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http://hdl.handle.net/1903/7209
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| Title: | Dynamics and Synchronization of Nonlinear Oscillators with Time Delay: A Study with Fiber Lasers |
| Authors: | Franz, Anthony Lawrence |
| Advisors: | Roy, Rajarshi |
| Department/Program: | Physics |
| Type: | Dissertation |
| Sponsors: | Digital Repository at the University of Maryland
University of Maryland (College Park, Md.) |
| Keywords: | 0752
Physics, Optics
time delay; nonlinear oscillators; fiber lasers; synchronization; time delay feedback; Karhunen-Loeve decomposition |
| Issue Date: | 20-Jun-2007 |
| Abstract: | The effect of time delay on nonlinear oscillators is an important problem in the study of dynamical systems. Erbium-doped fiber ring lasers have an internal time scale set by the length of the laser's electromagnetic cavity. Long cavities allow thousands of modes to experience gain making it very difficult to model the lasers. We examine the effect of adding external time delays through feedback and coupling.
In the first experiment an external time delay is added to a laser by adding a feedback loop to the cavity. These delay times are varied over four orders of magnitude by changing the length of fiber in the feedback loop. The laser intensity dynamics are examined using time series, power spectra, time delay embeddings, and spatiotemporal representations. We apply Karhunen-Loeve (KL) decomposition on the spatiotemporal representations and use the Shannon entropy as calculated from the KL eigenvalue spectra as a measure of the complexity of the dynamics. For long delays we find that... |
| URI: | http://hdl.handle.net/1903/7209 |
| Appears in Collections: | Physics Theses and Dissertations
UM Theses and Dissertations
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| umi-umd-4605.pdf | | 21749Kb | Adobe PDF | 79 | View/Open |
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