Instabilities and tracking of travelling wave patterns in a three-level laser

Citation
Wp. Lu et al., Instabilities and tracking of travelling wave patterns in a three-level laser, INT J B CH, 8(9), 1998, pp. 1769-1775
Citations number
21
Categorie Soggetti
Multidisciplinary
Journal title
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
ISSN journal
02181274 → ACNP
Volume
8
Issue
9
Year of publication
1998
Pages
1769 - 1775
Database
ISI
SICI code
0218-1274(199809)8:9<1769:IATOTW>2.0.ZU;2-V
Abstract
Based on our earlier theoretical work on tracking periodic patterns into sp atiotemporal chaotic regimes in spatially extended systems, we present in t his article a case study of a high-aspect-ratio three-level laser. Followin g a detailed investigation into travelling wave solutions of the laser syst em and their stability conditions, we discuss ways of stabilising these sol utions by local feedback algorithms. In numerical simulations, we choose Py ragus continuous delayed feedback algorithm to be the local feedback form a nd demonstrate that stable travelling wave solutions of the spatially exten ded three-level laser can be greatly extended to unstable regions in the pr esence of this feedback.