The 3rd Eigen Modes of PWE：Study for the Ince-Gaussian Modes in Optical Trapping and its Application
| Autor: | Chao-Shun Yang, 楊朝舜 |
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| Rok vydání: | 2009 |
| Druh dokumentu: | 學位論文 ; thesis |
| Popis: | 97 IGMs are a kind of experimentally new-identified optical mode, standing with apparent potential in design and application. However, the mathematical expression of IGMs under Elliptic Cylindrical coordinates, preventing us from understanding IGMs instinctively, stands a formidable challenge in application. The pure mathematical expressions of IGMs are composed by a great deal of calculation, which also bids us no help in common use. I am, therefore, prompted to build an easier mathematical approach in this study. While the composition periodic potential well has been being a focused issue, and the multi-point trap has been applied wildly in many fields, such optical tool has been expected more in application and many issue has also been identified for potential further research, which indeed many outstanding work had been done so far by the scientists.Here, with the analytical form of IGMs, a simplified mathematical expression of IGMs feathers can be achieved. This was also introduced on periodic potential well issues and, via a practicable design, the advantage of periodic potential well model with IGMs was presented. Finally, statistical theory was also introduced in order to combine the available physical concepts and methods with the optical model built in this research, enabling the prediction of possible results through these physical laws. The stability of this optical tool has also been discussed by the possibility of the escaping trap, which also provides a theoretical reference for further application of optical trap. |
| Databáze: | Networked Digital Library of Theses & Dissertations |
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