在這篇論文中主要介紹兩大部分，第一部份將介紹基本原理及低損耗(Q＞5,000)的介電材料，並探討其在更換一種元素下之微波介電特性；第二部份將介紹其在被動元件之原理與應用，並實作於不同基板上探討元件尺寸的改善。
　　第一部份首先要介紹ZnZrNb2O8、MgZrNb2O8陶瓷系統之微波介電特性。研究其材料特性及微波介電性質。由實驗中可得知ZnZrNb2O8在1410℃燒結4小時可得到 最佳之介電特性εr~ 24.7，Q׃~ 42,900 GHz (at 7.88 GHz)，τf ~ –78.9 ppm/℃。MgZrNb2O8在1350℃燒結4小時可得到最佳之介電特性 εr~ 26.1，Q׃~ 100,500 GHz (at 7.85 GHz)，τf ~ –60.5 ppm/℃。
　　第二部份根據濾波器的設計原理，利用基本的電場耦合微帶線結構並加入SLR結構的諧振器及四分之一Open-stub，設計一雙頻(2.45/5.2 GHz)帶通濾波器。由於止帶中產生四個傳輸零點，可有效改善濾波器的頻率響應，因為主要目的在使此雙頻帶通濾波器操作在WLAN通訊系統。最後，我們將此電路實作在FR4、Al2O3和MgZrNb2O8基板上，並量測其頻率響應。由量測的結果可得知，利用高介電係數及低損耗的材料做為電路基板時，確實能有效提升效能和縮小面積。

There are two main subjects in this thesis. we will introduce basic principle and the low loss of dielectric material (Q＞5,000), and try to discuss the microwave dielectric properties with different atom. Second, there will be a discussion of passive components and principle, improvement of circuit size in different substrates.
　　First, the microwave dielectric properties of ZnZrNb2O8、MgZrNb2O8 ceramic system have been investigated. The experiment results show that ZnZrNb2O8 ceramics has the best properties at sintering temperature 1410℃ for 4 hours, which could reach the best dielectric properties εr ~ 24.7, Q×f ~ 42,900 (at 7.88 GHz) and τf ~ –78.9 ppm/℃. MgZrNb2O8 ceramics has the best properties at sintering temperature 1350℃ for 4 hours, which could reach the best dielectric properties εr~ 26.1, Q×f ~ 100,500 (at 7.85 GHz) and τf ~ –60.5 ppm/℃.
　　Second, according to the design principles of the filter, the use of electrically coupled microstrip line structure combined with an SLR-structure of the resonator and a quarter of open-stub resonator design a dual-band (2.45/5.2 GHz) band-pass filter with four transmission zeros generated in the stop-bands to modify the response of the filter. The dual-band bandpass filter was suitable for the applications in the WLAN communication system.Finally, the pattern was printed on FR4, Al2O3 and MgZrNb2O8 substrates. By measured their frequency responses, using the substrates of high dielectric constant and low loss, which can improve the performance and reduce filter’s size.

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