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Proceedings Paper

Better approximation of the solution for the propagation of the quasi-solitons
Author(s): Paul E. Sterian; Tiberiu Visan; Laurentiu Tescan
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Paper 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.

Paper Details

Date Published: 9 August 2002
PDF: 4 pages
Proc. SPIE 4762, ALT'01 International Conference on Advanced Laser Technologies, (9 August 2002); doi: 10.1117/12.478634
Show Author Affiliations
Paul E. Sterian, Univ. Politehnica of Bucharest (Romania)
Tiberiu Visan, Univ. Politehnica of Bucharest (Romania)
Laurentiu Tescan, Univ. Politehnica of Bucharest (Romania)

Published in SPIE Proceedings Vol. 4762:
ALT'01 International Conference on Advanced Laser Technologies

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