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

Gian-Luca Oppo, Alison M. Yao, and Domenico Cuozzo
Phys. Rev. A 88, 043813 – Published 10 October 2013

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.

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  • Received 9 August 2013

DOI:https://doi.org/10.1103/PhysRevA.88.043813

©2013 American Physical Society

Authors & Affiliations

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

  • ICS, SUPA and Department of Physics, University of Strathclyde, Glasgow G4 0NG, Scotland, United Kingdom

  • *g.l.oppo@strath.ac.uk

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Vol. 88, Iss. 4 — October 2013

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