Bichromatically pumped microresonator frequency combs

Year: 2014

Authors: Hansson T., Wabnitz S.

Autors Affiliation: Dipartimento di Ingegneria dell\’Informazione, Università di Brescia, via Branze 38, 25123 Brescia, Italy; Department of Applied Physics, Chalmers University of Technology, SE-41296 Göteborg, Sweden

Abstract: A study is made of the nonlinear dynamics of bichromatically pumped microresonator Kerr frequency combs described by a driven and damped nonlinear Schrödinger equation, with an additional degree of freedom in the form of the modulation frequency. A truncated four-wave model is derived for the pump modes and the dominant sideband pair, which is found to be able to describe much of the essential dynamical behavior of the full equation. The stability of stationary states within the four-wave model is investigated, and numerical simulations are made to demonstrate that a large range of solutions, including cavity solitons, are possible beyond previously considered low-intensity patterns.

Journal/Review: PHYSICAL REVIEW A

Volume: 90 (1)      Pages from: 013811-1  to: 013811-7

KeyWords: Dynamics; Nonlinear equations; Solitons, Cavity solitons; Degree of freedom; Dinger equation; Dynamical behaviors; Frequency combs; Micro resonators; Modulation frequencies; Stability of stationary state, Resonators
DOI: 10.1103/PhysRevA.90.013811