Bragg solitons in systems with separated nonuniform Bragg grating and nonlinearity

Tanvir Ahmed and Javid Atai
Phys. Rev. E 96, 032222 – Published 20 September 2017

Abstract

The existence and stability of quiescent Bragg grating solitons are systematically investigated in a dual-core fiber, where one of the cores is uniform and has Kerr nonlinearity while the other one is linear and incorporates a Bragg grating with dispersive reflectivity. Three spectral gaps are identified in the system, in which both lower and upper band gaps overlap with one branch of the continuous spectrum; therefore, these are not genuine band gaps. However, the central band gap is a genuine band gap. Soliton solutions are found in the lower and upper gaps only. It is found that in certain parameter ranges, the solitons develop side lobes. To analyze the side lobes, we have derived exact analytical expressions for the tails of solitons that are in excellent agreement with the numerical solutions. We have analyzed the stability of solitons in the system by means of systematic numerical simulations. We have found vast stable regions in the upper and lower gaps. The effect and interplay of dispersive reflectivity, the group velocity difference, and the grating-induced coupling on the stability of solitons are investigated. A key finding is that a stronger grating-induced coupling coefficient counteracts the stabilization effect of dispersive reflectivity.

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  • Received 11 July 2017

DOI:https://doi.org/10.1103/PhysRevE.96.032222

©2017 American Physical Society

Physics Subject Headings (PhySH)

Atomic, Molecular & Optical

Authors & Affiliations

Tanvir Ahmed and Javid Atai

  • School of Electrical and Information Engineering, The University of Sydney, NSW 2006, Australia

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Issue

Vol. 96, Iss. 3 — September 2017

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