# Effect of Phase Mismatch between the Bragg Gratings on the Stability of Gap Solitons in Semilinear Dual-core System

### Shuvashis Saha, Javid Atai

#### Abstract

The existence and stability of quiescent gap solitons are studied in a semilinear dual-core optical system, in which Bragg gratings (BGs) are written on the both cores with a phase shift and one core has the Kerr nonlinearity, while other one is linear. When the relative group velocity c in the linear core is zero, three separate band gaps are observed through the spectrum analysis, including one central band gap surrounded by upper and lower band gaps. Three band gaps are entirely filled with the stationary soliton solutions. However, in case of c is non-zero, only central band gap contains the stationary solution. Numerical techniques are used to find the stability of the quiescent gap solitons in terms of their frequency detuning.

Download#### Paper Citation

#### in Harvard Style

Saha S. and Atai J. (2021). **Effect of Phase Mismatch between the Bragg Gratings on the Stability of Gap Solitons in Semilinear Dual-core System**.In *Proceedings of the 9th International Conference on Photonics, Optics and Laser Technology - Volume 1: PHOTOPTICS,* ISBN 978-989-758-492-3, pages 36-39. DOI: 10.5220/0010229800360039

#### in Bibtex Style

@conference{photoptics21,

author={Shuvashis Saha and Javid Atai},

title={Effect of Phase Mismatch between the Bragg Gratings on the Stability of Gap Solitons in Semilinear Dual-core System},

booktitle={Proceedings of the 9th International Conference on Photonics, Optics and Laser Technology - Volume 1: PHOTOPTICS,},

year={2021},

pages={36-39},

publisher={SciTePress},

organization={INSTICC},

doi={10.5220/0010229800360039},

isbn={978-989-758-492-3},

}

#### in EndNote Style

TY - CONF

JO - Proceedings of the 9th International Conference on Photonics, Optics and Laser Technology - Volume 1: PHOTOPTICS,

TI - Effect of Phase Mismatch between the Bragg Gratings on the Stability of Gap Solitons in Semilinear Dual-core System

SN - 978-989-758-492-3

AU - Saha S.

AU - Atai J.

PY - 2021

SP - 36

EP - 39

DO - 10.5220/0010229800360039