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

Oppo, Gian-Luca and Yao, Alison M. and Cuozzo, Domenico (2013) Self-organization, pattern formation, cavity solitons, and rogue waves in singly resonant optical parametric oscillators. Physical Review A, 88 (4). ISSN 1094-1622

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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.