Theoretical Investigation Of Chaotic Behavior In Optical Microresonators

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Vahedi, Mohammad | 2011

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Type of Document: Ph.D. Dissertation
Language: Farsi
Document No: 42120 (04)
University: Sharif University of Technology
Department: Physics
Advisor(s): Bahrampour, Alireza
Abstract:
In this thesis, chaotic behavior of a photonic micro-resonator is investigated. First, a Lagrangian formulation is introduced for the system. Then, by applying a multi-reflection method, a closed formula is obtained for the radiation pressure. Use of this equation in the coupled differential equations describing dynamics of the problem gives us a suitable model for exploring the behavior of the micro-resonator. In this stage, we compare our results with experimental data too. On the other hand, using above mentioned formulation, chaotic behavior of the micro-resonator is investigated using numerical method. Finally, a period-doubling route to chaos appears in our results as is observed in experiments.
Keywords:
Instability ; Microresonator ; Chaos Theory ; Optomechanical Interaction ; Period-doubling Route

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