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The effect of relative phase on the stability of temporal dark soliton in \({{\mathcal {PT}}}\)-symmetric nonlinear directional fiber coupler

  • Lida Safaei
  • Mahmood Borhani Zarandi
  • Mohsen Hatami
Article
  • 18 Downloads

Abstract

In this paper, we numerically investigate the effect of relative phase on the stability of dark solitons in \({\mathcal {PT}}\)-Symmetric nonlinear directional coupler (NLDC), by considering gain in the bar and loss in the cross in the range of \(\theta =0^\circ\) to \(180^\circ\). The \({\mathcal {PT}}\)-Symmetric perturbed eigenfunctions are used to study the soliton stability. The results of simulations are shown that in the first half region of the relative phase the soliton is unstable while in the second one, is stable. In the stable region gain and loss cancel each other and also the perturbed eigenfunctions have no effect on solitons while in the unstable region solitons are amplified in the bar and attenuated in the cross except for some small intervals which the roles are changed. The behavior of such perturbation can be interpreted as self all-optical phase soliton switching and optical logic gates.

Keywords

Fibers Nonlinear optics Directional coupler Photonic Ultrashort optical pulses \({\mathcal {PT}}\)-symmetry Dark soliton 

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Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Department of Physics, Faculty of ScienceYazd UniversityYazdIran
  2. 2.Department of PhysicsShiraz University of TechnologyShirazIran

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