Characterization, dynamics and stabilization of diffractive domain walls and dark ring cavity solitons in optical parametric oscillators

W.J. Firth, A. Scroggie, G.L. Oppo

Research output: Contribution to journalArticle

82 Citations (Scopus)

Abstract

Mean field models of spatially extended degenerate optical parametric oscillators possess one-dimensional stable domain wall solutions in the presence of diffraction. We characterize these structures as spiral heteroclinic connections and study the spatial frequency of the local oscillations of the signal intensity which distinguish them from diffusion kinks. Close to threshold, at resonance or with positive detunings, the dynamics of two-dimensional diffractive domain walls is ruled by curvature effects with a t1/2 growth law, and coalescence of domains is observed. In this regime, we show how to stabilize regular and irregular distributions of two-dimensional domain walls by injection of a helical wave at the pump frequency. Further above threshold the shrinking of domains of one phase embedded in the other is stopped by the interaction of the oscillatory tails of the domain walls, leading to cavity solitons surrounded by a characteristic dark ring. We investigate the nature and stability of these localized states, provide evidence of their solitonic character, show that they correspond to spiral homoclinic orbits and find that their threshold of appearance lowers with increasing pump cavity finesse.
LanguageEnglish
Pages066209 -066225
JournalPhysical Review E: Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume63
Issue number6
DOIs
Publication statusPublished - 2001

Fingerprint

Optical Parametric Oscillator
Domain Wall
parametric amplifiers
domain wall
Solitons
Cavity
Stabilization
stabilization
solitary waves
Ring
cavities
rings
Pump
thresholds
Heteroclinic Connection
pumps
Mean-field Model
Homoclinic Orbit
Coalescence
Kink

Keywords

  • optical parametric oscillators
  • optics
  • physics
  • solitons
  • diffractive domain

Cite this

@article{aabce41a79e1438ca32824afa64f735c,
title = "Characterization, dynamics and stabilization of diffractive domain walls and dark ring cavity solitons in optical parametric oscillators",
abstract = "Mean field models of spatially extended degenerate optical parametric oscillators possess one-dimensional stable domain wall solutions in the presence of diffraction. We characterize these structures as spiral heteroclinic connections and study the spatial frequency of the local oscillations of the signal intensity which distinguish them from diffusion kinks. Close to threshold, at resonance or with positive detunings, the dynamics of two-dimensional diffractive domain walls is ruled by curvature effects with a t1/2 growth law, and coalescence of domains is observed. In this regime, we show how to stabilize regular and irregular distributions of two-dimensional domain walls by injection of a helical wave at the pump frequency. Further above threshold the shrinking of domains of one phase embedded in the other is stopped by the interaction of the oscillatory tails of the domain walls, leading to cavity solitons surrounded by a characteristic dark ring. We investigate the nature and stability of these localized states, provide evidence of their solitonic character, show that they correspond to spiral homoclinic orbits and find that their threshold of appearance lowers with increasing pump cavity finesse.",
keywords = "optical parametric oscillators, optics, physics, solitons, diffractive domain",
author = "W.J. Firth and A. Scroggie and G.L. Oppo",
year = "2001",
doi = "10.1103/PhysRevE.63.066209",
language = "English",
volume = "63",
pages = "066209 --066225",
journal = "Physical Review E",
issn = "1539-3755",
publisher = "American Physical Society",
number = "6",

}

TY - JOUR

T1 - Characterization, dynamics and stabilization of diffractive domain walls and dark ring cavity solitons in optical parametric oscillators

AU - Firth, W.J.

AU - Scroggie, A.

AU - Oppo, G.L.

PY - 2001

Y1 - 2001

N2 - Mean field models of spatially extended degenerate optical parametric oscillators possess one-dimensional stable domain wall solutions in the presence of diffraction. We characterize these structures as spiral heteroclinic connections and study the spatial frequency of the local oscillations of the signal intensity which distinguish them from diffusion kinks. Close to threshold, at resonance or with positive detunings, the dynamics of two-dimensional diffractive domain walls is ruled by curvature effects with a t1/2 growth law, and coalescence of domains is observed. In this regime, we show how to stabilize regular and irregular distributions of two-dimensional domain walls by injection of a helical wave at the pump frequency. Further above threshold the shrinking of domains of one phase embedded in the other is stopped by the interaction of the oscillatory tails of the domain walls, leading to cavity solitons surrounded by a characteristic dark ring. We investigate the nature and stability of these localized states, provide evidence of their solitonic character, show that they correspond to spiral homoclinic orbits and find that their threshold of appearance lowers with increasing pump cavity finesse.

AB - Mean field models of spatially extended degenerate optical parametric oscillators possess one-dimensional stable domain wall solutions in the presence of diffraction. We characterize these structures as spiral heteroclinic connections and study the spatial frequency of the local oscillations of the signal intensity which distinguish them from diffusion kinks. Close to threshold, at resonance or with positive detunings, the dynamics of two-dimensional diffractive domain walls is ruled by curvature effects with a t1/2 growth law, and coalescence of domains is observed. In this regime, we show how to stabilize regular and irregular distributions of two-dimensional domain walls by injection of a helical wave at the pump frequency. Further above threshold the shrinking of domains of one phase embedded in the other is stopped by the interaction of the oscillatory tails of the domain walls, leading to cavity solitons surrounded by a characteristic dark ring. We investigate the nature and stability of these localized states, provide evidence of their solitonic character, show that they correspond to spiral homoclinic orbits and find that their threshold of appearance lowers with increasing pump cavity finesse.

KW - optical parametric oscillators

KW - optics

KW - physics

KW - solitons

KW - diffractive domain

UR - http://dx.doi.org/10.1103/PhysRevE.63.066209

U2 - 10.1103/PhysRevE.63.066209

DO - 10.1103/PhysRevE.63.066209

M3 - Article

VL - 63

SP - 66209

EP - 66225

JO - Physical Review E

T2 - Physical Review E

JF - Physical Review E

SN - 1539-3755

IS - 6

ER -