The effect of quintic nonlinearity on the propagation of optical pulse in optical fibers

JIANG Yue; LIN Chuan-yi; YANG Jun; YU Xiang-yang

In order to study the effect of quintic nonlinearity on the optical pulse propagating in the optical fiber, the extended nonlinear Schrödinger equation, including the quintic nonlinearity, was solved by means of split-step Fourier transform.The results showed that the negative quintic nonlinearity stretched the pulse while the positive one compressed the pulse width.Less quintic nonlinearity produced less modulation instability of the optical pulse, thus the optical pulse almost maintained the pulse envelope.While the absorbed coefficient was neglected,the propagation of the pulse was adiabatic.For the positive quintic nonlinearity, some proper absorbed coefficient could slow down the modulation instability.If the quintic nonlinear coefficient were fixed,the effect of quintic nonlinearity would be more obvious when the input peak power of the pulse increased.

Corresponding author: YU Xiang-yang, cesyxy@mail.sysu.edu.cn

1. State Key Laboratory of Optoelectronic Materials and Technologies, Sun Yat-Sen University, Guangzhou 510275, China

Received Date: 2008-01-02

Accepted Date: 2008-10-26

Available Online: 2009-04-25

Abstract: In order to study the effect of quintic nonlinearity on the optical pulse propagating in the optical fiber, the extended nonlinear Schrödinger equation, including the quintic nonlinearity, was solved by means of split-step Fourier transform.The results showed that the negative quintic nonlinearity stretched the pulse while the positive one compressed the pulse width.Less quintic nonlinearity produced less modulation instability of the optical pulse, thus the optical pulse almost maintained the pulse envelope.While the absorbed coefficient was neglected,the propagation of the pulse was adiabatic.For the positive quintic nonlinearity, some proper absorbed coefficient could slow down the modulation instability.If the quintic nonlinear coefficient were fixed,the effect of quintic nonlinearity would be more obvious when the input peak power of the pulse increased.

HTML

Reference (16)

[1]	NEWELL A C,MOLONEY J V.Nonlinear optics[M].New York:Addison-Wesley Publishing Company,1992:104-110.
[2]	PUSHKAROV D,TANEV S.Bright and dark solitary wave propagation and bistability in the anomalous dispersion region of optical waveguides with third-and fifth-order nonlinearities[J].Opt Com-mun,1996,124(3/4):354-364.
[3]	PUSHKAROV D,TANEV S.Solitary wave propagation and bisability in the normal dispersion region of highly nonlinear optical fibers and waveguides[J].Opt Commun,1997,141(5/6):322-328.
[4]	PORSEAIAN K,NAKKEERAN K.Optical soliton propagation in an Erbium doped nonlinear light guide with highter order dispersion[J].Phys Rev Lett,1995,74(15):2941-2944.
[5]	DIMITREVSKI K,REIMHULT E,SVENSSON E,et al.Analysis of stable self-trapping of laser beams in cubic-quintic nonlinear media[J].Phys Lett,1998,A248(5/6):369-376.
[6]	HONG W P.Optical solitary wave solutions for the higher order nonlinear Schrödinger equation with cubic-quinntic non-Kerr terms[J].Opt Commun,2001,194(1/3):217-223.
[7]	LIU Q Y,LUO K J.The influence of fifth-order nonlinearity on the propagation properties of the soliton-like pulse in the optical fiber[J].Laser Journal,2001,22(5):43-44(in Chinese).
[8]	PAN B,SHEN T G,YAO J,et al.The effect of five-order nonlinear on the propagation of soliton and couple of soliton[J].Laser Journal,2003,24(6):52-53(in Chinese).
[9]	HONG W P.Modulational instability of optical waves in the high dispersive cubic-quintic nonlinear Schrödinger equation[J].Opt Commun,2002,213(1/3):173-182.
[10]	ZHONG X Q,CHEN J G,LI D Y.Modulation in stability in the decreasing dispersion fibers with quintic nonlinearity[J].Laser Technology,2006,30(1):27-30(in Chinese).
[11]	REN Z J,WANG J,YANG A L,et al.The effect on modulational instability of quintic nonlinearity[J].Acta Photonica Sinica,2004,33(6):758-760(in Chinens).
[12]	KONAR S,SOUMENDU J,MANOJ M.Induced focusing and all opti-cal switch in cubic quintic nonlinear media[J].Opt Commun,2005,255(1/3):114-129.
[13]	AGRAWAL P G.Nonlinear fiber optics application of nonlinear fiber optics[M].Beijing:Publishing House of Electronics Industry,2002:26-36(in Chinese).
[14]	ZHONG X Q,CHEN J G,LI D Y.Modulation instability induced by cross-phase modulation in fibers with cubic-quintic nonlinearity[J].Chinese Journal of Lasers,2005,32(8):1035-1039(in Chinese).
[15]	RADHAKRISHNAN R,KUNDU A,LAKSHMANA M.Coupled nonlinear Schrödinger equation with cubic-quinntic nonlinearity:integrability and soliton interaction in non-Kerr media[J].Phys Rev,1999,E60(3):3314-3323.
[16]	CHANG Q,JIA E,SUN W.Difference schemes for solving the generalized nonlinear Schrödinger equation[J].Journal Computational Physics,1999,148(2):397-415.

The effect of quintic nonlinearity on the propagation of optical pulse in optical fibers

Abstract

References

Proportional views

通讯作者: 陈斌, bchen63@163.com

Proportional views