Table of Contents Author Guidelines Submit a Manuscript
Research Letters in Optics
Volume 2008, Article ID 163937, 5 pages
http://dx.doi.org/10.1155/2008/163937
Research Letter

Analytical Structuring of Periodic and Regular Cascading Solutions in Self-Pulsing Lasers

1UCCS Artois, Université d'Artois, UMR CNRS 8181, Rue Jean Souvraz, SP18, 62300, Lens Cedex, France
2Laboratoire Lasers, Institut de Physique, USTHB, BP 32, El-Alia Bab-Ezzouar, Alger 16111, Algeria

Received 8 May 2008; Accepted 3 July 2008

Academic Editor: Fortunato Tito Arecchi

Copyright © 2008 Belkacem Meziane and Ahmed Aïssani. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

A newly proposed strong harmonic-expansion method is applied to the laser-Lorenz equations to analytically construct a few typical solutions, including the first few expansions of the well-known period-doubling cascade that characterizes the system in its self-pulsing regime of operation. These solutions are shown to evolve in accordance with the driving frequency of the permanent solution that we recently reported to illustrate the system. The procedure amounts to analytically construct the signal Fourier transform by applying an iterative algorithm that reconstitutes the first few terms of its development.