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研究生: 林宗佐
Zong-zuo Lin
論文名稱: 鈍角三角形模組開發與二維半導體元件模擬
Development of Obtuse triangle element and its applications to 2D Semiconductor device
指導教授: 蔡曜聰
Yao-tsung Tsai
口試委員:
學位類別: 碩士
Master
系所名稱: 資訊電機學院 - 電機工程學系
Department of Electrical Engineering
論文出版年: 2015
畢業學年度: 103
語文別: 中文
論文頁數: 59
中文關鍵詞: 鈍角三角形鈍角三角形半導體二維
外文關鍵詞: obtuse triangle, obtuse, triangle, semiconductor, two dimensional
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  • 在這篇論文中,我們藉由以前對於鈍角三角形的網格算法,去探討之前計算方法所造成的誤差,進而使用二段式封閉面及三段式封閉面改良網格的算法。為了能夠知道新的網格算法是否能夠更精準的矯正誤差值。我們進行數學驗算並且利用程式寫出鈍角三角形網格進行模擬。利用兩種方式去進行驗證,讓我們可以確保演算上沒有誤差,再將二段式封閉面及三段式封閉面所算出的結果與理論值做比較。


    In this thesis, we developed obtuse triangle mesh for 2D numerical semiconductor device simulation. In the past, the resistance error percentage caused by the old calculation method was larger than expected, so two methods have been developed for the obtuse triangle. One is the two-plane method, and the other is the three-plane method. The methods mentioned above are all verified by math formulas and program.

    目錄 摘要................................................i Abstract...........................................ii 目錄...............................................iii 圖目錄..............................................iv 表目錄..............................................vii 第一章 簡介.........................................1 第二章 Block by Block封閉面的關係....................3 2-1. 介紹各種網格的封閉面...........................3 2-2. 外心內移法之鈍角三角形.........................5 2-3. 封閉面與中點關係..............................15 第三章 二段式封閉面之鈍角三角形網格....................17 3-1. 網格架構定義..................................17 3-2. 等效電阻推導..................................24 3-3. 程式驗證......................................30 第四章 三段式封閉面之鈍角三角形........................32 4-1. 網格架構定義...................................32 4-2. 等效電阻推導...................................38 4-3. 程式驗證.......................................45 第五章 結論..........................................46 參考文獻................................................47

    [1] S.H Huang,“Analysis and Simulation of Semiconductor Devices by Triangular and Trapezoidal Meshes in Cylindrical Coordinate”, M.S. Thesis, Institute of EE, National Central University, Taiwan, Republic of China, June. 2013.

    [2] M.J Zeng,“Development of Triangular element and its applications to
    arbitrary 2D Semiconductor device”, M.S. Thesis, Institute of EE,
    National Central University, Taiwan, Republic of China, June. 2014.

    [3] G.f. Wu,“2D Semiconductor Device Simulation with Right Rectangle and Triangle Elements”, M.S. Thesis, Institute of EE, National Central University, Taiwan, Republic of China, June. 2014.

    [4] D. A. Neamen,“Semiconductor physics and devices: Basic Principles, 4th
    ed.”,McGraw-Hill , 2012.

    [5] S.M. Sze and K.K Ng,“Physics of semiconductor devices, 3rd ed.”
    ,Wiley-Interscience, 2007

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