Dynamics of the modulation instability spectrum in optical fibers with oscillating dispersion

A simple analytical model is developed to analyze and explain the complex dynamics of the multipeak modulation instability spectrum observed in dispersion oscillating optical fibers [M. Droques et al., Opt. Lett. 37, 4832 (2012)]. We provide a simple expression for the local parametric gain, which shows that each of the multiple spectral components grows thanks to a quasi-phase-matching mechanism due to the periodicity of the waveguide parameters, in good agreement with numerical simulations and experiments. This simplified model is alsosuccessfullyusedtotailorthemultipeakmodulationinstabilityspectrumshape.Thesetheoreticalpredictions are confirmed by experiments.

[1]  Width-modulation of Si photonic wires for quasi-phase-matching of four-wave-mixing: experimental and theoretical demonstration. , 2012, Optics express.

[2]  K. Porsezian,et al.  Critical behavior with dramatic enhancement of modulational instability gain in fiber systems with periodic variation dispersion , 2008 .

[3]  A. Mecozzi,et al.  Sideband instability induced by periodic power variation in long-distance fiber links. , 1993, Optics letters.

[4]  Ajit Kumar,et al.  Modulational instability in fiber systems with periodic loss compensation and dispersion management , 2003 .

[5]  C. Angelis,et al.  Parametric gain in fiber systems with periodic dispersion management , 2002 .

[6]  K Inoue,et al.  Signal wavelength dependence of gain saturation in a fiber optical parametric amplifier. , 2001, Optics letters.

[7]  Rainer Leonhardt,et al.  Scalar modulation instability in the normal dispersion regime by use of a photonic crystal fiber. , 2003, Optics letters.

[8]  J Nathan Kutz,et al.  Modulational stability of plane waves in nonreturn-to-zero communications systems with dispersion management. , 1996, Optics letters.

[9]  R. Leonhardt,et al.  Quasi-phase-matched modulation instability in birefringent fibers. , 1997, Optics letters.

[10]  Zabih Ghassemlooy,et al.  Conference on Optical Fiber Communication, Technical Digest Series , 2014 .

[11]  K. Kikuchi,et al.  Observation of quasi-phase matched four-wave mixing assisted by periodic power variation in a long-distance optical amplifier chain , 1995, IEEE Photonics Technology Letters.

[12]  D. Psaltis,et al.  Modulational instability in a layered Kerr medium: theory and experiment. , 2006, Physical review letters.

[13]  E. A. Golovchenko,et al.  Unified analysis of four-photon mixing, modulational instability, and stimulated Raman scattering under various polarization conditions in fibers , 1994 .

[14]  N. J. Smith,et al.  Sideband generation through perturbations to the average soliton model , 1992 .

[15]  N. J. Smith,et al.  Modulational instabilities in fibers with periodic dispersion management. , 1996, Optics letters.

[16]  R. Morandotti,et al.  Experimental observation of discrete modulational instability. , 2004, Physical review letters.

[17]  F. Biancalana,et al.  Tunable modulational instability sidebands via parametric resonance in periodically tapered optical fibers. , 2012, Optics express.

[18]  Allister I. Ferguson,et al.  Interacting solutions in erbium fibre laser , 1991 .

[19]  S. Kelly,et al.  Characteristic sideband instability of periodically amplified average soliton , 1992 .

[20]  A. Mussot,et al.  Experimental demonstration of modulation instability in an optical fiber with a periodic dispersion landscape. , 2012, Optics letters.

[21]  R. Leonhardt,et al.  Quasi-phase matching in an optical fiber with periodic birefringence , 1997 .

[22]  Philippe Emplit,et al.  Experimental study of the reversible behavior of modulational instability in optical fibers , 2002 .

[23]  Josselin Garnier,et al.  Modulational instability of electromagnetic waves in inhomogeneous and in discrete media , 2002 .

[24]  T. Horiguchi,et al.  Sideband instability in long-distance transmission systems with dispersion management , 1998 .

[25]  M. S. Moreolo,et al.  Optical Fiber Communication Conference , 2014 .

[26]  S Wabnitz,et al.  Dynamics of the nonlinear modulational instability in optical fibers. , 1991, Optics letters.

[27]  David J. Richardson,et al.  Pulse Repetition-Rates in a Passive, Self-Starting, Femtosecond Soliton Fibre Laser , 1991, Nonlinear Guided-Wave Phenomena.

[28]  P. Kaewplung,et al.  Complete analysis of sideband instability in chain of periodic dispersion-managed fiber link and its effect on higher order dispersion-managed long-haul wavelength-division multiplexed systems , 2002 .

[29]  F. Lederer,et al.  Modulational instability in optical fibers with variable dispersion , 1996 .