Bifurcation to mixed external cavity mode solutions for semiconductor lasers subject to optical feedback

The Lang and Kobayashi equations modeling a semiconductor laser subject to optical feedback admit time-periodic solutions which are combinations of two distinct external cavity modes. We construct these solutions analytically and show that they emerge and disappear at two distinct Hopf bifurcation p...

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Bibliographic Details
Published in:Optics communications 2000-09, Vol.183 (5), p.467-477
Main Authors: Erneux, T., Rogister, F., Gavrielides, A., Kovanis, V.
Format: Article
Language:English
Subjects:
Dynamics of nonlinear optical systems
optical instabilities, optical chaos and complexity, and optical spatio-temporal dynamics
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Lasers
Nonlinear optics
Optics
Physics
Semiconductor lasers
laser diodes
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Summary:The Lang and Kobayashi equations modeling a semiconductor laser subject to optical feedback admit time-periodic solutions which are combinations of two distinct external cavity modes. We construct these solutions analytically and show that they emerge and disappear at two distinct Hopf bifurcation points. These mixed external cavity mode solutions exhibit interesting high frequency time-periodic intensities. Furthermore, they undergo a secondary bifurcation to quasiperiodic oscillations which we investigate numerically. Our analysis complements earlier investigations by Tager and Peterman (IEEE J. of Quant. Electron. 30 (1994) 1553) and provide a first explanation of recent experimental observations for a diode laser subject to two optical feedbacks.
ISSN:0030-4018
1873-0310
DOI:10.1016/S0030-4018(00)00899-3