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姓名 卓伯翰(PO-HAN CHO) 查詢紙本館藏 畢業系所 電機工程學系 論文名稱 圓柱形PN 接面之電場幾何模型推導與模擬驗證
(Geometric Model and Simulation Verification of Cylindrical PN Junction for Electric Field Characteristics)相關論文 檔案 [Endnote RIS 格式]
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摘要(中) 在本篇論文中,我們將採用簡單的幾何模型來推導圓柱形接面的電場解析公式,並運用開發的等效梯形模組,去模擬圓柱形接面之特性現象。而其中每個梯形等效電路,是由兩個三角形模組所組。接著藉由這些推導出的解析公式與模擬出的特性圖中,我們可以觀察並體會到圓柱形接面之電場特性與一些細部的現象呈現。另外也使得我們對於平面接面與圓柱接面有了更多的體認,而其中值得注意的是平面接面的電場為現性增加,而圓柱接面的電場為超線性增加,且在兩者內建電壓相同之情況下,超線性增加的圓柱接面會得到較高的最大電場值,也導致其崩潰電壓較低。 摘要(英) In this thesis, we will use a simple geometric model to derive the analytic formulas of electric field and use the developed trapezoidal module to simulate the characteristics for cylindrical PN junction. The equivalent circuit of each trapezoid is composed of two triangular modules. Through these analytic formulas and simulated characteristic results, we can observe the characteristics of electric field and some detailed phenomena. In addition, we also have more understanding of the plane junction and the cylindrical junction. It is worth noting that the electric field of the plane junction is linear and the electric field of the cylindrical junction is superlinear. Since the built-in voltages of the two are the same, the cylindrical junction has a larger maximum electric field, which also results in a lower breakdown voltage. 關鍵字(中) ★ 圓柱接面
★ 電場特性
★ 幾何模型關鍵字(英) ★ Cylindrical
★ Electric Field Characteristics
★ Geometric Model論文目次 摘要......................................................................i
Abstract..................................................................ii
目錄....................................................................iii
圖目錄...................................................................iv
表目錄...................................................................vi
第一章 簡介.........................................................1
第二章 圓柱形接面之理論物理與公式解析...............................4
2-1 半徑與接面電場之關係介紹.............................................4
2-2 PN 二極體之理論公式推導..............................................7
2-3 圓柱形PN 接面之理論電場解析公式推導..................................9
第三章 圓柱形PN 接面之二維電腦數值模擬驗證........................15
3-1 梯形網格解析與電阻驗證..............................................15
3-2 PN 二極體之特性模擬驗證.............................................19
3-3 二維圓柱形半導體架構之程式驗證......................................23
第四章 圓柱形半導體之延伸應用與觀念比較............................27
4-1 平面型與圓柱型P+N 接面之特性比較....................................27
4-2 圓柱形P+N 接面電場之參數影響........................................32
4-3 曲率與接面電場之關係探討............................................39
第五章 結論........................................................43
參考文獻.................................................................44參考文獻 [1] T. H. Lin,“Curvature Analytical Model of 2D PN Diode,” M. S. Thesis, Institute of EE,
Nation Central University, Taiwan, Republic of China, 2013.
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[3] C. L. Wang,“Theoretical Analysis and Simulation of Cylindrical PN Diode for Breakdown
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[6] J. He, et al.,“Equivalent function transformation: a semi‐empirical analytical Method for
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[7] D. V. Speeney, G. P. Carey, “Experimental Study of The Effect of Junction Curvature on
Breakdown Voltage in Si,” Solid State Electronics, Vol 10, p177-182, 1967.
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[15] L. Giraud, A. Marrocco, and J. C. Rioual, “Iterative versus direct parallel substructuring
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pp. 391-414, 2000.指導教授 蔡曜聰(Yao-Tsung Tsai) 審核日期 2019-6-28 推文 plurk
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