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Nonlinear Dynamics and Spectral Stability of Optoelectronic Microwave Oscillators

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dc.creator Chembo Kouomou, Yanne
dc.creator Larger, Laurent
dc.creator Colet, Pere
dc.date 2008-05-13T16:43:45Z
dc.date 2008-05-13T16:43:45Z
dc.date 2008-04
dc.date.accessioned 2017-01-31T01:17:09Z
dc.date.available 2017-01-31T01:17:09Z
dc.identifier IEEE J. Quantum Electron. to be published, (2008)
dc.identifier 0018-9197
dc.identifier http://hdl.handle.net/10261/4217
dc.identifier.uri http://dspace.mediu.edu.my:8181/xmlui/handle/10261/4217
dc.description Accepted for publication in IEEE Journal of Quantum Electronics.
dc.description We use a nonlinear dynamics approach to study the deterministic behavior of ultra-pure microwave generators referred to as optoelectronic oscillators. In conventional studies, the standard nonlinear effects are very strongly rejected because they generate harmonics of the microwave frequency that are definitely out of the selective oscillator bandwidth. However, an important point we emphasize in this paper is that the nonlinearity still affects the slowly varying dynamics of microwave envelope, thereby inducing dynamical instabilities within the oscillator bandwidth. Starting from a full integro-differential model, we use the multiple timescales method to build a delay-differential equation for the slowly-varying complex envelope of the microwave. Then, the corresponding stationary solutions are derived, and the stability of their amplitude and phase is investigated in detail as a function of the feedback gain. We evidence essential bifurcation phenomena, and in particular we demonstrate that the generated microwave may turn unstable if the gain is increased beyond a precise critical value. This nonlinear dynamics approach therefore demonstrates that the ultra-pure microwave's amplitude does not monotonously increase with the gain. The theoretical study is confirmed by numerical simulations and experimental measurements.
dc.description Y.K.C. acknowledges a research fellowship from the Région de Franche-Comté in France. Financial support from MEC (Spain) and FEDER under projects TEC2006-10009 (PhoDeCC) and FIS2007-60327 (FISICOS) is acknowledged.
dc.description Peer reviewed
dc.format 553949 bytes
dc.format application/pdf
dc.language eng
dc.publisher Institute of Electrical and Electronics Engineers
dc.relation IFISC-3674
dc.relation Preprint
dc.rights openAccess
dc.subject Optoelectronic devices
dc.subject Microwave generation
dc.subject Delay effects
dc.subject Nonlinear oscillators
dc.title Nonlinear Dynamics and Spectral Stability of Optoelectronic Microwave Oscillators
dc.type Pre-print

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