Strong nonlocal interaction stabilizes cavity solitons with a varying size plateau

Cristian Fernandez-Oto; Mustapha Tlidi; Daniel Escaff; Marcel Clerc; Pascal Kockaert

doi:10.1117/12.2052425

1 May 2014 Strong nonlocal interaction stabilizes cavity solitons with a varying size plateau

Cristian Fernandez-Oto, Mustapha Tlidi, Daniel Escaff, Marcel Clerc, Pascal Kockaert

Proceedings Volume 9136, Nonlinear Optics and Its Applications VIII; and Quantum Optics III; 91360K (2014) https://doi.org/10.1117/12.2052425
Event: SPIE Photonics Europe, 2014, Brussels, Belgium

Abstract

Cavity solitons are localized light peaks in the transverse section of nonlinear resonators. These structures are usually formed under a coexistence condition between a homogeneous background of radiation and a self- organized patterns resulting from a Turing type of instabilities. In this issue, most of studies have been realized ignoring the nonlocal eﬀects. Non-local eﬀects can play an important role in the formation of cavity solitons in optics, population dynamics and plant ecology. Depending on the choice of the nonlocal interaction function, the nonlocal coupling can be strong or weak. When the nonlocal coupling is strong, the interaction between fronts is controlled by the whole non-local interaction function. Recently it has shown that this type of nonlocal coupling strongly aﬀects the dynamics of fronts connecting two homogeneous steady states and leads to the stabilization of cavity solitons with a varying size plateau. Here, we consider a ring passive cavity filled with a Kerr medium like a liquid crystal or left-handed materials and driven by a coherent injected beam. We show that cavity solitons resulting for strong front interaction are stable in one and two-dimensional setting out of any type of Turing instability. Their spatial profile is characterized by a varying size plateau. Our results can apply to large class of spatially extended systems with strong nonlocal coupling.

Citation Download Citation

Cristian Fernandez-Oto, Mustapha Tlidi, Daniel Escaff, Marcel Clerc, and Pascal Kockaert "Strong nonlocal interaction stabilizes cavity solitons with a varying size plateau", Proc. SPIE 9136, Nonlinear Optics and Its Applications VIII; and Quantum Optics III, 91360K (1 May 2014); https://doi.org/10.1117/12.2052425

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KEYWORDS

Solitons

Liquid crystals

Bistability

Complex systems

Nonlinear optics

Ecology

Instrument modeling

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