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Conference on Lasers and Electro-Optics Europe & European Quantum Electronics Conference (CLEO/Europe-EQEC)

Mobility properties of 2D cavity solitons in systems with delayed feedback

Mustapha Tlidi, A. G. Vladimirov, Dmitry Vladimirovich Turaev

Published May 1, 2011• 0 citations
Publisher

Abstract

In this communication, the authors investigate numerically and analytically the influence of delayed feedback on the mobility properties of 2D cavity solitons. The authors consider a passive cavity filled with a two-level medium and driven by a coherent injection beam. The authors report on a new type of instability leading to a spontaneous drift of dissipative solitons. The authors show that when the product of the delay time and the feedback amplitude exceeds a certain threshold, a single circularly symmetric localized structure starts to move in an arbitrary direction.

DOI
10.1109/cleoe.2011.5943552

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In this communication, the authors investigate numerically and analytically the influence of delayed feedback on the mobility properties of 2D cavity solitons. The authors consider a passive cavity filled with a two-level medium and driven by a coherent injection beam. The authors report on a new type of instability leading to a spontaneous drift of dissipative solitons. The authors show that when the product of the delay time and the feedback amplitude exceeds a certain threshold, a single circularly symmetric localized structure starts to move in an arbitrary direction.
Cavity solitons (CSs) are localized structures appearing as single intensity peaks in the homogeneous background of the field emitted by a nonlinear (micro) resonator driven by a coherent field (holding beam). By introducing a phase gradient in the holding beam, it is possible to induce CS drift. This motion is strongly influenced by the presence of defects in the device structure. We analyze numerically two situations that appeared in the experiments. In the first one, a structure is self-generated on the defect and a regular sequence of moving CS originates from it. We investigate the properties of this ``tap'' of CS as a function of the defect characteristics and of the parameters values. The second situation corresponds to the interaction between a moving CS and a defect, which plays a fundamental role in CS applications such as the delay line or the shift register.
We consider some new aspects of the formation of moving optical solitons in a medium of Bragg-type resonant grating doped with two-level atoms. For generality, account is taken of the local-field effect assisted by a sufficiently high density of resonant atoms. It is established analytically that there exists a family of soliton solutions to the two-wave Maxwell-Bloch system of equations, with these solitons exhibiting bistable properties. The existence of bistable solitons and their properties are confirmed by numerical simulations.
We employ an alternative control of diffraction based on the generation of slow-light dissipative solitons for a three-level medium in a cavity pumped by two quasi-resonant fields. Complex self-organised structures and spatial localization of light due to the interaction of diffraction and nonlinearity in optical cavities have important applications in optics and photonics, ranging from digital optical memories to delay lines. Note that conservative Raman solitons with slow-light have been observed in free propagation in a planar CS2waveguide by using the localization of a pump field.
We consider a model recently proposed, describing a multiple quantum well semiconductor microcavity driven by a coherent holding beam. We discuss here some general features of stationary modulational instabilities affecting the system. By generalizing a method introduced in a previous paper on two-level atoms in optical cavities, we give a detailed description of the stationary instabilities in the parameter space. The modulational instability can be related to the presence of stable cavity solitons, which have been predicted in this system. Therefore we have a helpful tool to research the best parametric conditions for stable cavity solitons, a very demanding task due to the large number of parameters. Finally, we show that our analysis can be extended to more general models, describing a nonlinear diffusive material inside an optical cavity with a general form of the interaction terms.
Summary form only given. Stationary localized structures (LS) and localized patterns have been predicted in passive resonators in regimes where the homogeneous steady states exhibit a subcritical Turing (or modulational) instability. These solutions consist of bright or dark spots in the transverse profile of the intracavity field amplitude. They can be either spatially independent and randomly distributed or clusters forming well-defined spatial patterns in the transverse plane orthogonal to the propagation axis. We consider an optical cavity with plane mirrors filled with resonant two-level atoms and driven by a coherent plane-wave injected signal. We focus on the purely absorptive limit where the two-level atoms are in resonance with the injected field. In this system, two type of LS may be generated, depending on the magnitude of the critical wave number associated with the modulational instability: circular localized bright spots or a stationary localized single stripe. Both types of LS can form for the same value of parameters.