Bragg Grating Solitons in Semilinear Dual-core System with Cubic-Quintic Nonlinearity

Jahirul Islam, Javid Atai

2015

Abstract

The existence and stability of Bragg grating solitons in a coupler, where one core is equipped with a Bragg grating (BG) and has cubic-quintic nonlinearity and the other is linear, are studied. When the group velocity term in the linear core is zero (i.e. c = 0), the system's linear spectrum contains two separate bandgaps. It is found that soliton solutions exist throughout both bandgaps. On the other hand, when the group velocity term in the linear core is nonzero (c ≠ 0), the spectrum consists of three gaps: a genuine central gap and upper and lower gaps that overlap with one branch of continuous spectrum. In this case, soliton solutions exist throughout the upper and lower gaps but not in the central gap. The system supports two disjoint families of solitons (referred as Type 1 and Type 2) that are separated by a boundary. Stability of solitons is investigated by means of systematic numerical stability analysis. It is found that Type 2 solitons are always unstable. On the other hand, there exist vast regions in the upper and lower bandgaps where stable Type 1 solitons exist.

Paper Citation

in Harvard Style

Islam J. and Atai J. (2015). Bragg Grating Solitons in Semilinear Dual-core System with Cubic-Quintic Nonlinearity . In Proceedings of the 3rd International Conference on Photonics, Optics and Laser Technology - Volume 2: PHOTOPTICS, ISBN 978-989-758-093-2, pages 55-59. DOI: 10.5220/0005257800550059

in Bibtex Style

@conference{photoptics15,
author={Jahirul Islam and Javid Atai},
title={Bragg Grating Solitons in Semilinear Dual-core System with Cubic-Quintic Nonlinearity},
booktitle={Proceedings of the 3rd International Conference on Photonics, Optics and Laser Technology - Volume 2: PHOTOPTICS,},
year={2015},
pages={55-59},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0005257800550059},
isbn={978-989-758-093-2},
}

in EndNote Style

TY - CONF
JO - Proceedings of the 3rd International Conference on Photonics, Optics and Laser Technology - Volume 2: PHOTOPTICS,
TI - Bragg Grating Solitons in Semilinear Dual-core System with Cubic-Quintic Nonlinearity
SN - 978-989-758-093-2
AU - Islam J.
AU - Atai J.
PY - 2015
SP - 55
EP - 59
DO - 10.5220/0005257800550059