Bounded Phase Phenomena in the Optically Injected Laser

Authors

Bryan Kelleher, Centre for Applied Photonics and Process Analysis, Cork Institute of Technology, Cork, Ireland; Tyndall National Institute, Lee Maltings, Cork, Ireland
David Goulding, Tyndall National Institute, Lee Maltings, Cork, Ireland; Department of Physics, University College Cork, Cork, IrelandFollow
B. Baselga Pascual, Centre for Applied Photonics and Process Analysis, Cork Institute of Technology, Cork, Ireland; Tyndall National Institute, Lee Maltings, Cork, Ireland
Stephen P. Hegarty, Tyndall National Institute, Lee Maltings, Cork, IrelandFollow
Guillaume Huyet, Centre for Applied Photonics and Process Analysis, Cork Institute of Technology, Cork, Ireland; Tyndall National Institute, Lee Maltings, Cork, IrelandFollow

ORCID

https://orcid.org/ 0000-0002-4144-4826

Document Type

Article

Disciplines

Optics | Physical Sciences and Mathematics | Physics

Publication Details

Physical Review E, vol. 85, 046212.

© 2012 American Physical Society

Abstract

Two routes to phase-locking in the optically injected laser system are investigated both involving limit cycles where the phase of the slave laser is unlocked but is nevertheless bounded. We use an experimental phase-resolving technique to unambiguously demonstrate the phenomenon via explicit phasors for the slave laser electric field. Theoretical considerations show that for locking mechanisms involving Hopf bifurcations, such limit cycles of bounded phase are generic. For weakly damped devices, such as quantum well lasers, this can involve an excited resonance at the relaxation oscillation frequency. For highly damped devices there is no such excitation but the bounded phase behavior must persist. Phasor portraits for other regimes are also obtained including a chaotic regime.

Recommended Citation

Kelleher, Bryan & Goulding, David & Pascual, B & Hegarty, Stephen & Huyet, Guillaume. (2012). Bounded phase phenomena in the optically injected laser. Physical review. E, Statistical, nonlinear, and soft matter physics. 85. 046212. 10.1103/PhysRevE.85.046212.