Singly resonant second-harmonic-generation frequency combs

Year: 2017

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

Autors Affiliation: INRS-EMT, 1650 Boulevard Lionel-Boulet, Varennes, Quebec J3X 1S2, Canada; OPERA-photonics, Universite Libre de Bruxelles, 50 Avenue F. D. Roosevelt, CP 194/5, B-1050 Bruxelles, Belgium; The Dodd-Walls Centre for Photonic and Quantum Technologies, Department of Physics, The University of Auckland, Auckland 1142, New Zealand; CNR-INO, Istituto Nazionale di Ottica, Via Campi Flegrei 34, I-80078 Pozzuoli (NA), Italy; Dipartimento di Ingegneria dell’Informazione, Università di Brescia, Via Branze 38, I-25123 Brescia, Italy

Abstract: We consider frequency comb generation in dispersive singly resonant second-harmonic-generation cavity systems. Using a single temporal mean-field equation for the fundamental field that features a noninstantaneous nonlinear response function, we model the temporal and spectral dynamics and analyze comb generation, continuous wave bistability, and modulational instability. It is found that, owing to the significant temporal walk-off between the fundamental and second-harmonic fields, modulational instability can occur even in the complete absence of group-velocity dispersion. We further consider the relation of our model to a previously proposed modal expansion approach, and present a derivation of a general system of coupled mode equations. We show that the two models provide very similar predictions and become exactly equivalent in the limit that absorption losses and group-velocity dispersion at the fundamental frequency are neglected. Finally, we perform numerical simulations that show examples of the variety of comb states that are possible in phase-matched quadratic resonators, and discuss the dynamics of the comb formation process.


Volume: 95 (1)      Pages from: 013805-1  to: 013805-9

More Information: This work was funded by the Swedish Research Council (Grant No. 2013-7508), the Italian Ministry of University and Research (MIUR) (PRIN 2015KEZNYM (NEMO) and Progetto Premiale QUANTOM – Quantum Opto-Mechanics), the Rutherford Discovery Fellowships of the Royal Society of New Zealand, and the Marsden Fund of the Royal Society of New Zealand.
KeyWords: Dispersion (waves); Group velocity dispersion; Harmonic analysis; Harmonic generation; Light velocity; Modulation; Nonlinear equations; Nonlinear optics; Phase matching, Coupled mode equation; Formation process; Fundamental frequencies; Mean field equation; Modulational instability; Non-linear response; Second-harmonic fields; Temporal walk-off, Optical frequency conversion
DOI: 10.1103/PhysRevA.95.013805

Citations: 34
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