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We consider a ring cavity filled with a nonlinear self-focusing Kerr
medium pumped by an external field. Localized structures (cavity
solitons) in the form of bright spots surrounded by a dark ring
appear in the transverse field under appropriate conditions [1].
For some region of the parameters this cavity solitons display an
oscillatory behavior and above certain threshold this behavior
becomes excitable [2]. This means that if the localized structure is
perturbed beyond certain threshold it grows to a large value and
then decays exponentially emitting a wave that dissipates the
remaining energy. Furthermore after one perturbation the cavity
soliton can not be excited again within a refractory period of time.
It is important to remark that the system itself it is not
excitable, and that the excitability only appears mediated by the
localized structure as an emergent effect coming from the spatial
dependence.
The wave emitted by one of this cavity solitons can excite the
excursion of another cavity soliton placed in a different location.
We study this interaction as a function of the distance between the
two localized structures.
References: 1. W.J. Firth, et al., J. Opt. Soc. Am. B 19, 747(2002). 2. D.Gomila,M. A. Matias, P. Colet. Phys. Rev. Lett. 94, 063905 (2005) |
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