Modeling of octave-spanning Kerr frequency combs using a generalized mean-field Lugiato-Lefever model

A generalized Lugiato-Lefever equation is numerically solved with a Newton-Raphson method to model Kerr frequency combs. We obtain excellent agreement with past experiments, even for an octave-spanning comb. Simulations are much faster than with any other technique despite including more modes than ever before. Our study reveals that Kerr combs are associated with temporal cavity solitons and dispersive waves, and opens up new avenues for the understanding of Kerr comb formation.Comment: 3 pages, 3 figures. Submitted to Optics Letters on 31 October 2012, accepted with minor/optional revisions. This version is the revised manuscrip

Steady-state and instabilities of octave-spanning Kerr frequency combs modeled using a generalized Lugatio-Lefever equation

International audienceA generalized Lugiato-Lefever equation is numerically solved to model Kerr frequency combs. Excellent agreement is obtained with past experiments. Simulations are orders-of-magnitude faster than with any other technique and reveal different regimes of comb stability