Dynamics of bright discrete staggered solitons in photovoltaic photorefractive media |
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Authors: | Email author" target="_blank">A?MaluckovEmail author M?Stepi? D?Kip Lj?Had?ievski |
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Institution: | (1) Faculty of Sciences and Mathematics, University of Niš, P.O.B. 224, 18001 Niš, Serbia and Montenegro;(2) Institute of Physics and Physical Technologies, Clausthal University of Technology, 38678 Clausthal-Zellerfeld, Germany;(3) Vinča Institute of Nuclear Sciences, P.O.B. 522, 11001 Belgrade, Serbia and Montenegro |
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Abstract: | Theoretical results on spatial optical bright solitons excited in arrays of nonlinear defocusing
waveguides, that result from the photovoltaic effect in a photorefractive material, are presented. The existence
of four types of stationary discrete bright staggered solitons, on-site, inter-site, twisted inter-site, and
twisted on-site solitons, is shown both analytically and numerically, and their stability properties are
investigated. The maximum Hamiltonian of staggered solitons with the same total power corresponds to stable modes.
It is shown that for low total power the on-site mode is stable while in the high power regime the inter-site mode
is stable. These results are confirmed numerically. In addition, steering properties of localized modes are
investigated by introducing a transversal translational shift. Because of the translational symmetry between
on-site and inter-site localized modes they are considered as two dynamical realizations of the same moving mode,
and the formalism of the Peierls-Nabarro effective potential is applied to interpret the exchange between trapping
and steering of these modes. This critically depends on the mode’s total power and the introduced phase
difference. On the other hand, steering of twisted inter-site and on-site localized modes is not numerically
observed. Instead, transversal perturbation leads to a transformation of twisted modes either into a trapped
on-site mode of smaller power and radiation, or into two trapped on-site modes. |
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