時域有限差分(Finite-Difference Time Domain)是一全波分析法，若可以在FDTD的模擬結構中加入電路的元件，就可以拓展FDTD的模擬能力，而傳統的集總元件法所能模擬的元件已不夠了，而本論文利用等效電源法拓展FDTD能模擬複雜的非線性電路源件，如主動元件，其功能就像FDTD與SPICE結合，而此方法功能強但卻不費時。我們利用等效電源法模擬微波電路有很好的準確性，且分析CMOS在傳輸線下的串音(Crosstalk)現象，從中得知為驅動負載而加大CMOS的驅動電流，會增加干擾現象，而耦合線上的負載會因為阻抗匹配的關析而影響干擾的雜訊，本論文最後把等效電源法改為跨壓式等效電源法可以減低因等效電源法的結構所產生的寄生效應問題。

FDTD is an electromagnetic field computation method with the ability of considering circuit elements. Traditional lump element method is insufficient for simulating circuit. In this thesis, we use equivalent source method to combine non-linear circuit elements like active devices into the FDTD simulation. The advantages of this is powerful and time-saving. The accuracy of this method is checked of transmission line driving by CMOS circuits. By employing this method, we find that it will increase EMI phenomenon by strengthening current of driving load, and the load of coupling line will affect noise due to impedance mismatch.

第一章 序論--------------- 1
1.1 概述------ ---------1
1.2 論文大綱----------- 2

第二章 FDTD基本原理------- 3
2.1 YEE的FDTD演算法--- 3
2.2 穩定準則-------------- 6
2.3 吸收邊界-------------- 6
2.3.1 Mur一階吸收邊界--- 6

第三章 等效電源法---------- 8
3.1 集總元件的演算法------ 8
3.1.1 電阻-------------- 9
3.1.2 電感-------------- 10
3.1.3 電容-------------- 10
3.1.4 阻抗性電壓源------ 11
3.2 等效電源法-------------12
3.2.1 等效電流源法-------12
3.2.2 等效電壓源法-------14
3.3 牛頓法-----------------18
3.4 應用模擬---------------21
3.4.1 低通濾波器---------21
3.4.2 主動微波電路------ 23
3.4.3 封裝蕭特基二極體-- 25

第四章 傳輸線在CMOS下的串音現象---28
4.1 串音---------------- 28
4.1.1 電感耦合-------- 30
4.1.2 電容耦合---------32
4.2 Inverter之CMOS模擬---35
4.3 兩傳輸線之串音現象-- 39
4.3.1 負載為電阻---- 39
4.3.1 負載為電容---- 42
第五章 跨壓式等效電源法與集總元件的限制-46
5.1 跨壓式等效電源法---46
5.2 集總元件模擬的限制-50

第六章 結論---------------- 54

參考文獻------------------- 55

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