Numerical Analyses Optical Solitons in Dual Core Couplers with Kerr Law Nonlinearity

A. A. Al Qarni¹, M. A. Banaja², H. O. Bakodah²

¹Department of Mathematics, Faculty of Science for Girls, Bisha University, Bisha, Saudi Arabia.
²Department of Mathematics, Faculty of Science for Girls, King Abdulaziz University, Jeddah, Saudi Arabia.

DOI: 10.4236/am.2015.612173                

Abstract

In this paper, we present the results of numerical analysis of optical solitons in dual core couplers. We studied the optical couplers as an application for the non-linear Schrödinger equation in the case of Kerr law for non-linear and clarify the exact solution in this case. Then we have provided a numerical study of the effect of changing the constants in the form of the three types of solitons: bright soliton and dark solitons and singular soliton.

Keywords

Optical Soliton, Dual Core Couplers, Kerr Law Nonlinearity

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1]	Biswas, A. (2003) Theory of Optical Couplers. Optical and Quantum Electronics, 35, 221-235. http://dx.doi.org/10.1023/A:1022852801087
[2]	Zakharov, V.E. and Shabat, A.B. (1972) Exact Theory of Two-Dimensional Self-Focusing and One-Dimensional Self-Modulation of Waves in Non-Linear Media. Journal of Experimental and Theoretical Physics, 34, 62.
[3]	Ablowitz, M.J. and Segur, H. (1981) Solitons and H. Segur, Solitons and the Inverse Scattering Transform. SIAM, Philadelphia.
[4]	Mihalache, D. and Panoiu, N.C. (1992) Exact Solutions of Nonlinear Schrodinger Equation for Positive Group Velocity Dispersion. Journal of Mathematical Physics, 33, 2323. http://dx.doi.org/10.1063/1.529603
[5]	Mihalache, D. and Panoiu, N.C. (1993) Analytic Method for Solving the Nonlinear Schrodinger Equation Describing Pulse Propagation in Dispersive Optic Fibers. Journal of Physics, A26, 2679. http://dx.doi.org/10.1088/0305-4470/26/11/016
[6]	Ramos, P.M. and Pavia, C.R. (2000) Self-Routing Switching of Soliton-Like Pulses in Multiple-Core Nonlinear Fiber Arrays. Journal of the Optical Society of America B, 17, 115.
[7]	Biswas, A. (2001) Solitons in Nonlinear Fiber Arrays. Journal of Electromagnetic Waves and Applications, 15, 1189. http://dx.doi.org/10.1163/156939301X01101
[8]	Biswas, A., Khen, K.R., Rahman, A., Yildirim, A., Hayat, T. and Aldossary, O.M. (2012) Journal of Optoelectronics and Advanced Materials, 14, 571.
[9]	Sarescu, M., Bhrawy, A.H., Alsaery, A.A., Hilal, E.M., Khan, K.R., Mahmood, M.F. and Biswas, A. (2014) Optical Solitons in Nonlinear Directional Couplers with Spation-Temporal Dispersion. Journal of Modern Optics, 61, 441-458. http://dx.doi.org/10.1080/09500340.2014.894149
[10]	Banaja, M.A., Alkhateeb, S.A., Alshaery, A.A., Hilal, E.M., Bhrawy, A.H., Moraru, L. and Biswas, A. (2014) Optical Solitons in Dual-Core Couplers. Wulfenia Journal, 21, 366-380.
[11]	Biswas, A., Lott, D.A., Sutton, B., Khan, K.R. and Mahmood, M.F. (2013) Optical Gaussons in Nonlinear Directional Couplers. Journal of Electromagnetic Waves and Applications, 27, 1976-1985.