Effect of Dispersive Reflectivity on the Stability of Gap Solitons in Systems with Separated Bragg Grating and Nonlinearity

Tanvir Ahmed, Javid Atai

Abstract

The existence and stability of quiescent solitons in a dual core optical medium, where the one core has only Kerr nonlinearity while the other has Bragg grating and dispersive reflectivity are investigated. Three spectral gaps are identified in the systems linear spectrum, in which both lower and upper band gaps overlap with one branch of the continuous spectrum for all values of normalized group velocity $c$ in the linear core; and, the central band gap remains a genuine bandgap. Soliton solutions exist only in the lower and upper gaps. In the absence of dispersive reflectivity, stable solitons are only found in the upper bandgap. However, introduction of dispersive reflectivity significantly alters the stability characteristics of solitons and results in the stabilization of solitons in a portion of the lower bandgap.

References

  1. Aceves, A. B. and Wabnitz, S. (1989). Self-induced transparency solitons in nonlinear refractive periodic media. Phys. Lett. A, 141:37-42.
  2. Mok, J. T., de Sterke, C. M., Littler, I. C. M., and Eggleton, B. J. (2006). Dispersionless slow light using gap solitons. Nature Phys., 2:775-780.
  3. Monat, C., de Sterke, M., and Eggleton, B. J. (2010). Slow light enhanced nonlinear optics in periodic structures. J. Opt., 12:104003.
  4. Neill, D. R. and Atai, J. (2006). Collision dynamics of gap solitons in kerr media. Phys. Lett. A, 353:416-421.
  5. Neill, D. R., Atai, J., and Malomed, B. A. (2008). Dynamics and collisions of moving solitons in bragg gratings with dispersive reflectivity. J. Opt. A: Pure Appl. Opt., 10:085105.
  6. Nistazakis, H. E., Frantzeskakis, D. J., Atai, J., Malomed, B. A., Efremidis, N., and Hizanidis, K. (2002). Multichannel pulse dynamics in a stabilized ginzburglandau system. Phys. Rev. E, 65:036605.
  7. Tan, Y., Chen, F., Belic?ev, P. P., Stepic, M., Maluckov, A., Rüter, C. E., and Kip, D. (2009). Gap solitons in defocusing lithium niobate binary waveguide arrays fabricated by proton implantation and selective light illumination. Appl. Phys. B, 95:531-535.
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Paper Citation


in Harvard Style

Ahmed T. and Atai J. (2016). Effect of Dispersive Reflectivity on the Stability of Gap Solitons in Systems with Separated Bragg Grating and Nonlinearity . In Proceedings of the 4th International Conference on Photonics, Optics and Laser Technology - Volume 1: PHOTOPTICS, ISBN 978-989-758-174-8, pages 231-235. DOI: 10.5220/0005651602310235


in Bibtex Style

@conference{photoptics16,
author={Tanvir Ahmed and Javid Atai},
title={Effect of Dispersive Reflectivity on the Stability of Gap Solitons in Systems with Separated Bragg Grating and Nonlinearity},
booktitle={Proceedings of the 4th International Conference on Photonics, Optics and Laser Technology - Volume 1: PHOTOPTICS,},
year={2016},
pages={231-235},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0005651602310235},
isbn={978-989-758-174-8},
}


in EndNote Style

TY - CONF
JO - Proceedings of the 4th International Conference on Photonics, Optics and Laser Technology - Volume 1: PHOTOPTICS,
TI - Effect of Dispersive Reflectivity on the Stability of Gap Solitons in Systems with Separated Bragg Grating and Nonlinearity
SN - 978-989-758-174-8
AU - Ahmed T.
AU - Atai J.
PY - 2016
SP - 231
EP - 235
DO - 10.5220/0005651602310235