# 臺灣博碩士論文加值系統

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 在論文中，我們利用單模光纖SMF-28去掉纖衣再利用皮秒雷射加工製作以雷射光中心波長1064nm為準特定週期LPBG模態轉換元件。由於雷射模態在量測端出口端是個別模態電場間的干涉，為了求得轉換效率，我們也特別設計模態逆運算系統，利用MATLAB最佳化指令幫我們找出個別模態比例組成，對於模擬與實驗數據上的逆運算，我們也做了不同的角度與多重指令細部設定分析，讓量測端實驗數據逆運算上更趨準確。
 In this thesis, we use picosecond laser to fabricate long period Bragg grating on cladding stripped single mode SMF-28 fiber as mode converter for 1064nm. Because of modal interference in the measurement setup, we design the modal simulation using the “fminsearch” command in MATLAB to find modal composition in order to obtain conversion efficiency. In order to achieve better fitting between experiment and simulation, we rotate experimental data and optimize the parameters in “fminsearch” in our analysis. We are able to obtain the precise modal composition.
 口試合格證明書...........................................I中文摘要................................................IIAbstract...............................................III致謝....................................................IV目錄....................................................V圖目錄..................................................VII第一章 緒論..............................................1第二章 理論推導...........................................22.1 光纖色散方程式數學推導..................................22.2光纖色散方程式模擬圖.....................................72.3 模態耦合理論..........................................82.4 模態逆運算系統概念.....................................14第三章 LPBG加工與量測架構.................................173.1 雷射加工選用光纖......................................173.2 LPBG元件加工製作......................................203.3 M平方參數測量.........................................233.4 量測端系統架構........................................263.5 量測系統放大倍率......................................29第四章 結果與討論........................................324.1 模態逆運算系統........................................324.2 波長633nm下實驗數據逆運算..............................384.3 波長1012nm下實驗數據逆運算.............................51第五章 結論.............................................65參考文獻.................................................66
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