Phase-dependent evolution behavior of perturbation in lossless optical fibers

ZHONG Xian-qiong; CHEN Jian-guo; LI Da-yi; LING Xiao-dong; FENG Guo-ying

Using the linearized nonlinear Schrödinger equation obtained with the aid of the small signal approximation,analytical expressions for the amplitude and phase of a perturbation propagating in anoptical fiber have been deduced.The evolution characteristics of the amplitude and phase of the perturbation has been calculated and discussed.The moving trajectories portrayed by the perturbation phasors have been obtained under the polar coordinates.The characteristics and the asymptotic behaviors of the trajectories have been analyzed.The results show that the evolution of the perturbation is intensively influenced by the initial perturbation phase.

Corresponding author: CHEN Jian-guo, optics_lab@163.com;

1. School of Electronics and Information Engineering, Sichuan University, Chengdu 610064, China;

2. Department of Optoelectronic Technology, Chengdu University of Information Technology, Chengdu 610041, China

Received Date: 2004-02-19

Accepted Date: 2004-04-14

Available Online: 2005-03-25

Abstract: Using the linearized nonlinear Schrödinger equation obtained with the aid of the small signal approximation,analytical expressions for the amplitude and phase of a perturbation propagating in anoptical fiber have been deduced.The evolution characteristics of the amplitude and phase of the perturbation has been calculated and discussed.The moving trajectories portrayed by the perturbation phasors have been obtained under the polar coordinates.The characteristics and the asymptotic behaviors of the trajectories have been analyzed.The results show that the evolution of the perturbation is intensively influenced by the initial perturbation phase.

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Reference (9)

[1]	AGRAWAL G P.Nonlinear fiber optics[M].2nd ed,New York:Academic Press,1995.133～141.
[2]	DIANOV E M,MAMYSHEV P V,PROKHOROV A M et al.Generation of a train of fundamental solitons at a high repetition rate in optical fibers[J].Opt Lett,1989,14(18):1008～1010.
[3]	TRILLO S,WABNITZ S.Ultrashort train generation through induced modulation polarization instability in a birefringent Kerr-like medium[J].J O S A,1989,B6(2):238～249.
[4]	PITOIS S,MILLOT G.Experimental observation of a new modulational instability spectral window induced by four-order dispersion in a normally dispersive single-mode optical fiber[J].Opt Commun,2003,226:415～422.
[5]	POTASEK M J,AGRAWAL G P.Self-amplitude-modulation of optical pulses in nonlinear dispersive fibers[J].Phys Rev,1987,A36(8):3862～3867.
[6]	HICKMANN J M,CAVALCANTI S B,BORGES N M et al.Modulation instability in semiconductor-doped glass fibers with saturable-nonlinearity[J].Opt Lett,1993,18(3):182～184.
[7]	ABDULLAEV F K,DARMANYAN S A,BISCHOFF S et al.Modulation instability in optical fibers near the zero dispersion point[J].Opt Commun,1994,108:60～64.
[8]	XU W C,ZHANG S M,CHEN W P et al.Modulation instability of femtosecond pulses in dispersion-decreasing fibers[J].Opt Commun,2001,199:355～360.
[9]	杨爱玲,王晶,苗洪利 et al.色散缓变光纤中交叉相位调制不稳定增益谱[J].激光技术,2003,27(1):44～46.

Phase-dependent evolution behavior of perturbation in lossless optical fibers

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References

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通讯作者: 陈斌, bchen63@163.com

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