Modulational instability in lossless fibers with saturable delayed nonlinear response
JOSA B, Vol. 26, Issue 1, pp. 183-188 (2009)
http://dx.doi.org/10.1364/JOSAB.26.000183
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Abstract
We investigate the modulational instability of optical pulses propagating in a lossless fiber where both effects of relaxation and saturation of the nonlinearity are taken simultaneously into account. The saturation of the nonlinearity is incorporated in the relaxation dynamics of the Kerr response. We calculate the exact dispersion relation for harmonic perturbations over the stationary solution. In the anomalous dispersive regime, the gain spectrum exhibits two bands in the fast relaxation regime. The low energy band is reduced by the saturation of the nonlinearity but is roughly insensitive to the nonlinearity response time. The high energy band is mainly due to the Raman response. These frequency bands superpose for fast relaxation responses and a new behavior sets up. In the normal dispersive regime, a single instability band sets up associated with the finite response time of the nonlinearity with distinct features for fast and slow nonlinear relaxation.
© 2008 Optical Society of America
OCIS Codes
(190.3100) Nonlinear optics : Instabilities and chaos
(190.4380) Nonlinear optics : Nonlinear optics, four-wave mixing
(190.5530) Nonlinear optics : Pulse propagation and temporal solitons
ToC Category:
Nonlinear Optics
History
Original Manuscript: October 2, 2008
Manuscript Accepted: November 5, 2008
Published: December 24, 2008
Citation
G. L. da Silva, Iram Gleria, M. L. Lyra, and A. S. B. Sombra, "Modulational instability in lossless fibers with saturable delayed nonlinear response," J. Opt. Soc. Am. B 26, 183-188 (2009)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-26-1-183
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