在本論文中主要分為兩大部分，第一部分將介紹低損耗的介電材料；第二部分將介紹其在被動元件之應用，並實作在不同基板上，用以探討元件尺寸之改善。
第一部分首先介紹MgLa2Zr2O8陶瓷之微波介電特性。接著使用與Mg2+離子半徑相近的Co2+對MgLa2Zr2O8中的Mg2+做取代並探討(Mg1-xCox)La2Zr2O8微波介電特性與材料微結構之影響。由實驗可以得知，該系統之MgLa2Zr2O8在1490℃燒結12小時可獲得最佳介電特性，ε_r ~ 20.87，Q×f ~ 10,3000GHz(at ~8.65GHz)，τf ~ －44.2 ppm/℃；在Co取代量為0.2，(Mg1-xCox)La2Zr2O8燒結溫度降低至1460℃，其ε_r ~ 23.49，Q×f ~ 82,000，τf ~ －42.23ppm/℃。
第二部分我們設計及實作一操作在2.45GHz的微帶線帶通濾波器，濾波器採用方形環狀諧振器為主體，其對稱面上加入一正方形電容性微擾物，以激發奇偶模態的耦合，並在共振頻率的高低頻處產生傳輸零點，透過改變微擾物大小可以調變通帶之頻寬，接著使用line-to-ring coupling的方式饋入以改善插入損耗，再加入一λ/4開路殘段(open-stub)來抑制倍頻響應。最後將此電路實作在FR4、Al2O3及MgLa2Zr2O8自製基板上，並量測其頻率響應。由量測結果可得知，利用高介電系數及低耗損材料作為電路基板時，確實能達到提升效能及縮小面積的需求。

First, the microwave dielectric properties and microstructure of MgLa2Zr2O8 ceramics have been investigated. The experimental results show that MgLa2Zr2O8 has the best properties at sintering temperature 1490℃ for 12 hours, with ε_r~20.87, Q×f~ 10,3000GHz(at 8.65GHz), and τf ~－44.23ppm/℃. Then the Mg2+ from the MgLa2Zr2O8 had been substituted by Co2+, at x = 0.2, the sintering temperature is lowered to 1460℃, with ε_r~23.49, Q×f~82,0000, τf ~－42.21 ppm/℃.Second, a dual-mode square ring line-to-ring band-pass filter that operates at 2.45GHz was designed and fabricated. The bandwidth of the passband can be modulated by changing the perturbation size. In order to suppress spurious response, an open-stub was attached to the feed line. Finally, the pattern was implemented on FR4, Al2O3 and MgLa2Zr2O8 substrates. The measurement results show using the substrates with high dielectric constant and low loss can improve the performance and reduce filter size.

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