9 August 2002 Better approximation of the solution for the propagation of the quasi-solitons
Author Affiliations +
Proceedings Volume 4762, ALT'01 International Conference on Advanced Laser Technologies; (2002) https://doi.org/10.1117/12.478634
Event: International Conference on: Advanced Laser Technologies (ALT'01), 2001, Constanta, Romania
Abstract
In this paper is proposed a more precise mathematical analytical expression to the propagation solutions along an optical fiber with a dispersion profile adapted to the so called quasi-solitons introduced by Kumar and Hasegawa. An approximation based of variational methods has also been made by C. Pare. The propagation characteristic parameters of these pulses are described by the same propagation law. The concept of quasi-soliton has been recently introduced, as a chirped soliton adapted to a novel dispersion profile. By using a periodic amplification and a grating for chirp reconstruction, the transmission over a long distance is allowed. The mathematical expression of a such quasi-soliton is well defined except its envelope that is described by the eigenfunctions of the following non-linear differential equation: fxx + (alpha) f3 -(a + bx2)f equals 0 Taking into account that the term (alpha) is much less the others one can try to solve out the following equation: fxxequals(a+bx2)f.
© (2002) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Paul E. Sterian, Paul E. Sterian, Tiberiu Visan, Tiberiu Visan, Laurentiu Tescan, Laurentiu Tescan, } "Better approximation of the solution for the propagation of the quasi-solitons", Proc. SPIE 4762, ALT'01 International Conference on Advanced Laser Technologies, (9 August 2002); doi: 10.1117/12.478634; https://doi.org/10.1117/12.478634
PROCEEDINGS
4 PAGES


SHARE
Back to Top