Quasi-soliton propagation along a dispersion-profiled fiber using second-order moment theory

A. Gajadharsingh; Pierre-Andre Belanger

doi:10.1117/12.473816

17 February 2003 Quasi-soliton propagation along a dispersion-profiled fibre using second-order moment theory

A. Gajadharsingh, Pierre-Andre Belanger

Proceedings Volume 4833, Applications of Photonic Technology 5; (2003) https://doi.org/10.1117/12.473816
Event: Applications of Photonic Technology 5, 2002, Quebec City, Canada

Abstract

We show, through second order moment theory, the existence of a new regime of self-similar chirped-solitary wave in an appropriately dispersion-profiled fibre. This study completes the concept of quasi-solitons introduced by Kumar and Hasegawa. Theory reveals the existence of an invariant relation respected by quasi-solitons. This invariant relation can be fully recovered by the usual variational approach of the non-linear Schroedinger equation (NLS) and it can be used to study non-linear pulse propagation in constant dispersion optical fibers and ultimately for dispersion management. The work has been carried out for the lossless as well as for the lossy case.

Citation Download Citation

A. Gajadharsingh and Pierre-Andre Belanger "Quasi-soliton propagation along a dispersion-profiled fibre using second-order moment theory", Proc. SPIE 4833, Applications of Photonic Technology 5, (17 February 2003); https://doi.org/10.1117/12.473816

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KEYWORDS

Dispersion

Numerical simulations

Optical fibers

Nonlinear optics

Differential equations

Ordinary differential equations

Wave propagation

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