Effect of Relative Phase on the Stability of Temporal Bright Solitons in a PT- Symmetric NLDC

In this paper we numerically investigate the effect of relative phase on thestability of temporal bright solitons in a Nano PT- Symmetric nonlinear directionalcoupler (NLDC) by considering gain in bar and loss in cross. We also study the effect ofrelative phase on the output perturbed bright soliton...

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Main Authors: Lida Safaei, mahmood Borhani Zarandi, Mohsen Hatami
Format: Article
Language:English
Published: Islamic Azad University, Marvdasht Branch 2018-09-01
Series:Journal of Optoelectronical Nanostructures
Subjects:
Online Access:https://jopn.marvdasht.iau.ir/article_3044_24bbebf18999605ca0b0125a2f6c8867.pdf
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author Lida Safaei
mahmood Borhani Zarandi
Mohsen Hatami
author_facet Lida Safaei
mahmood Borhani Zarandi
Mohsen Hatami
author_sort Lida Safaei
collection DOAJ
description In this paper we numerically investigate the effect of relative phase on thestability of temporal bright solitons in a Nano PT- Symmetric nonlinear directionalcoupler (NLDC) by considering gain in bar and loss in cross. We also study the effect ofrelative phase on the output perturbed bright solitons energies, in the range of   0 to 180 . By using perturbation theory three eigenfunctions and correspondingeigenvalues were derived analytically. These eigenvalues behave like equilibrium pointsand are not stable in all cases. Stability of these perturbed solitons under the effect ofrelative phase are examined and show that temporal bright solitons are almost unstable inthe range of   0 to  90 , but they keep their solitary shapes in the range of   90to  180 . In addition the evolution of normalized energies in these ranges areinvestigated.Output pulse energy at bar and cross strongly depend on the relative phase. This effectin a PT-Symmetric NLDC can be used for designing all-optical ultrafast self-switchesand logic gates and Nano structures.
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spelling doaj.art-edfe73e1e4e04df88ed53682ac0548c22023-04-11T05:09:03ZengIslamic Azad University, Marvdasht BranchJournal of Optoelectronical Nanostructures2423-73612538-24892018-09-013337463044Effect of Relative Phase on the Stability of Temporal Bright Solitons in a PT- Symmetric NLDCLida Safaei0mahmood Borhani Zarandi1Mohsen Hatami2Department of Physics, Yazd University, Yazd, IranDepartment of Physics, Yazd University, Yazd, IranDepartment of Physics, University of Shiraz Technology, Shiraz, IranIn this paper we numerically investigate the effect of relative phase on thestability of temporal bright solitons in a Nano PT- Symmetric nonlinear directionalcoupler (NLDC) by considering gain in bar and loss in cross. We also study the effect ofrelative phase on the output perturbed bright solitons energies, in the range of   0 to 180 . By using perturbation theory three eigenfunctions and correspondingeigenvalues were derived analytically. These eigenvalues behave like equilibrium pointsand are not stable in all cases. Stability of these perturbed solitons under the effect ofrelative phase are examined and show that temporal bright solitons are almost unstable inthe range of   0 to  90 , but they keep their solitary shapes in the range of   90to  180 . In addition the evolution of normalized energies in these ranges areinvestigated.Output pulse energy at bar and cross strongly depend on the relative phase. This effectin a PT-Symmetric NLDC can be used for designing all-optical ultrafast self-switchesand logic gates and Nano structures.https://jopn.marvdasht.iau.ir/article_3044_24bbebf18999605ca0b0125a2f6c8867.pdffiber couplersnonlinear opticsphotonicssolitonspt-symmetrynano structures
spellingShingle Lida Safaei
mahmood Borhani Zarandi
Mohsen Hatami
Effect of Relative Phase on the Stability of Temporal Bright Solitons in a PT- Symmetric NLDC
Journal of Optoelectronical Nanostructures
fiber couplers
nonlinear optics
photonics
solitons
pt-symmetry
nano structures
title Effect of Relative Phase on the Stability of Temporal Bright Solitons in a PT- Symmetric NLDC
title_full Effect of Relative Phase on the Stability of Temporal Bright Solitons in a PT- Symmetric NLDC
title_fullStr Effect of Relative Phase on the Stability of Temporal Bright Solitons in a PT- Symmetric NLDC
title_full_unstemmed Effect of Relative Phase on the Stability of Temporal Bright Solitons in a PT- Symmetric NLDC
title_short Effect of Relative Phase on the Stability of Temporal Bright Solitons in a PT- Symmetric NLDC
title_sort effect of relative phase on the stability of temporal bright solitons in a pt symmetric nldc
topic fiber couplers
nonlinear optics
photonics
solitons
pt-symmetry
nano structures
url https://jopn.marvdasht.iau.ir/article_3044_24bbebf18999605ca0b0125a2f6c8867.pdf
work_keys_str_mv AT lidasafaei effectofrelativephaseonthestabilityoftemporalbrightsolitonsinaptsymmetricnldc
AT mahmoodborhanizarandi effectofrelativephaseonthestabilityoftemporalbrightsolitonsinaptsymmetricnldc
AT mohsenhatami effectofrelativephaseonthestabilityoftemporalbrightsolitonsinaptsymmetricnldc