光學漩渦為一帶有軌道角動量的環型光束，由於光學漩渦的獨特特性以及應用，在現今的研究中引起越來越多的關注，儘管在現今有許多建構光學漩渦的方式，例如螺旋相位板、全相片或者是Q板來產生光學漩渦，但是卻有產生的光束品質不佳的問題，我們嘗試將螺旋相位板置入簡併式雷射共振腔來產生高品質的渦流雷射，並透過實驗成功產生帶有拓樸電荷+1的高品質脈衝式渦流光束。
在被動式Q開關中我們使用Cr:YAG晶體作為飽和吸收體，幫浦功率臨界能量3500mW，而在幫浦介於4180mW ~ 5860mW，產生脈衝能量為23.3μJ ~ 26.1μJ，平均功率為121mW ~ 274mW的脈衝式渦流光束。而脈衝宽度隨著幫浦能量增加從85ns降到57ns，並且由干涉量測可以確定拓樸電荷為+1。而在主動式Q開關中我們使用聲光調變元件來改變品質因子，並且在實驗中成功產生脈衝式的渦流光束。幫浦功率在臨界能量3030mW以上且小於5040mW，脈衝宽度400 ~600 ns, 平均功率為5mW ~ 150mW的脈衝式渦流光束，並且由干涉量測可以確定拓樸電荷為+1。這是首次成功利用簡併式雷射共振腔中實現脈衝式非高斯式渦流光束。

Optical vortex (OV) is a special type of laser beam, which carries well defined orbital angular momentum. Due to the phase singularity, OV has a vanishing intensity at the center of the. The unique property of OV beams has attracted many interests in application but high quality OV beam are rare specifically in pulsed operation. We proposed to generate Q-switched (QS) OV beam using a degenerate resonator with an intra-cavity spiral phase plate (SPP). and experimentally demonstrated the generated Q-switched pulse of OV beam carrying a topological charge +1 at a wavelength of 1064nm.
For passive QS laser, we use Cr:YAG crystal as a saturable absorber and produce OV pulse when the pumping power is above a threshold value of 3500mW. The pumping power between 4180mW ~ 5860mW, the OV pulse has a pulse energy of 23.3 ~ 26.1μJ , pulse duration of 85~57ns and average power of 121~274mW. On the other hand, an active QS laser built with acoustic-optic modulator (AOM) produces OV pulse when the pumping power is above a threshold value of 3030mW. Below a pumping power of 5040mW, the OV pulse has pulse duration of 400~600ns and average power of 5~150mW. This is for the first time QS OV beam was generated in a degenerate resonator with an intra-cavity SPP.

論文審定書 i
摘要 ii
目錄 v
圖次 vii
表次 ix
第一章 緒論 1
1-1 光學漩渦簡介 1
1-2 Q開關簡介 3
1-3 研究動機 4
1-4 論文架構 4
第二章 快速飽和吸收體的被動式Q開關理論基礎與分析 5
2-1 被動式Q開關的速率方程式 5
2-2 MI(MODULATION INSTABILITY)分析 8
第三章 被動Q開關在簡併型共振腔產生脈衝式渦流光束 13
3-1 實驗架構 13
3-2 簡併型共振腔 15
3-3 置入不同飽和吸收體 18
3-3-1 以二維拓樸材料做為飽和吸收體 18
3-3-2 以Cr:YAG做為飽和吸收體 19
3-4 實驗量測與數據 21
3-5 渦流光束的干涉 29
3-5驗證是否為多重路徑 31
3-7 結果分析與討論 34
第四章 主動式Q開關產生脈衝式渦流光束 35
4-1 實驗架構 35
4-2 實驗量測與數據 37
4-3 結果分析與討論 43
第五章 結論與未來展望 44
5-1 結論 44
5-2 未來展望 44
參考文獻 45

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