Walk-Off-Induced Modulation Instability, Temporal Pattern Formation, and Frequency Comb Generation in Cavity-Enhanced Second-Harmonic Generation

Year: 2016

Authors: Leo F., Hansson T., Ricciardi I., De Rosa M., Coen S., Wabnitz S., Erkintalo M.

Autors Affiliation: Univ Auckland, Dept Phys, Dodd Walls Ctr Photon & Quantum Technol, Auckland 1142, New Zealand; Chalmers, Dept Appl Phys, SE-41296 Gothenburg, Sweden; Univ Brescia, Dipartimento Ingn Informaz, Via Branze 38, I-25123 Brescia, Italy; CNR, INO, Via Campi Flegrei 34, I-80078 Pozzuoli, Italy.

Abstract: We derive a time-domain mean-field equation to model the full temporal and spectral dynamics of light in singly resonant cavity-enhanced second-harmonic generation systems. We show that the temporal walk-off between the fundamental and the second-harmonic fields plays a decisive role under realistic conditions, giving rise to rich, previously unidentified nonlinear behavior. Through linear stability analysis and numerical simulations, we discover a new kind of quadratic modulation instability which leads to the formation of optical frequency combs and associated time-domain dissipative structures. Our numerical simulations show excellent agreement with recent experimental observations of frequency combs in quadratic nonlinear media [Phys. Rev. A 91, 063839 (2015)]. Thus, in addition to unveiling a new, experimentally accessible regime of nonlinear dynamics, our work enables predictive modeling of frequency comb generation in cavity-enhanced second-harmonic generation systems. We expect our findings to have wide impact on the study of temporal and spectral dynamics in a diverse range of dispersive, quadratically nonlinear resonators.

Journal/Review: PHYSICAL REVIEW LETTERS

Volume: 116 (3)      Pages from: 033901-1  to: 033901-6

More Information: We are grateful to Gian-Luca Oppo for useful discussions. We acknowledge support from the Marsden Fund and the Rutherford Discovery Fellowships administered by The Royal Society of New Zealand, the Swedish Research Council (Grant No. 2013-7508), the Finnish Cultural Foundation, and the Italian Ministry of University and Research (Grant No. 2012BFNWZ2 and Progetto Premiale QUANTOM-Quantum Opto-Mechanics).
KeyWords: Dynamics; Frequency domain analysis; Harmonic analysis; Linear stability analysis; Modulation; Nonlinear optics; Numerical models; Optical frequency conversion; Time domain analysis, Dissipative structure; Induced modulation instability; Modulation instabilities; Nonlinear resonators; Optical frequency combs; Quadratic nonlinear media; Resonant cavity enhanced; Second-harmonic fields, Harmonic generation
DOI: 10.1103/PhysRevLett.116.033901

Citations: 102
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