| | | Document Type | : | Latin Dissertation | | Language of Document | : | English | | Record Number | : | 53690 | | Doc. No | : | TL23644 | | Call number | : | 3215053 | | Main Entry | : | Jung Won Park | | Title & Author | : | Fast spinning -top dynamics of photorefractive gratingJung Won Park | | College | : | Southern Illinois University at Carbondale | | Date | : | 2006 | | Degree | : | Ph.D. | | student score | : | 2006 | | Page No | : | 122 | | Abstract | : | The photorefractive grating along with the two-coupled waves produces a rich spatiotemporal dynamics such as those of solitons and chaos. In this study, we relate this dynamics to that of a spinning-top where the photorefractive-coupling constant is large or more importantly the photorefractive dynamics is much faster than the photorefractive response time of the material. The new solutions, namely the spinning-top dynamics to the grating dynamics equations are presented and numerically solved in the form of the Jacobi's Elliptic functions where their periods interestingly depend on the boundary and initial conditions. In a special case, the solutions are not periodic and are described in the form of hyperbolic functions. In this study we also encountered two conservations laws: one was expected, namely, the total pump and probe intensity is constant. The other is that the sum of the weighted pump intensity and the grating magnitude is constant. A comparison is made between the theoretical predictions and the observed experimental results for the spatiotemporal dynamics of the transmitted recording intensities in a doped BaTiO3 crystal. It is shown that the spatiotemporal grating can result in a periodic space-charge field which in turn generates the space charge waves in the periodic case. | | Subject | : | Applied sciences; Barium titanate; Grating modulation; Jacobi's elliptic functions; Photorefractive grating; Spinning-top; Electrical engineering; 0544:Electrical engineering | | Added Entry | : | M. R. Sayeh | | Added Entry | : | Southern Illinois University at Carbondale |
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