A circular array of optical waveguides collectively coupled with a central core is investigated. Nonlinear losses, both linear and nonlinear coupling as well as energy transfer between neighboring array elements and between the array and the core are allowed. The concept is ideal for the design of high power stable amplifiers as well as of all-optical data processing devices in optical communications. The existence of stable steady-state continuous wave modes as well as of localized solitary and breathing type modes is demonstrated. These properties render the proposed system functionally rich, far more controllable than a planar one and easier to stabilize.
A circular array of optical waveguides collectively coupled with a central core is investigated. Both linear and nonlinear coupling as well as energy transfer within the array elements and with the core are allowed making thus the model ideal for the design of high power stable amplifiers as well as of all-optical data processing devices in optical communications. The existence of stable steadystate continuous wave modes as well as of breathing modes is demonstrated. These properties render the proposed system functionally rich, far more controllable than a planar one and easier to stabilize.
The dynamics of a spatial soliton pulse and interactions under the presence of a linear periodic wave (PW), which dynamically induces a photonic lattice, is investigated. It is shown that appropriate selections of the characteristic parameters of the PW result in different soliton propagation and interaction scenarios, suggesting a reconfigurable soliton control mechanism. The quasiparticle perturbation method is utilized for providing a dynamical system, governing the soliton parameters evolution, for single- and two-soliton propagation under generic conditions for the PW. Results of the perturbation method are shown in good agreement with direct numerical simulations.
The dynamics of dark spatial soliton beams and their interaction under the presence of a continuous wave (CW), which dynamically induces a photonic lattice, are investigated. It is shown that appropriate selection of the characteristic parameters of the CW result in controllable steering of a single soliton as well as controllable interaction between two solitons. Depending on the CW parameters, the soliton angle of propagation can be changed drastically, while two-soliton interaction can be either enhanced or reduced, suggesting a reconfigurable soliton control mechanism. Our analytical approach, based on the variational perturbation method, provides a dynamical system for the dark soliton evolution parameters. Analytical results are shown in good agreement with direct numerical simulations.
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