Influence of Kerr dispersion and intrapulse Raman scattering on propagation characteristics of solitons

Abstract

Abstract: Higher order nonlinear Schr?dinger equation including Kerr dispersion term, self -frequency shift (SFS) term cased by Raman scattering within pulse is solved by variational method. Evolution equations of Gaussian pulse parameters with propagation distance under different parameters are derived. Constraint relations between pulse width and amplitude, pulse width and chirp are obtained. Results show that the soliton center frequency does not change under the appropriate parameter setting and there’s no jitter. Under certain conditions, the self-frequency shift and Kerr dispersion effects cancel each other out, the pulses propagate stably in the form of breather within a certain distance.

Key words: nonlinear Schr?dinger equation; Gaussian pulse; variational method; self-frequency shift; Kerr dispersion

CLC Number:

O437.3

Huang Junkun, Zhang Shaowu. Influence of Kerr dispersion and intrapulse Raman scattering on propagation characteristics of solitons [J]. J4, 2018, 35(2): 204-208.

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