Influence of Self-steepening and Higher Dispersion Effects on the Propagation Characteristics of Solitons in Optical Fibers
Do Thanh T. 1, Nguyen T.V. 1, Bui D.T. 1*, Cao Long V. 2
1 Faculty of Physics and Technology
Vinh University, Vietnam2 Institute of Physics, University of Zielona Góra
A. Szafrana 4a, 65-516 Zielona Góra, Poland*E-mail: thuanbd@vinhuni.edu.vn
Received:
Received: 08 December 2016; revised: 19 December 2016; accepted: 20 December 2016; published online: 31 December 2016
DOI: 10.12921/cmst.2016.0000063
Abstract:
In this paper we consider the influence of higher-order nonlinear effects like third-order dispersion, self-steepening effect on the propagation characteristics of solitons. By solving the higher-order nonlinear Schrödinger equation we show that the self-steepening effect can lead to the breakup of higher-order solitons through the phenomenon of soliton fission. This effect plays an essential role in several nonlinear phenomena, in particular in the so-called supercontinuum generation in optical fibers. Moreover, we can use third order dispersion to compress pulses as well as changing the frequency.
Key words:
self-steepening effect, soliton, supercontinuum generation, third order dispersion
References:
[1] G.P. Agrawal. Nonlinear Fiber Optics, Academic, San Diego,
2003.
[2] P.N. Butcher and D. Cotter, The Elements of Nonlinear Op-
tics, Cambridge University Press, 1991.
[3] Y.S. Kivshar, G. P. Agrawal, Optical Solitons, 2003.
[4] J.H.B. Nijhof, H.A. Ferwerda, and B.J. Hoenders, Derivation
of the equation for an ultrashort pulse in a fibre, Pure Appl.
Opt. 4, 199-218 (1994).
[5] A. Hasegawa and Y. Kodama, Solitons in optical communi-
cation, Oxford University Press, New York, 1995.
[6] G.P. Agrawal and M.J. Potasek, Nonlinear pulse distortion in
single mode optical fibers at the zero-dispersion wavelength,
Phys Rev 33(3), 1765-1776 (1986).
[7] M. Facăo, M. I. Carvalho, Soliton self-frequency shift: Self-
similar solutions and their stability, Physical Review E 81,
046604 (2010).
[8] H. P. Tian, Z. H. Li, Z. Y. Xu, J. P. Tian, and G. S. Zhou,
Stablesoliton in the fiber-optic system with self-frequency
shift, J. Opt.Soc. Am. B 20, 59-64 (2003).
[9] Zhongxi Zhang, Liang Chen, and Xiaoyi Bao, A fourth-order
Runge-Kutta in the interaction picture method for numeri-
cally solving the coupled nonlinear Schrödinger equation,
Optics Express 8, 8261-8276 (2010).
[10] J.M. Dudley, J.R.Taylor, Supercontinuum Generation in opti-
cal fibers, Cambridge, 2010.
[11] Van Cao Long, Rev. Adv. Mater. Sci. 23 8-24 (2010).
[12]Do Thanh Thuy, Bui Dinh Thuan, Dinh Xuan Khoa, Nguyen
Thanh Vinh, Cao Long Van, to be published.
In this paper we consider the influence of higher-order nonlinear effects like third-order dispersion, self-steepening effect on the propagation characteristics of solitons. By solving the higher-order nonlinear Schrödinger equation we show that the self-steepening effect can lead to the breakup of higher-order solitons through the phenomenon of soliton fission. This effect plays an essential role in several nonlinear phenomena, in particular in the so-called supercontinuum generation in optical fibers. Moreover, we can use third order dispersion to compress pulses as well as changing the frequency.
Key words:
self-steepening effect, soliton, supercontinuum generation, third order dispersion
References:
[1] G.P. Agrawal. Nonlinear Fiber Optics, Academic, San Diego,
2003.
[2] P.N. Butcher and D. Cotter, The Elements of Nonlinear Op-
tics, Cambridge University Press, 1991.
[3] Y.S. Kivshar, G. P. Agrawal, Optical Solitons, 2003.
[4] J.H.B. Nijhof, H.A. Ferwerda, and B.J. Hoenders, Derivation
of the equation for an ultrashort pulse in a fibre, Pure Appl.
Opt. 4, 199-218 (1994).
[5] A. Hasegawa and Y. Kodama, Solitons in optical communi-
cation, Oxford University Press, New York, 1995.
[6] G.P. Agrawal and M.J. Potasek, Nonlinear pulse distortion in
single mode optical fibers at the zero-dispersion wavelength,
Phys Rev 33(3), 1765-1776 (1986).
[7] M. Facăo, M. I. Carvalho, Soliton self-frequency shift: Self-
similar solutions and their stability, Physical Review E 81,
046604 (2010).
[8] H. P. Tian, Z. H. Li, Z. Y. Xu, J. P. Tian, and G. S. Zhou,
Stablesoliton in the fiber-optic system with self-frequency
shift, J. Opt.Soc. Am. B 20, 59-64 (2003).
[9] Zhongxi Zhang, Liang Chen, and Xiaoyi Bao, A fourth-order
Runge-Kutta in the interaction picture method for numeri-
cally solving the coupled nonlinear Schrödinger equation,
Optics Express 8, 8261-8276 (2010).
[10] J.M. Dudley, J.R.Taylor, Supercontinuum Generation in opti-
cal fibers, Cambridge, 2010.
[11] Van Cao Long, Rev. Adv. Mater. Sci. 23 8-24 (2010).
[12]Do Thanh Thuy, Bui Dinh Thuan, Dinh Xuan Khoa, Nguyen
Thanh Vinh, Cao Long Van, to be published.
