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研究生: 楊韶綸
Yang, Shao-lun
論文名稱: 條紋反射法之向量解析與應用
The vector analysis and the application of fringe reflection method
指導教授: 陳元方
Chen, Yuan-Fang
學位類別: 碩士
Master
系所名稱: 工學院 - 機械工程學系
Department of Mechanical Engineering
論文出版年: 2007
畢業學年度: 95
語文別: 中文
論文頁數: 101
中文關鍵詞: 形貌量測高反射性表面條紋反射法
外文關鍵詞: Contour measurement, High reflection surface, Fringe reflection method
相關次數: 點閱:95下載:6
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  • 本研究主要目的是建構出一套以條紋反射法為基礎之高反射性表面形貌量測系統,並提出向量解析的觀點重新檢視條紋反射法,以降低量測系統誤差。

    首先介紹條紋反射法原始理論推導 (以下簡稱幾何解析)與向量解析推導 (以下簡稱向量解析),並設計一實驗來驗證向量解析之正確性。接著利用模擬方法比較幾何解析與向量解析,整理後進行誤差分析。最後使用向量解析結果並結合相位移法、相位展開法、相位遮罩法、臨界值法…等方法構築出光學量測系統,再利用此系統實際量測晶圓試件。在精確度方面,經由高精度表面粗度儀ET3000驗證比對後可得知吾人建立之表面形貌量測儀平均誤差在0.7μm以內,最大誤差在1.4μm以內。

    In this paper, the major purpose is to set up a high reflection surface measurement system with fringe reflection method and to perform fringe reflection method by making use of vector analysis.
    First,we introduce the primitive theory (“geometry method” for short)and the vector analysis theory (“vector method” for short) for fringe reflection method, and devise an experiment to verify vector method. Then, we compare geometry method with vector method by simulated method and assay the error. Finally, we establish optical measurement system by vector method , phase shift method, phase unwrap method…etc. , then we measure the wafer’s profile by our system.
    About the accuracy of our system, by comparing with the surface roughness measuring instrument ET3000, the average error is under 0.7 μm, the maximum error is under 1.4μm.

    中文摘要--------------------------------------------------1 英文摘要--------------------------------------------------2 致謝------------------------------------------------------3 目錄------------------------------------------------------4 圖目錄----------------------------------------------------7 表目錄---------------------------------------------------10 符號說明-------------------------------------------------11 1 緒論 1.1 研究背景---------------------------------------------13 1.2 研究目的---------------------------------------------15 1.3 文獻回顧---------------------------------------------16 1.4 本文架構---------------------------------------------19 2 條紋反射法之原理 2.1 條紋反射法之原理-------------------------------------20 2.2 條紋反射法-幾何解析----------------------------------23 2.2.1 縱向條紋偏移公式-----------------------------------23 2.2.2 橫向條紋偏移公式-----------------------------------28 2.3 條紋反射法-向量解析----------------------------------34 2.3.1 向量旋轉轉換矩陣-----------------------------------34 2.3.2 反射向量轉換矩陣-----------------------------------38 2.3.3 條紋偏移公式---------------------------------------40 2.3.4 條紋偏移轉換斜率公式-------------------------------47 2.4 幾何解析與向量解析之比較-----------------------------52 2.5 架設參數之誤差分析-----------------------------------55 2.5.1 CCD觀測角 引起之誤差-------------------------------55 2.5.2 高度差h引起之誤差分析------------------------------58 3 反射條紋圖像分析 3.1 相位移法---------------------------------------------61 3.2 相位展開法-------------------------------------------63 3.3 判定量測區域的方法-----------------------------------64 3.3.1 相位遮罩法-----------------------------------------64 3.3.2 臨界值法-------------------------------------------66 3.4 中值濾波---------------------------------------------69 4 實驗裝置、量測試件與實驗步驟 4.1 實驗裝置介紹-----------------------------------------70 4.2 量測試件介紹-----------------------------------------74 4.3 實驗步驟---------------------------------------------75 4.3.1 驗證向量解析之實驗步驟-----------------------------75 4.3.2 應用條紋反射法之實驗步驟---------------------------77 5 實驗結果 5.1 向量解析之驗證---------------------------------------81 5.2 應用條紋反射法之實驗結果-----------------------------85 6 結論與建議 6.1結論--------------------------------------------------96 6.2建議--------------------------------------------------97 參考文獻-------------------------------------------------98 自述----------------------------------------------------101

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