臺灣博碩士論文加值系統

本論文的研究目的在於利用特性方法(method of characteristics，MOC)進行二維電磁數值模擬電磁脈衝通過不同直金屬導線陣列的情況，並觀察金屬導線上的感應電流、探討金屬導線陣列對電磁場傳播的影響。本研究所使用的數值方法為特性方法，特性方法提供Maxwell方程式的數值近似解；所使用的直金屬導線為完全導體，具有表面上的電場強度永遠為零的電磁特性；不同的直金屬導線陣列在結構上的差異在於直金屬導線間的距離。本研究模擬數值結果的展示包括各類不同陣列結構的電場強度與磁場強度分佈圖、比較不同陣列結構的直金屬導線上感應電流的時間函數圖。

The main purpose of this research is to apply the method of characteristics (MOC) to the numerical simulation of the electromagnetic (EM) scattering problems from array of straight metal wires, observe the induced currents on the surface of the PEC wire with square cross-section, and study the effects of metal wire array on the propagation of EM fields. The numerical method used in the present study is MOC which produces direct solutions of the Maxwell’s equations. Metal wires used in the numerical model are assumed to be made of perfectly electric conducting materials having the electromagnetic property that on the surface magnitude of the electric field intensities are always vanished. The difference among different structures of arrays of metal wires is the distance between metal wires. The demonstration of the computational results includes the distributions of the magnetic field intensities and the electric field intensity over the whole numerical domain, the induced currents on metal wires for different array structures.

摘要 ........ I
ABSTRACT ........ II
誌謝 ........ III
目錄 ........ IV
圖目錄 ........ V

第一章　緒言 ........ 1
1.1 數值模擬是什麼 ........ 2
1.2 數值模擬優於傳統方法 ........ 2
1.3 數值模擬的實用性 ........ 4
1.4 模擬技術 ........ 4
1.5 值模擬分析 ........ 5
1.6 模擬工作全球化 ........ 6
1.7 電磁問題模擬工作 ........ 7

第二章　控制方程、數值方法與邊界條件 ........ 9
2.1 MAXWELL方程組 ........ 9
2.2 直角坐標系的MAXWELL方程組 ........ 12
2.3 MAXWELL方程組的曲線坐標系轉換 ........ 14
2.4 簡化MAXWELL方程組 ........ 17
2.5 數值化MAXWELL方程組 ........ 18
2.6 邊界條件 ........ 19

第三章　定義問題 ........ 22
3.1 直金屬導線陣列的結構 ........ 22
3.2 入射電磁脈衝 ........ 23
3.3 網格系統 ........ 27
3.4 取樣點的設定 ........ 28

第四章　模擬結果 ........ 30
4.1 電磁場強度的分佈圖 ........ 30
4.2 不同陣列結構金屬導線上的感應電流 ........ 32

第五章　結論 ........ 38

文獻 ........ 39

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