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研究生:王思涵
研究生(外文):Ssu-HanWang
論文名稱:利用瓶形光束泵源控制低階光學渦流產生
論文名稱(外文):Generation of low-order vortex beam in a solid-state laser pumped by a bottle beam
指導教授:魏明達
指導教授(外文):Ming-Dar Wei
學位類別:碩士
校院名稱:國立成功大學
系所名稱:光電科學與工程學系
學門:工程學門
學類:電資工程學類
論文種類:學術論文
論文出版年:2020
畢業學年度:108
語文別:中文
論文頁數:62
中文關鍵詞:光學渦流軌道角動量軸稜錐M2 品質因子
外文關鍵詞:optical vortexorbital angular momentumaxiconM2 quality factor
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本實驗是利用軸稜錐來產生貝索光束(Bessel beam),搭配透鏡產生瓶形光束(bottle beam),改變透鏡焦距以及軸稜錐到透鏡距離可以塑形不同的瓶型光束,我們將環形光泵浦Nd:YVO4晶體,共振腔輸出的雷射光帶有不同的軌道角動量(orbital angular momentum),可以調整晶體以及輸出耦合鏡位置來產生特定軌道角動量的光學渦流,也能在固定的腔長下調控不同軌道角動量來產生不同的環形光大小,並使用圓柱透鏡、馬赫.曾爾德干涉儀(Mach-Zehnder interferometer)以及M2品質因子等方式驗證其相位分佈。
SUMMARY
In this thesis, we use the bottle beam to pump the Nd:YVO4 laser crystal to generate optical vortex beam. The bottle beam is shaped by comprising of axicon and lens, so we can shape different spot size of bottle beam by adjusting the focal length of the lens and the distance between the axicon and the lens. Considering different spot sizes of bottle beam, the relative position of lens and laser crystal, and cavity length, we can generate optical vortex with different orbital angular momentum. We can adjust the parameters and thus produce optical vortex beams of topological charge l = 1 ~ 6, and prove that the radius of the output annular beam will increase as the topological charge number rises. Finally, we use Mach-Zehnder interferometer, cylindrical lens, M^2 quality factor to verify the topological charge of optical vortex .
摘要 I
SUMMARY II
誌謝 VI
目錄 VII
圖目錄 IX
表目錄 XI
第一章 序論 1
1.1 簡介 1
1.2 研究動機與目的 5
第二章 光學渦流 6
2.1 光學渦流的軌道角動量 6
2.2 以軸稜錐產生之瓶型光束 9
2.3渦流光束軌道角動量的檢測方法 18
2.3.1 渦流光束的干涉與疊加態 18
2.3.2 圓柱透鏡判斷拓樸電荷 19
2.3.3 M-squared品質因子 21
第三章 實驗數據與討論 28
3.1實驗架構與步驟 28
3.2瓶形光束泵源的特性 29
3.3 光學渦流的輸出特性 33
3.3.1不同腔長下的軌道角動量 33
3.3.2 固定腔長下調控渦流光束 41
第四章 結論與未來展望 56
4.1 結論 56
4.2 未來展望 56
參考文獻 57
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