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

Abstract

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

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.

References

[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