Role of Eckhaus instability and pattern cracking in ultraslow dynamics of Kerr combs

The Eckhaus instability is a secondary instability of nonlinearspatiotemporal patterns in which high-wave-number periodicsolutions become unstable against small-wave-number perturbations.Here we show that this instability can take place in Kerr combscorresponding to subcritical Turing patterns upon...

Full description

Saved in:
Bibliographic Details
Published in:Physical review. A 2022-11, Vol.106 (5), Article 053518
Main Authors: Gomila, Damià, Parra-Rivas, Pedro, Colet, Pere, Coillet, Aurélien, Lin, Guoping, Daugey, Thomas, Diallo, Souleymane, Merolla, Jean-Marc, Chembo, Yanne K.
Format: Article
Language:English
Subjects:
Optics
Physics
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:The Eckhaus instability is a secondary instability of nonlinearspatiotemporal patterns in which high-wave-number periodicsolutions become unstable against small-wave-number perturbations.Here we show that this instability can take place in Kerr combscorresponding to subcritical Turing patterns upon changes in thelaser detuning. The development of the Eckhaus instability leads tothe cracking of patterns and a long-lived transient where the peaksof the pattern rearrange in space due to spatial interactions. Inthe spectral domain, this results in a metastable Kerr combdynamics with timescales that can be larger than 1 min. Thistime is, at least, seven orders of magnitude larger than theintracavity photon lifetime and is in sharp contrast with all thetransient behaviors reported so far in cavity nonlinear optics thatare typically only a few photon lifetimes long (i.e., in thepicosecond to the microsecond range). This phenomenology, studiedtheoretically in the Lugiato-Lefever model and the observeddynamics is compatible with experimental observations in Kerr combsgenerated in ultra-high-
ISSN:2469-9926
2469-9934
DOI:10.1103/PhysRevA.106.053518