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Hysteresis of periodic and chaotic passive q-switching self-pulsation in a molecular laser model, and the stark effect as a codimension-2 parameter

Title:

Hysteresis of periodic and chaotic passive q-switching self-pulsation in a molecular laser model, and the stark effect as a codimension-2 parameter

Doedel, Eusebius and Pando, L. Carlos L. (2012) Hysteresis of periodic and chaotic passive q-switching self-pulsation in a molecular laser model, and the stark effect as a codimension-2 parameter. International Journal of Bifurcation and Chaos, 22 (10). p. 1250238. ISSN 0218-1274

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Official URL: http://dx.doi.org/10.1142/S0218127412502380

Abstract

We give a systematic comparison of a molecular model for a CO2 laser with a fast saturable absorber and a reduced version of this model. Overall, we find that there is good agreement between these models. We use numerical continuation algorithms to analyze the bifurcation structure of the equations, and complement the results by numerical simulations to model possible experiments. Our study predicts the existence of isolas of periodic passive Q-switching self-pulsations and a rich structure of Q-intervals of stability for these periodic orbits, where Q represents the incoherent pump of the laser. These intervals correspond to the observed phenomenon known as period-adding cascades. Computed loci of codimension-1 bifurcations show that a small shift of a secondary parameter in the reduced model with respect to that of the complete model substantially improves their quantitative agreement. This parameter is associated with the action of the Stark effect in the absorber. We also discuss a necessary condition for chaotic windows to arise as Q changes.

Divisions:Concordia University > Gina Cody School of Engineering and Computer Science > Computer Science and Software Engineering
Item Type:Article
Refereed:Yes
Authors:Doedel, Eusebius and Pando, L. Carlos L.
Journal or Publication:International Journal of Bifurcation and Chaos
Date:October 2012
Digital Object Identifier (DOI):10.1142/S0218127412502380
Keywords:Lasers; bifurcation analysis; numerical continuation; transition to chaos
ID Code:977334
Deposited By: DANIELLE DENNIE
Deposited On:11 Jun 2013 19:28
Last Modified:18 Jan 2018 17:44

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