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.
© 2012 Optical Society of America
Original Manuscript: October 31, 2012
Manuscript Accepted: November 20, 2012
Published: December 21, 2012
Stéphane Coen, Hamish G. Randle, Thibaut Sylvestre, and Miro Erkintalo, "Modeling of octave-spanning Kerr frequency combs using a generalized mean-field Lugiato–Lefever model," Opt. Lett. 38, 37-39 (2013)