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: The Dodd-Walls Centre for Photonic and Quantum Technologies, Department of Physics, The University of Auckland,
Auckland 1142, New Zealand; Department of Applied Physics, Chalmers University of Technology, SE-41296 Göteborg, Sweden;
Dipartimento di Ingegneria dell’Informazione, Università di Brescia, via Branze 38, 25123 Brescia, Italy; CNR-INO, Istituto Nazionale di Ottica, Via Campi Flegrei 34, 80078 Pozzuoli (NA), 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.


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: 99
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