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研究生: 黃漢盛
Huang, Han-sheng
論文名稱: 快速熱處理中加熱燈功率調整之研究
Control of Heating Lamps in Rapid Thermal Process
指導教授: 王振源
Wang, Chen-yuen
學位類別: 碩士
Master
系所名稱: 工學院 - 航空太空工程學系
Department of Aeronautics & Astronautics
論文出版年: 2007
畢業學年度: 95
語文別: 中文
論文頁數: 90
中文關鍵詞: 加熱燈最小平方法基因演算法快速熱處理
外文關鍵詞: Genetic Algorithm, RTP, heating lamps, least-squared errors method
相關次數: 點閱:120下載:4
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  • 本研究以數值方法探討快速熱處理機台內的加熱過程,模擬直徑300厘米之晶圓快速加熱10秒由300K升溫到1300K和10秒後維持定溫度的加工過程,在整個加熱過程中有許多因素使得晶圓表面溫度分佈不均勻,分別使用三環和六環之加熱燈環對晶圓加熱,分析不同數目之加熱燈對晶圓表面溫度分佈的影響,由於三環加熱燈之間的空隙過大,造成晶圓表面徑向溫度落差明顯太大,而使用六環加熱燈則能大幅改善溫度不均勻的情況。此外通入的氣體也對晶圓表面有些許熱對流作用,也是造成溫差的原因,而藉著晶圓旋轉使得腔體內部氣體跟著流動,可以使晶圓表面所受到的氣體熱對流效應均勻化,而來改善晶圓表面溫差。

    最後,分別使用最小平方誤差法和基因演算法來計算下一步功率,藉由所計算出之功率來對加熱燈作調整,由於使用最小平方誤差法的調整方式有可能得到局部解,倘若要避免發生此種現象,則必需擴大搜尋範圍而造成計算時間的大幅增加。相對地,使用基因演算法便得用較少的時計算時間,求得我們所需要的全域最佳加熱燈功率組合,且由結果可發現基因演算法能有效地改善最小平方誤差法的缺點。

    In this thesis, the heating process of 300 mm silicon wafer in the RTP chamber are studied numerically.
    During the process, the wafer is heated by lamps from room temperature to the designated process temperature rapidly and maintain at that temperature thereafter.

    The effects of three-rings and six-rings heating lamps on the temperature uniformity of the wafer are studied.
    It is found that three-rings heating lamps lead to large wafer temperature variation due to the wide gap between two rings.
    Least-squared errors method and Genetic Algorithm are employed to control the powers of heating lamps.
    It is found that least-squared errors method may lead to local optimal combination of heating powers.
    If we increase the range searching the global optimum to improve this problem, it'll spend too much time to calculate.
    It's found that using Genetic Algorithm to control the powers of heating lamps can save more time searching the global optimum.

    致謝 i 中文摘要 ii 英文摘要 iii 表目錄 vii 圖目錄 ix 符號表 xiii 1 導論 1 1.1 簡介.........................................1 1.2 文獻回顧.....................................2 1.3 本文概述.....................................4 2 數學與物理模式 5 2.1 基本假設.....................................5 2.2 統御方程式...................................6 2.2.1 連續方程式.............................6 2.2.2 動量方程式.............................7 2.2.3 能量方程式.............................8 2.2.4 初始條件和邊界條件.....................8 2.2.5 加熱環放射溫度與功率之間的關係式......10 2.3 功率調整方式................................11 2.3.1 最小平方誤差調整法....................11 2.3.2 基因演算法調整功率....................17 3 數值方法 21 3.1 數值演算法..................................21 3.2 共軛熱傳....................................22 3.3 格點分佈....................................23 3.4 收斂標準....................................24 3.5 格點測試....................................24 4 結果與討論 26 4.1 燈環數目的影響..............................26 4.2 通入氣體對晶圓溫度的影響....................27 4.3 晶圓旋轉對晶圓表面溫度的影響................28 4.4 使用最小平方誤差法調整功率..................29 4.5 加入計算二次反射能量........................31 4.6 使用基因演算法調整功率......................32 5 結論與未來工作 34 5.1 結論........................................34 5.2 未來工作....................................35 參考文獻 36

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