Excitability mediated by dissipative solitons in nonlinear optical cavities
Colet, Pere; Gomila, Damià; Jacobo, Adrian; Matías, Manuel A.
Dissipative Solitons: From Optics to Biology and Medicine (Nail Akhmediev & Adrian Ankiewicz, eds.), Springer-Verlag, 113-136 (2008)
Cavity solitons, which are dissipative solitons with a ﬁnite extension that
appear in the transverse plane of nonlinear optical cavities, have been advocated for
use in fast and compact optical information storage. We discuss the instabilities that
can affect cavity solitons appearing in Kerr cavities. In particular, cavity solitons
may exhibit a Hopf bifurcation leading to self-pulsating behavior, which is then
followed by the destruction of the oscillation in a saddle-loop bifurcation. Beyond
this point, there is a regime of excitable cavity solitons which appear when suitable
perturbations are applied. Excitability is characterized by the nonlinear response of
the system upon the application of an external stimulus. Only stimuli exceeding
a threshold value are able to elicit a full and well-deﬁned response in the system.
In the case of cavity solitons, excitability emerges from the spatial dependence,
since the system does not exhibit any excitable behavior locally. We demonstrate
the existence of two different mechanisms which lead to excitability, depending on
the proﬁle of the pump ﬁeld.