31 citations · 61 across the 4 of their papers we have counts for
9 papers
Localized structures in dispersive and doubly resonant optical parametric oscillators
P. Parra-Rivas, L. Gelens, F. Leo
We study temporally localized structures in doubly resonant degenerate optical parametric oscillators in the absence of temporal walk-off. We focus on states formed through the loc…
Origin, bifurcation structure and stability of localized states in Kerr dispersive optical cavities
P. Parra-Rivas, E. Knobloch, L. Gelens +1
Localized coherent structures can form in externally-driven dispersive optical cavities with a Kerr-type nonlinearity. Such systems are described by the Lugiato-Lefever equation, w…
Observation of the Eckhaus Instability in Whispering-Gallery Mode Resonators
Damià Gomila, Pedro Parra-Rivas, Pere Colet +6
The Eckhaus instability is a secondary instability of nonlinear spatiotemporal patterns in which high-wavenumber periodic solutions become unstable against small-wavenumber perturb…
Bifurcation structure of periodic patterns in the Lugiato-Lefever equation with anomalous dispersion
P. Parra-Rivas, D. Gomila, L. Gelens +1
We study the stability and bifurcation structure of spatially extended patterns arising in nonlin- ear optical resonators with a Kerr-type nonlinearity and anomalous group velocity…
Interaction of solitons and the formation of bound states in the generalized Lugiato-Lefever equation
P. Parra-Rivas, D. Gomila, P. Colet +1
Bound states, also called soliton molecules, can form as a result of the interaction between individual solitons. This interaction is mediated through the tails of each soliton tha…
Front interaction induces excitable behavior
P. Parra-Rivas, M. A. Matias, P. Colet +3
Spatially extended systems can support local transient excitations in which just a part of the system is excited. The mechanisms reported so far are local excitability and excitati…