Theory of quadratic optical frequency combs
Authors: Hansson T., Leo F., Erkintalo M., Coen S., Ricciardi I., De Rosa M., Wabnitz S.
Autors Affiliation: Department of Applied Physics, Chalmers University of Technology, Göteborg, SE-41296, Sweden; Dipartimento di Ingegneria dell’Informazione, Università di Brescia, via Branze 38, Brescia, 25123, Italy; Dodd-Walls Centre, Department of Physics, University of Auckland, Auckland, 1142, New Zealand; CNR-INO, Istituto Nazionale di Ottica, Via Campi Flegrei 34, Pozzuoli (NA), 80078, Italy
Abstract: We present theoretical studies of optical frequency comb generation in dispersive quadratically nonlinear resonators. We introduce a mean field equation approach to model cavity enhanced second harmonic generation and find excellent agreement with recent experimental frequency comb observations. We also develop a more general approach based on a single envelope equation for both quadratic and Kerr nonlinear cavities.
KeyWords: Fiber optic networks; Harmonic generation; Natural frequencies; Nonlinear equations; Optical frequency conversion; Optical materials; Optical parametric oscillators; Optical resonators; Parametric oscillators; Resonators; Transparent optical networks, Envelope equations; Experimental frequencies; Mean field equation; Nonlinear cavities; Nonlinear resonators; Optical frequency comb generation; Optical frequency combs; Parametric process, Nonlinear optics