光纖微透鏡與纖核(Fiber Core)的偏心量(Offset)如果高於0.6μm，耦光效率會再降低50%。光纖研磨時的起始接觸點、以及接觸力是影響光纖端面偏心量的重要因素之一，本研究提出以影像輔助的方式尋找光纖與研磨片的起始接觸點，利用前述的方法尋找光纖起始接觸點的再現性為0.3μm。同時本文提出以大變形懸臂樑與座標轉換推算研磨進給量與接觸力的關係的數學模式，同時利用將前述的數學解析數據，與DEFORM模擬和實驗結果進行比對，求出研磨進給量與接觸力呈線性正比關係，數學解析數據與實驗結果誤差小於9%。利用此法所研磨出的光纖端面偏心量位於0.17μm到0.31μm的範圍，並可成功應用於雙變曲率光纖微透鏡的製作，使其耦光效率可高達88%。

The offset between the center lines of the polished end-face and the fiber core has a significant effect on coupling efficiency. When the offset is more than 0.6μm, the transmitted power drops by up to 50%. The initial contact point and the contact force are two of the most important parameters that induce the offset. This study proposes an image assistant method to find the initial contact point and a mathematical model to estimate the contact force when fabricating the double-variable-curvature end-face of single-mode glass fiber. The repeatability of finding the initial contact point via the vision assistant program is 0.3μm. Based on the assumption of a large deflection, a mathematical model is developed to study the relationship between the contact force and the displacement of the lapping film. In order to verify the feasibility of the mathematical model, a testing stand is established. Experiments, as well as DEFORM simulations, are carried out and the results are compared with those from the mathematical model developed in this study. The results show the same tendency, i.e., that the contact forces are proportional almost linearly to the feed amounts of the lapping film and the errors are less than 9%. By using the method developed in this study, the offset between the grinding end-face and the center line of the fiber core is within 0.17 to 0.31μm. This method is successfully applied to fabricate the double-variable-curvature end-face of single-mode glass fiber. The coupling efficiency is up to 88%.

摘 要 ii
Abstract iii
謝　誌 iv
目　錄 v
圖目錄 vii
符號說明 xii
第一章 緒論 1
1.1 研究背景 1
1.2 研究動機 3
1.3 研究目的 11
1.4 論文架構 12
第二章 文獻回顧 15
2.1化學蝕刻法 16
2.2 熔燒抽絲法 20
2.3 雷射微加工(Laser Micromachining) 21
2.4 聚焦離子束(Focus Ion Beam) 23
2.5 研磨法 24
第三章 光纖研磨基本理論 39
3.1光纖磨削理論-Preston Equation 39
3.2 座標轉移矩陣 41
3.3 大變形懸臂樑理論 42
3.4 黃金分割法求解 46
3.5 影像輔助辨識 48
3.5.1 光纖與鏡像邊緣線的線性方程式 52
3.5.2 尋找研磨片的線性方程式 54
3.5.2.1 兩點求取直線法 54
3.5.2.2 角平分線法 55
3.5.3 尋找光纖與鏡像邊緣線的端點 55
3.5.4 求出初始接觸點與位移量 56
第四章 影像輔助研磨設備開發 57
4.1 光纖端面研磨機改良 57
4.1.1 低偏擺研磨盤 59
4.1.2 虛擬中心調整 63
4.1.3 H軸配重 66
4.2 影像擷取系統建置 67
4.2.1 影像CCD 67
4.2.2 CCD固定座與移動平台 69
4.2.3 CCD解析度測試 72
4.3 光纖位移與力量實驗平台 75
第五章 製程參數實驗 78
5.1 光纖起始接觸點重現性實驗 78
5.2 光纖位移與接觸力實驗 82
5.3 橢圓端面研磨與偏心量量測實驗 86
5.4 不同光纖切斷端面傾斜角之研磨實驗 96
5.5 圓錐形端面材料移除率之研磨實驗 106
第六章 結論與建議 111
6.1 結論 111
6.2 未來建議 113
參考文獻 114

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