Bragg Grating Solitons in a Dual-core System with Separated Bragg Grating and Cubic-quintic Nonlinearity

Nadia Anam, Tanvir Ahmed, Javid Atai

2019

Abstract

We analyze the stability of solitons in a semilinear dual-core system where one core is linear with a Bragg grating and the other core is uniform and has cubic-quintic nonlinearity. It is found that there exist three spectral gaps in the model’s linear spectrum. The quiescent soliton solutions are found by means of numerical techniques. It is found that the soliton solutions exist only in both the upper and lower bandgaps. Two distinct and disjoint families of solitons (i.e. Type 1 and Type 2 solitons) are found in the upper and lower bandgaps that are separated by a border. Stability of solitons are analyzed numerically. The stability analysis shows that stable Type 1 solitons may only exist in a part of the upper bandgap. Type 2 solitons in both upper and lower gaps are found to be unstable.

Paper Citation

in Harvard Style

Anam N., Ahmed T. and Atai J. (2019). Bragg Grating Solitons in a Dual-core System with Separated Bragg Grating and Cubic-quintic Nonlinearity.In Proceedings of the 7th International Conference on Photonics, Optics and Laser Technology - Volume 1: PHOTOPTICS, ISBN 978-989-758-364-3, pages 24-28. DOI: 10.5220/0007251300240028

in Bibtex Style

@conference{photoptics19,
author={Nadia Anam and Tanvir Ahmed and Javid Atai},
title={Bragg Grating Solitons in a Dual-core System with Separated Bragg Grating and Cubic-quintic Nonlinearity},
booktitle={Proceedings of the 7th International Conference on Photonics, Optics and Laser Technology - Volume 1: PHOTOPTICS,},
year={2019},
pages={24-28},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0007251300240028},
isbn={978-989-758-364-3},
}

in EndNote Style

TY - CONF

JO - Proceedings of the 7th International Conference on Photonics, Optics and Laser Technology - Volume 1: PHOTOPTICS,
TI - Bragg Grating Solitons in a Dual-core System with Separated Bragg Grating and Cubic-quintic Nonlinearity
SN - 978-989-758-364-3
AU - Anam N.
AU - Ahmed T.
AU - Atai J.
PY - 2019
SP - 24
EP - 28
DO - 10.5220/0007251300240028