Rotating multipole vortex solitons in nonlocal media

Daniel Buccoliero; Anton S. Desyatnikov; Wieslaw Krolikowski; Yuri S. Kivshar

doi:10.1117/12.750113

Rotating multipole vortex solitons in nonlocal media

Daniel Buccoliero^*, Anton S. Desyatnikov, Wieslaw Krolikowski, Yuri S. Kivshar

^*Corresponding author for this work

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

1 Citation (Scopus)

Abstract

We develop a general approach to the problem of the propagation dynamics of higher-order multipole spatial solitons in nonlocal nonlinear media. By introducing the generalized Hermite-Laguerre-Gaussian ansatz similar to the corresponding linear modes, we construct nonlocal solitons by means of the variational approach and then find them numerically as stationary states. We then study the example of a tripole-like structure with nonzero angular momentum and investigate the stable propagation of such a beam in optical media with a nonlocal Gaussian response. Our results provide the first example of a self-trapped multi-vortex beam in self-focusing nonlinear media.

Original language	English
Title of host publication	ICONO 2007
Subtitle of host publication	Nonlinear Space-Time Dynamics
DOIs	https://doi.org/10.1117/12.750113
Publication status	Published - 2007
Event	ICONO 2007: Nonlinear Space-Time Dynamics - Minsk, Belarus Duration: 28 May 2007 → 1 Jun 2007

Publication series

Name	Proceedings of SPIE - The International Society for Optical Engineering
Volume	6725
ISSN (Print)	0277-786X

Conference

Conference	ICONO 2007: Nonlinear Space-Time Dynamics
Country/Territory	Belarus
City	Minsk
Period	28/05/07 → 1/06/07

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10.1117/12.750113

Cite this

@inproceedings{6884e93a2d08461b82b53c06fe7be3f4,

title = "Rotating multipole vortex solitons in nonlocal media",

abstract = "We develop a general approach to the problem of the propagation dynamics of higher-order multipole spatial solitons in nonlocal nonlinear media. By introducing the generalized Hermite-Laguerre-Gaussian ansatz similar to the corresponding linear modes, we construct nonlocal solitons by means of the variational approach and then find them numerically as stationary states. We then study the example of a tripole-like structure with nonzero angular momentum and investigate the stable propagation of such a beam in optical media with a nonlocal Gaussian response. Our results provide the first example of a self-trapped multi-vortex beam in self-focusing nonlinear media.",

keywords = "Nonlocality, Propagation dynamics, Spatial solitons, Vortex beams",

author = "Daniel Buccoliero and Desyatnikov, {Anton S.} and Wieslaw Krolikowski and Kivshar, {Yuri S.}",

year = "2007",

doi = "10.1117/12.750113",

language = "English",

isbn = "0819468827",

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

booktitle = "ICONO 2007",

note = "ICONO 2007: Nonlinear Space-Time Dynamics ; Conference date: 28-05-2007 Through 01-06-2007",

}

Rotating multipole vortex solitons in nonlocal media. / Buccoliero, Daniel; Desyatnikov, Anton S.; Krolikowski, Wieslaw et al.
ICONO 2007: Nonlinear Space-Time Dynamics. 2007. 672507 (Proceedings of SPIE - The International Society for Optical Engineering; Vol. 6725).

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

TY - GEN

T1 - Rotating multipole vortex solitons in nonlocal media

AU - Buccoliero, Daniel

AU - Desyatnikov, Anton S.

AU - Krolikowski, Wieslaw

AU - Kivshar, Yuri S.

PY - 2007

Y1 - 2007

N2 - We develop a general approach to the problem of the propagation dynamics of higher-order multipole spatial solitons in nonlocal nonlinear media. By introducing the generalized Hermite-Laguerre-Gaussian ansatz similar to the corresponding linear modes, we construct nonlocal solitons by means of the variational approach and then find them numerically as stationary states. We then study the example of a tripole-like structure with nonzero angular momentum and investigate the stable propagation of such a beam in optical media with a nonlocal Gaussian response. Our results provide the first example of a self-trapped multi-vortex beam in self-focusing nonlinear media.

AB - We develop a general approach to the problem of the propagation dynamics of higher-order multipole spatial solitons in nonlocal nonlinear media. By introducing the generalized Hermite-Laguerre-Gaussian ansatz similar to the corresponding linear modes, we construct nonlocal solitons by means of the variational approach and then find them numerically as stationary states. We then study the example of a tripole-like structure with nonzero angular momentum and investigate the stable propagation of such a beam in optical media with a nonlocal Gaussian response. Our results provide the first example of a self-trapped multi-vortex beam in self-focusing nonlinear media.

KW - Nonlocality

KW - Propagation dynamics

KW - Spatial solitons

KW - Vortex beams

UR - http://www.scopus.com/inward/record.url?scp=36349016611&partnerID=8YFLogxK

U2 - 10.1117/12.750113

DO - 10.1117/12.750113

M3 - Conference contribution

SN - 0819468827

SN - 9780819468826

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

BT - ICONO 2007

T2 - ICONO 2007: Nonlinear Space-Time Dynamics

Y2 - 28 May 2007 through 1 June 2007

ER -

Rotating multipole vortex solitons in nonlocal media

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