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ECOLE SUPÉRIEURE D'ÉLECTRICITÉ Une grande école d'ingénieurs au cœur des sciences de l'information,de l'énergie et des systèmes |
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Journal articles
Hopf bifurcation to square-wave switching in mutually coupled semiconductor lasers
Abstract : Using advanced continuation techniques for dynamical systems, we elucidate the bifurcations leading to asymptotically stable square-wave pulsing and polarization mode switching in semiconductor lasers with mutual time-delayed and polarization rotating coupling. We find that the increase of coupling strength leads to a cascade of Hopf bifurcations on a mixed-mode steady state up to a transcritical bifurcation on a so-called pure-mode steady state where both lasers emit with the injected polarization state. From these successive Hopf bifurcations emerge time-periodic solutions that have a period close to the laser relaxation oscillation for weak coupling but a period close to twice the time delay for large coupling strength. The wave form of the time-periodic solutions also evolves from harmonic pulsing up to square-wave pulsing as has been observed recently in experiments.
https://hal-supelec.archives-ouvertes.fr/hal-00725920
Contributor : Sébastien van Luchene <>
Submitted on : Tuesday, August 28, 2012 - 12:09:06 PM
Last modification on : Monday, November 16, 2020 - 3:56:03 PM
Contributor : Sébastien van Luchene <>
Submitted on : Tuesday, August 28, 2012 - 12:09:06 PM
Last modification on : Monday, November 16, 2020 - 3:56:03 PM