Research ArticleOpen AccessGoogle Scholar indexed
Numerical Analyses Optical Solitons in Dual Core Couplers with Kerr Law Nonlinearity
Department of Mathematics, Faculty of Science for Girls, Bisha University, Bisha, Saudi Arabia
Department of Mathematics, Faculty of Science for Girls, King Abdulaziz University, Jeddah, Saudi Arabia
Department of Mathematics, Faculty of Science for Girls, King Abdulaziz University, Jeddah, Saudi Arabia
- 1 Department of Mathematics, Faculty of Science for Girls, Bisha University, Bisha, Saudi Arabia
- 2 Department of Mathematics, Faculty of Science for Girls, King Abdulaziz University, Jeddah, Saudi Arabia
- 3 Department of Mathematics, Faculty of Science for Girls, King Abdulaziz University, Jeddah, Saudi Arabia
Applied Mathematics·Volume 06 (2015)·Pages 1957–1967·Published 9 November 2015·DOI10.4236/am.2015.612173
Copy link · social · email
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 Schr ö dinger 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.
KeywordsOptical SolitonDual Core CouplersKerr Law Nonlinearity
- Biswas, A. (2003) Theory of Optical Couplers. Optical and Quantum Electronics, 35, 221-235. http://dx.doi.org/10.1023/A:1022852801087
- 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.
- Ablowitz, M.J. and Segur, H. (1981) Solitons and H. Segur, Solitons and the Inverse Scattering Transform. SIAM, Philadelphia.
- 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
- 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
- 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.
- Biswas, A. (2001) Solitons in Nonlinear Fiber Arrays. Journal of Electromagnetic Waves and Applications, 15, 1189. http://dx.doi.org/10.1163/156939301X01101
- Biswas, A., Khen, K.R., Rahman, A., Yildirim, A., Hayat, T. and Aldossary, O.M. (2012) Journal of Optoelectronics and Advanced Materials, 14, 571.
- 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
- 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.
- 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.