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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