臺灣博碩士論文加值系統

本實驗中使用瓶型光束泵浦兩面鏡平凹共振腔的雷射系統，通過改變聚焦距離可以改變晶體上泵源光環的與否與狀態，藉此產生不同股數的光學渦流，並藉由馬赫．曾爾德干涉儀驗證其相位分佈。
同時我們也在泵源做時序上的調製觀察這個系統的非線性動態行為，我們把調製的頻率靠近雷射系統的鬆弛震盪頻率，使調製頻率與鬆弛震盪頻率共振並使用不同大小環的泵源光打在增益晶體；比較當產生不同股數的渦流它們的非線性動態行為有那些差異。
最後我們會把腔長小幅移動到最近的橫模簡併腔，是1/3橫模簡併的位置，除了比較不同股數的渦流他們的非線性動態行為有哪些差異，同時也比較簡併腔與非簡併腔非線性動態行為的差異。

In the first part of the experiment, we use the 808 nm bottle beam to pump the Nd:YVO4 laser to generate optical vortices. The bottle beam had different spot sizes at different distance, so we adjusted the cavity length to obtain several different spot sizes to pump the crystal. By doing this, optical vortices with different orbital angular momentums has been generated. In the second part of the experiment, we added a sinusoidal modulation signal, which was near the relaxation oscillation signal of the system, directly to the pumping source to analyze the output signals of optical vortices with different topological charges. We also made a comparison of the output signals of the mode-degenerate cavity configuration and the non-mode-degenerate cavity configuration.

第一章：序論 1
1-1 簡介 1
1-2 動機 4
第二章：概念與原理 5
2-1 由軸稜錐透鏡產生BOTTLE BEAM 5
2-2 光學渦流與LAGUERRE-GAUSSIAN MODE 9
2-3 雷射混沌行為與極端事件 15
第三章：實驗數據 20
3-1 實驗架構 20
3-2 實驗方式 22
3-3 由環形泵源產生的光學渦流 24
3-4 渦流的非線性動態行為 30
第四章：結論與未來展望 42
參考文獻 43

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