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Optics Express

Optics Express

  • Editor: Michael Duncan
  • Vol. 14, Iss. 17 — Aug. 21, 2006
  • pp: 7610–7616

Perturbative approach to continuum generation in a fiber Bragg grating

P. S. Westbrook and J. W. Nicholson  »View Author Affiliations

Optics Express, Vol. 14, Issue 17, pp. 7610-7616 (2006)

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We derive a perturbative solution to the nonlinear Schrödinger equation to include the effect of a fiber Bragg grating whose bandgap is much smaller than the pulse bandwidth. The grating generates a slow dispersive wave which may be computed from an integral over the unperturbed solution if nonlinear interaction between the grating and unperturbed waves is negligible. Our approach allows rapid estimation of large grating continuum enhancement peaks from a single nonlinear simulation of the waveguide without grating. We apply our method to uniform and sampled gratings, finding good agreement with full nonlinear simulations, and qualitatively reproducing experimental results.

© 2006 Optical Society of America

OCIS Codes
(050.2770) Diffraction and gratings : Gratings
(060.2310) Fiber optics and optical communications : Fiber optics
(190.4370) Nonlinear optics : Nonlinear optics, fibers

ToC Category:
Fiber Optics and Optical Communications

Original Manuscript: May 18, 2006
Revised Manuscript: June 28, 2006
Manuscript Accepted: June 28, 2006
Published: August 21, 2006

P. S. Westbrook and J. W. Nicholson, "Perturbative approach to continuum generation in a fiber Bragg grating," Opt. Express 14, 7610-7616 (2006)

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  11. Y. Li, F. C. Salisbury, Z. Zhu, T. G. Brown, P. S. Westbrook, K. S. Feder, and R. S. Windeler, "Interaction of supercontinuum and Raman solitons with microstructure fiber gratings," Opt. Express 13, 998-1007 (2005). [CrossRef] [PubMed]
  12. K. Kim, S. A. Diddams, P. S. Westbrook, J. W. Nicholson, and K. S. Feder, "Improved stabilization of a 1.3 μm femtosecond optical frequency comb by use of a spectrally tailored continuum from a nonlinear fiber grating," Opt. Lett. 31, 277-279 (2006). [CrossRef] [PubMed]
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