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Article
1 - Numerical Analysis of Stability for Temporal Bright Solitons in a PT-Symmetric NLDCJournal of Optoelectronical Nanostructures , Issue 4 , Year , Autumn 2017PT-Symmetry is one of the interesting topics in quantum mechanics and optics. One of the demonstration of PT-Symmetric effects in optics is appeared in the nonlinear directional coupler (NLDC). In the paper we numerically investigate the stability of temporal bright sol MorePT-Symmetry is one of the interesting topics in quantum mechanics and optics. One of the demonstration of PT-Symmetric effects in optics is appeared in the nonlinear directional coupler (NLDC). In the paper we numerically investigate the stability of temporal bright solitons propagate in a PT-Symmetric NLDC by considering gain in bar and loss in cross. By using the analytical solutions of perturbed eigenfunctions and corresponding eigenvalues the stability of temporal bright solitons is studied numerically. Three perturbed eigenfunctions corresponding to the two eigenvalues are examined for stability. The results show that the two degenerate eigenfunctions are unstable while other one is stable which have important result that the eigenfunctions are equilibrium function but not stable for all cases. Stability is tested by using energy of perturbed soliton that propagate thought the length of NLDC. In addition, the behavior of solitons under instable perturbation in a PT-Symmetric NLDC can be used to design integrated optics at Nano scales, for ultrafast all optical communication systems and logic gates. Manuscript profile -
Article
2 - Effect of Relative Phase on the Stability of Temporal Bright Solitons in a PT- Symmetric NLDCJournal of Optoelectronical Nanostructures , Issue 4 , Year , Autumn 2018In this paper we numerically investigate the effect of relative phase on the
stability of temporal bright solitons in a Nano PT- Symmetric nonlinear directional
coupler (NLDC) by considering gain in bar and loss in cross. We also study the effect of
relat MoreIn this paper we numerically investigate the effect of relative phase on the
stability of temporal bright solitons in a Nano PT- Symmetric nonlinear directional
coupler (NLDC) by considering gain in bar and loss in cross. We also study the effect of
relative phase on the output perturbed bright solitons energies, in the range of 0 to
180 . By using perturbation theory three eigenfunctions and corresponding
eigenvalues were derived analytically. These eigenvalues behave like equilibrium points
and are not stable in all cases. Stability of these perturbed solitons under the effect of
relative phase are examined and show that temporal bright solitons are almost unstable in
the range of 0 to 90 , but they keep their solitary shapes in the range of 90
to 180 . In addition the evolution of normalized energies in these ranges are
investigated.
Output pulse energy at bar and cross strongly depend on the relative phase. This effect
in a PT-Symmetric NLDC can be used for designing all-optical ultrafast self-switches
and logic gates and Nano structures. Manuscript profile