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研究生: 陳建志
Chen, Chien-chih
論文名稱: 運用快速光譜相關法於多光束干涉系統以量測薄膜厚度與折射率
Using Fast Spectral Correlation Method to Measure Thin Film Thickness and Refractive Index in Multiple Beam Interferometry
指導教授: 陳元方
Chen, Terry 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: 2009
畢業學年度: 97
語文別: 中文
論文頁數: 74
中文關鍵詞: 快速光譜相關法薄膜厚度多光束干涉多層膜矩陣法等色階條紋
外文關鍵詞: Fast spectral correlation method, Multilayer matrix method, multiple beam interferometry, Thickness of thin film, Fringe of equal chromatic order
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  • 本文主要目的為運用快速光譜相關法建立一計算程式以分析多光束干涉所產生之等色階條紋。對稱式三層公式僅限用於對稱式三層多光束干涉架構,且薄膜厚度量測範圍限制於200nm以下;若使用快速光譜相關法則無上述之限制。
    研究中以多層膜矩陣法模擬對稱式三層及非對稱式干涉下之等色階條紋,並利用快速光譜相關法分析可得在此兩種干涉子下其平均誤差百分比皆小於1%;另一方面,亦架設出對稱式三層及非對稱式干涉之實驗架構並根據實驗所得之等色階條紋來討論此兩種實驗之差異性,以拓展表面力分析儀之分析能力。

    In this article, the main purpose is to establish a program based on fast spectral correlation method which can analyze the fringe of equal chromatic order (FECO) in multiple beam interferometry. The symmetrical three-layer formula only can be used in symmetrical three-layer multiple beam interferometry and have a limit of measurability of thin film thickness with 200nm. Fast spectral correlation method has no measurement restriction of thin film thickness and can be used in asymmetrical or symmetrical multi-layer interferometry.
    In the research, I used fast spectral correlation method to analyze the simulated FECO images of symmetrical three-layer and asymmetrical types which is based on multilayer matrix method, and had an average error percentage less than 1% in analysis. On the other hand, I set up symmetrical three-layer and asymmetrical interferometry and compare the diversity according to the experimental FECO images. Finally, let the results in this article extend the measurement capability of the surface force apparatus.

    摘要.......................................................I Abstract..................................................II 誌謝.....................................................III 目錄......................................................IV 圖目錄....................................................VII 表目錄.....................................................IX 第一章 緒論.................................................1 1-1 研究背景與目的.........................................1 1-2 文獻回顧..............................................3 1-3 本文架構..............................................7 第二章 基本理論..............................................8 2-1 多光束干涉系統.........................................8 2-2 多層膜矩陣法..........................................10 2-3 快速光譜相關法........................................14 2-4 峰值判定.............................................17 第三章 條紋模擬及分析程序.....................................20 3-1 等色階條紋模擬........................................20 3-2 影像處理.............................................24 3-2-1 中值濾波..........................................24 3-2-2 中值濾波遮罩大小之選擇...............................25 3-3 FECO影像水平方向畫素位置對應波長之校正....................27 3-4 快速光譜相關法的分析程序................................28 3-5 模擬條紋之分析結果.....................................32 第四章 實驗裝置與程序........................................36 4-1 實驗系統介紹..........................................36 4-1-1 光源照射系統.......................................37 4-1-2 多光束干涉系統.....................................37 4-1-3 影像擷取系統.......................................39 4-2 實驗程序.............................................40 4-2-1 雲母片製作........................................40 4-2-2 對稱式干涉系統之製作................................43 4-2-3 非對稱式干涉系統之製作...............................44 4-2-4 干涉系統校正.......................................45 第五章 實驗結果與討論........................................46 5-1 對稱式三層干涉實驗之量測結果.............................46 5-2 非對稱式干涉實驗之量測結果..............................49 第六章 結論與建議............................................53 6-1 結論................................................53 6-2 建議................................................54 參考文獻...................................................55 附錄A 多層膜矩陣法其特徵矩陣與光強穿透率之推導....................59 附錄B Mirau干涉儀於薄膜厚度之量測.............................71

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