs	https://doi.org/10.1117/12.760937
Publication status	Published - 2008
Event	Complex Systems II - Canberra, Australia Duration: 5 Dec 2007 → 7 Dec 2007

Publication series

Name	Proceedings of SPIE - The International Society for Optical Engineering
Volume	6802
ISSN (Print)	0277-786X

Conference

Conference	Complex Systems II
Country/Territory	Australia
City	Canberra
Period	5/12/07 → 7/12/07

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10.1117/12.760937

Cite this

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title = "Two-dimensional beams of dissipative antisolitons",

abstract = "By using a reduced model for dissipative optical soliton beams, we show that there are two disjoint sets of fixed points. These correspond to stationary solitons of the radial complex cubic-quintic Ginzburg -Landau equation with concave and convex phase profiles, respectively. We confirm these results by numerical simulations which reveal soliton solutions of two different types: continuously self-focussing and continuously self-defocusing.",

keywords = "Dissipative solitons, Ginzburg-Landau equation, Method of moments",

author = "A. Ankiewicz and Soto-Crespo, {J. M.} and N. Devine and N. Akhmediev",

year = "2008",

doi = "10.1117/12.760937",

language = "English",

isbn = "9780819469731",

series = "Proceedings of SPIE - The International Society for Optical Engineering",

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note = "Complex Systems II ; Conference date: 05-12-2007 Through 07-12-2007",

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T1 - Two-dimensional beams of dissipative antisolitons

AU - Ankiewicz, A.

AU - Soto-Crespo, J. M.

AU - Devine, N.

AU - Akhmediev, N.

PY - 2008

Y1 - 2008

N2 - By using a reduced model for dissipative optical soliton beams, we show that there are two disjoint sets of fixed points. These correspond to stationary solitons of the radial complex cubic-quintic Ginzburg -Landau equation with concave and convex phase profiles, respectively. We confirm these results by numerical simulations which reveal soliton solutions of two different types: continuously self-focussing and continuously self-defocusing.

AB - By using a reduced model for dissipative optical soliton beams, we show that there are two disjoint sets of fixed points. These correspond to stationary solitons of the radial complex cubic-quintic Ginzburg -Landau equation with concave and convex phase profiles, respectively. We confirm these results by numerical simulations which reveal soliton solutions of two different types: continuously self-focussing and continuously self-defocusing.

KW - Dissipative solitons

KW - Ginzburg-Landau equation

KW - Method of moments

UR - http://www.scopus.com/inward/record.url?scp=41149093421&partnerID=8YFLogxK

U2 - 10.1117/12.760937

DO - 10.1117/12.760937

M3 - Conference contribution

SN - 9780819469731

T3 - Proceedings of SPIE - The International Society for Optical Engineering

BT - Complex Systems II

T2 - Complex Systems II

Y2 - 5 December 2007 through 7 December 2007

ER -

Two-dimensional beams of dissipative antisolitons

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