由於在定點通訊上需要高指向性的輻射，因此本論文設計旋轉90度對稱性的超穎材料單一陣元，利用其折射係數在雙方向趨近於零的特性製成增加增益天線罩，並將其置於圓極化與雙極化天線上以驗證其增加增益之效果。
由於群延遲變化除了會增加通訊系統的訊號錯誤率之外，正群延遲亦會增加通訊的傳播延遲，因此我們研究超穎材料的負群延遲現象。利用分析其等效電路與極點零點的特性，我們設計出創新的負群延遲帶通電路。並且設計出作圖法以及推導出負群延遲與損耗或增益之間的關係，以降低未來在實現負群延遲電路時所需時間。

Owing to the need of high-directivity radiation in fix-point communication, this thesis designs the metamaterial with 4-fold rotational symmetric unitcells. Using their nearing-zero refractive index along two polarizations, we can get gain-enhanced antenna radomes and place them above dual- and circular-polarized antenna to verify our idea.
It is known that the group delay variation in a communication system causes the degradation of symbol error rate, and positive group delay (GD) causes delay in signal propagation. Therefore, this research studies the negative group delay (NGD) behavior of metamaterial. Through analyzing the GD of metamaterial equivalent circuit caused by poles and zeros, we design a novel NGD bandpass circuit. Furthermore, this thesis develops graphic method for group delay investigatiion and study the relationship between NGD, loss and gain in order to simplify the design of GD compensation circuit.

中文摘要 i
英文摘要 ii
目錄 iii
圖表目錄 vi
第一章 緒論 1
1-1 研究動機 1
1-2 論文大綱 1
1-3 研究方法 2
第二章 負相位速度與負群速度介紹 6
2-1 雙負材料特性 6
2-2 人工合成物質 11
2-3 超穎材料應用 17
2-4 單一陣元設計設計準則 19
2-5 負群延遲補償 21
第三章 交叉I形結構 23
3-1 單一陣元設計 23
3-2 交叉I形結構天線罩應用於雙極化天線 27
3-3 交叉I形結構天線罩應用於圓極化天線 32
3-4 心得與小結 34
第四章 交叉S形結構 35
4-1單一陣元設計 35
4-2 交叉S形結構應用天線罩於雙極化天線 36
4-3 交叉S形結構天線罩應用於圓極化天線 38
4-4 心得與小結 41
第五章 超穎材料於負群延遲討論 43
5-1超穎材料負群延遲觀察 43
5-1-1 人工合成材料模擬 43
5-1-2 等效電路模擬 44
5-2 極點與零點對群延遲的影響 45
5-2-1單一極點群延遲變化 45
5-3群延遲作圖法 50
5-4損耗與負群延遲的關係 52
5-5 心得與小結 55
第六章 總結與未來工作 56
6-1 總結 56
6-2 未來工作 56
參考文獻 58
附錄一 多項式定理證明無損網路零點位置 A

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