Impact of imbalancing in the self-splitting of beams with nested vortices into solitons in quadratic non-linear crystals

Gabriel Molina-Terriza; Juan P. Torres; Lluis Torner; J. M. Soto-Crespo

Impact of imbalancing in the self-splitting of beams with nested vortices into solitons in quadratic non-linear crystals

Gabriel Molina-Terriza, Juan P. Torres^*, Lluis Torner, J. M. Soto-Crespo

^*Corresponding author for this work

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

14 Citations (Scopus)

Abstract

We address the existence and instability of bright vortex solitary waves in quadratic non-linear media under conditions for Type II second-harmonic generation and study in detail the effects introduced by the presence of power imbalancing at the fundamental frequency. We find the families of solitary-wave solutions with different combinations of topological charges of the nested vortices and show their spontaneous azimuthal instability. The growth rates of the azimuthal perturbations are calculated as a function of the imbalancing. Experimental consequences are stressed and discussed.

Original language	English
Pages (from-to)	170-180
Number of pages	11
Journal	Optics Communications
Volume	158
Issue number	1-6
Publication status	Published - 15 Dec 1998
Externally published	Yes

Keywords

Soliton
Vortex

Cite this

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title = "Impact of imbalancing in the self-splitting of beams with nested vortices into solitons in quadratic non-linear crystals",

abstract = "We address the existence and instability of bright vortex solitary waves in quadratic non-linear media under conditions for Type II second-harmonic generation and study in detail the effects introduced by the presence of power imbalancing at the fundamental frequency. We find the families of solitary-wave solutions with different combinations of topological charges of the nested vortices and show their spontaneous azimuthal instability. The growth rates of the azimuthal perturbations are calculated as a function of the imbalancing. Experimental consequences are stressed and discussed.",

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T1 - Impact of imbalancing in the self-splitting of beams with nested vortices into solitons in quadratic non-linear crystals

AU - Molina-Terriza, Gabriel

AU - Torres, Juan P.

AU - Torner, Lluis

AU - Soto-Crespo, J. M.

PY - 1998/12/15

Y1 - 1998/12/15

N2 - We address the existence and instability of bright vortex solitary waves in quadratic non-linear media under conditions for Type II second-harmonic generation and study in detail the effects introduced by the presence of power imbalancing at the fundamental frequency. We find the families of solitary-wave solutions with different combinations of topological charges of the nested vortices and show their spontaneous azimuthal instability. The growth rates of the azimuthal perturbations are calculated as a function of the imbalancing. Experimental consequences are stressed and discussed.

AB - We address the existence and instability of bright vortex solitary waves in quadratic non-linear media under conditions for Type II second-harmonic generation and study in detail the effects introduced by the presence of power imbalancing at the fundamental frequency. We find the families of solitary-wave solutions with different combinations of topological charges of the nested vortices and show their spontaneous azimuthal instability. The growth rates of the azimuthal perturbations are calculated as a function of the imbalancing. Experimental consequences are stressed and discussed.

KW - Soliton

KW - Vortex

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M3 - Article

AN - SCOPUS:0032292217

SN - 0030-4018

VL - 158

SP - 170

EP - 180

JO - Optics Communications

JF - Optics Communications

IS - 1-6

ER -

Impact of imbalancing in the self-splitting of beams with nested vortices into solitons in quadratic non-linear crystals

Abstract

Keywords

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