Moment method, Higher order dispersion map and other effects in optical pulse propagation

Details Moment method, Higher order dispersion map and other effects in optical pulse propagation Moment method, Higher order dispersion map and other effects in optical pulse propagation

2005-01-03

arxiv.org/abs/nlin/0501005v1

Nonlinear Sciences

Pattern Formation and Solitons

7 pages,6 figures. submitted for publication

Scientific paper

Analytical and numerical procedures are applied to show that both third and second order dispersion maps can be explicitly constructed and their mutual effects on the optical pulse propagation are analysed. In these connection it is also shown how the other important features such as amplification, intra-channel Raman Scattering(IRS), fibre loss, centre frequency of the pulse spectrum effect the propagation of pulse. Due to the presence of IRS, moment method is adopted which is easily reduced to usual Hamiltonian technique in absence of IRS. It is observed that the long time periodic behaviour is stabilized by the third order dispersion map. Though the introduction of IRS and other effects perturb the situation, one can observe that except for a very special case it remains stable

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