Generation, compression and propagation of pulse trains under higher-order effects

Juanfen Wang, Lu Li, Zhonghao Li, Guosheng Zhou, Dumitru Mihalache, Boris A. Malomed

Research output: Contribution to journalArticlepeer-review

Abstract

A generalized higher-order nonlinear-Schrödinger model of the transmission of subpicosend optical pulses in dispersion-decreasing fibers, with variable coefficients of the second- and third-order dispersion, nonlinearity, self-steepening, intra-pulse stimulated Raman scattering, and gain or loss, is considered. Imposing generalized Hirota conditions on the variable coefficients, we obtain exact solutions for a soliton sitting on top of a continuous-wave (CW) background by means of the Darboux transform. In the general form, the same solution provides for an exact description of the development of the modulational instability of a CW state, initiated by an infinitesimal periodic perturbation and leading to formation of a periodic array of solitons with a residual CW background. To obtain a more practically relevant solution for a soliton array without the CW component, we subtract it from the exact solution, and use the result as an initial approximation, to generate solutions in direct simulations. As a result, we obtain robust pulse trains, which are stable against arbitrary perturbations, as well as against violations of the Hirota conditions that were imposed to generate the initial exact solution.

Original languageEnglish
Pages (from-to)328-336
Number of pages9
JournalOptics Communications
Volume263
Issue number2
DOIs
StatePublished - 15 Jul 2006

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