梳状色散光纤中自相似脉冲传输的数值研究

J4 ›› 2009, Vol. 26 ›› Issue (5): 613-618.

梳状色散光纤中自相似脉冲传输的数值研究

江光裕伏燕军黄彦万生鹏

南昌航空大学自动化学院,江西南昌 330063

出版日期:2009-09-28 发布日期:2009-08-27
通讯作者: 江光裕(1979- ),男,讲师,硕士,主要从事激光与光纤通信方面的研究. E-mail:jgy579@126.com.
基金资助:
江西省自然科学基金(2007GZW1632);南昌航空大学航空高校基金资助

Numerical study of self-similar pulse transmission in comb-like profiled dispersion fiber

JIANG Guang-Yu, FU Yan-Jun, HUANG Yan, WAN Sheng-Peng

College of Automation, Nanchang Hangkong University, Nanchang 330063, China

Published:2009-09-28 Online:2009-08-27

摘要/Abstract

摘要：

从脉冲在光纤中传输所满足的非线性薛定谔方程出发,以双曲渐减的正常色散渐减光纤(ND-DDF)获得线性啁啾自相似脉冲为基础,采用窗口为1550nm的色散光纤构成梳状色散光纤(CDPF),并给出了相应的理论模型,利用该模型,通过数值模拟的方法研究和分析了脉冲在接近于色散渐减光纤的色散变化趋势的梳状色散光纤中演化成自相似脉冲以及其自相似指数变化.结果表明,中心波长为1550nm的双曲正割脉冲在不同初始能量和不同初始脉冲宽度的情况下,梳状色散光纤可以产生抛物线型自相似脉冲且具有很好的线性啁啾特性.

关键词: 非线性光学, 梳状色散光纤, 自相似脉冲, 啁啾

Abstract:

Based on the nonlinear Schrödinger equation desiring pulse propagation in fiber and the linearly chirped parabolic pulse generation by the dispersion decreasing fiber with a normal dispersion (ND-DDF) with a hyperbolic profile, a novel scheme for the generation of the self-similar parabolic pulse by use of a comb-like profiled fiber(CDPF)with normal group-velocity dispersion has been proposed. The corresponding numerical model is also presented. In this model, the evolution of the self-similar parabolic pulse in the CDPF with close to dispersion profile of the DDF has been analyzed numerically. The results show that when the hyperbolic-secant-like pulses at 1550nm has the different initial energy and pulse width, the pulse in the CDPF can evolve into a linearly chirped pulse with an exact parabolic intensity profile.

Key words: nonlinear optics, comb-like profiled dispersion fiber, self-similar pulse, chirp

江光裕伏燕军黄彦万生鹏 . 梳状色散光纤中自相似脉冲传输的数值研究[J]. J4, 2009, 26(5): 613-618.

JIANG Guang-Yu, FU Yan-Jun, HUANG Yan, WAN Sheng-Peng . Numerical study of self-similar pulse transmission in comb-like profiled dispersion fiber[J]. J4, 2009, 26(5): 613-618.

参考文献

[1]Ablowitz M J, Segur H. Solitons and the inverse scattering transform
[M]. Philadelphia: Society for Industrial and Applied Mathematics, 1981.

[2]Barenblatt.G.I.Scaling, Self-similarity, and intermediate asymptotics
[M]. England:Cambridge University Press, 1996

[3]Fermann M.E, Kruglov V.I, Thomsen B.C. et al. Self-similar propagation and amplification of parabolic pulse in optical fibers
[J]. Phys Rev Lett., 2000, 84(26):6010-6013

[4]Sunghyuck An, Sipe J. E. Universality in the dynamics of phase grating formation in optical fibers
[J]. Opt Lett., 1991, 16(19):1478-1480

[5]Menyuk C.R, Levi D, Winternitz P. Self-similarity in transient stimulated Raman scattering
[J]. Phys Rev Lett., 1992, 69(21):3048-3051

[6]Monro T.M, Millar P.D, Poladian L. et al. Self similar evolution of self written waveguides
[J]. Opt Lett., 1998,23(4):268-270

[7]Marin Soljacic, Mordechai Segev, Curtis R.Menyuk. Self-similarity and fractals in soliton supporting systems
[J]. Phys Rev E, 2000, 61(2):1048-1051
[8]Ilday F.O, Buckley J.R, Clark W.G. et al. Self-similar evolution of parabolic pulse in a laser
[J]. Phys Rev Lett., 2004, 92(21):213902

[9]Kruglov V.I, Peacock A.C, Harvey J.D.et al. Self-similar propagation of high-power parabolic pulses in optical fiber amplifiers
[J]. Opt Lett., 2000, 25(24):1753-1755
[10]Toshihiko Hirooka, Masataka Nakazawa. Parabolic pulse generation by use of a dispersion decreasing fiber with normal group-velocity dispersion
[J]. Opt Lett. 2004,29(5): 498-500

[11]Finot C, Barviau B, Millot G et al.Parabolic pulse generation with active or passive dispersion decreasing optical fibers
[J].Opt Express.,2007,15 (24):15824-15835

[12]Chen H T,Wu Z M,Yang W Y,et al.Optimization of adiabatic compression in dispersion decreasing fiber using distributed Raman amplification
[J]. Chinese Journal of Quantum Electronics(量子电子学报),2006,23(1):103-108 (in chinese).

[13]Mu L M,Yu Z H,Ji C J,et al.Application of ladder curve approximation of dispersion decrease fiber's GVD in dispersion management systems
[J]. Chinese Journal of Quantum Electronics(量子电子学报), 2008, 25(3): 359-363 (in chinese).

[14]KiblerB,Billet C, Lacourt P A,et al.Parabolic pulse generation in comb-like profiled dispersion decreasing fibre
[J]. Electronics Letters, 2006, 42 (17): 965-966
[15] Agrawal G P. Nonlinear Fiber Optics
[M]. San Diego, Academic Press,1995