Self-organization, pattern formation, cavity solitons, and rogue waves in singly resonant optical parametric oscillators

Gian-Luca Oppo, Alison M. Yao, Domenico Cuozzo

Research output: Contribution to journalArticle

15 Citations (Scopus)

Abstract

The spatiotemporal dynamics of singly resonant optical parametric oscillators with external seeding displays hexagonal, roll, and honeycomb patterns, optical turbulence, rogue waves, and cavity solitons. We derive appropriate mean-field equations with a sinc2 nonlinearity and demonstrate that off-resonance seeding is necessary and responsible for the formation of complex spatial structures via self-organization. We compare this model with those derived close to the threshold of signal generation and find that back-conversion of signal and idler photons is responsible for multiple regions of spatiotemporal self-organization when increasing the power of the pump field.
LanguageEnglish
Article number043813
Number of pages10
JournalPhysical Review A
Volume88
Issue number4
DOIs
Publication statusPublished - 10 Oct 2013

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inoculation
parametric amplifiers
solitary waves
cavities
turbulence
nonlinearity
pumps
thresholds
photons

Keywords

  • optical parametric oscillators
  • cavity soliton
  • rogue waves
  • pattern formation

Cite this

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Self-organization, pattern formation, cavity solitons, and rogue waves in singly resonant optical parametric oscillators. / Oppo, Gian-Luca; Yao, Alison M.; Cuozzo, Domenico.

In: Physical Review A, Vol. 88, No. 4, 043813, 10.10.2013.

Research output: Contribution to journalArticle

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AU - Cuozzo, Domenico

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AB - The spatiotemporal dynamics of singly resonant optical parametric oscillators with external seeding displays hexagonal, roll, and honeycomb patterns, optical turbulence, rogue waves, and cavity solitons. We derive appropriate mean-field equations with a sinc2 nonlinearity and demonstrate that off-resonance seeding is necessary and responsible for the formation of complex spatial structures via self-organization. We compare this model with those derived close to the threshold of signal generation and find that back-conversion of signal and idler photons is responsible for multiple regions of spatiotemporal self-organization when increasing the power of the pump field.

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