微波介電共振器，具有高介電常數，低溫度飄移係數及高品質因數等特性，極適合應用於微波類比電路元件。本論文主要在於研發應用於微波類比電路中之共振器及濾波器，並將論文分成兩大研究方向：
一、 微波介電陶瓷之研發及備製：
(a) 利用CuO, ZnO 和V2O5 等不同的參雜物質來達到液相燒結的效果，並達到降低ReAlO3燒結溫度的目的。SmAlO3 和 NdAlO3 兩組材料系統經過添加燒結促進劑後可將燒結溫度從1650℃ 降到1410℃~1430℃。SmAlO3 再添加0.25 wt/% CuO 且燒結溫度微1430℃ 時，Q×f 可達到 51000 GHz。在加入0.25 wt/%ZnO且燒結溫度微1430℃ 時Q×f 可達到41000 GHz。ReAlO3系統在添加促進劑後其介電常數為19.6~22.5。頻率飄移係數為 －30 ~ －65 ppm/℃。
(b) 利用tungsten-bronze-type structure此種微架構之結構式，來研究、改良和探討 Ba2-xSm4+2x/3Ti8+yO24+2y材料系統之微波特性。當y 值固定為 1，x 值為 0.0~0.3時，其Q×f 值為9000~11000，介電常數值為75~80，頻率飄移係數為 ~0ppm/℃。當x值固定為 0.1，y = 0~2時，BST 系統之Q×f 值為 8500~13000，介電常數值為63~85，頻率飄移係數為－12 ~17 ppm/℃。
二、 微波介電陶瓷濾波器之設計及製作：
(a)本研究以BST 材料系統為原始材料，設計、分析並研製了適用於UHF和L頻帶的同軸型介電濾波器，其中包含了前段設計的基本考量，中段製程觀念、和後段的成型及測試。

Due to the development in mobile communication, mobile telephone systems, as well as in satellite broadcasting systems was rapidly, how to design the high-quality devices applied in analog circuit is the most important homework. There are two primary branches in this research. One part is to develop the dielectric ceramic systems that exhibit great dielectric properties. The other part is to design and realize the coaxial-type dielectric filters.

1.Study and fabrications of microwave dielectric resonators
(a) The effect of CuO, ZnO and V2O5 additions to ReAlO3 (Re=Sm and Nd) were investigated. The sintering temperatures of ReAlO3 ceramics can be effectively reduced from 1650℃ to 1410~1430℃ due to the liquid-phase sintering effect. At low concentration levels (0.25-0.5 wt％), the ReAlO3 ceramics remained in the single phase and presented second phase Sm4Al2O9 and Nd4Al2O9 on SmAlO3 and NdAlO3, respectively with concentrations over 0.5 wt%. The Q×f values of 51000 and 41000 GHz was obtained at 1430℃ for 0.25 wt% CuO and ZnO-sintered SmAlO3 ceramics. The Q×f value of 63000 GHz was achieved at 1410~1430℃for 0.25 wt% CuO-sintered NdAlO3. The relative dielectric constant of ReAlO3 remains in the range from 19.6 to 22.5. The temperature coefficient of ReAlO3 ceramics depends on the additions and ranges from –30 to -65 ppm/℃.
(b) The microwave dielectric properties and microstructure of Ba2-xSm4+2x/3Ti8+yO24+2y were investigated. The typical dielectric performances of εr = 68 to 79 and Q×f = 11000 to 12500GHz were obtained in well-sintered Ba2-xSm4+2x/3Ti9O26 ceramics. The τf values of Ba2-xSm4+2x/3Ti9O26 ceramics was adjusted from negative (－3ppm/℃ for x = 0) to positive ( + 6ppm/℃ for x = 0.3). The Ba2-xSm4+2x/3Ti8+yO24+2y ceramics with x = 0.1~0.3 and y = 0~2 formed the complete solid solution and were obtained in this reach. The typical dielectric performances of εr = 63 to 85 and Q×f = 8500 to 13000GHz were obtained. The τf values of the BST ceramics can be adjusted from a negative –12 ppm/℃ value to a positive value 17 ppm/℃ as y increases from 0 to 2. Second phases Ba2Ti9O2 and TiO2 appeared during sintering procedures and were identified. Not only dielectric constant, but also Q×f values are dependent on the densification of BST ceramics.
2. Design and construction of microwave ceramics dielectric filters
Microwave dielectric properties of Ba(2-x)Sm(4+2x/3)Ti9O26 system (BST)(0.0≦x≦0.3 ) and design procedures of microwave coaxial dielectric bandpass filter have been investigated in this work. Dielectric coaxial resonators with excellent dielectric properties of εr =75～80, Q×f value =11000 and great temperature stability at the resonant frequency. ( = ~ 0 ppm/℃)were used. Microwave badnpass filters for mobile communication system were constructed by using such coaxial resonators. Both air-gap coupling and direct coupling methods were applied as the coupling instruments in the transformation of electromagnetic energy. Comb-line theory was used to adjust the response of filters. The resonant frequency of each resonator, coupling coefficients between adjacent resonators, and external quality factor were adjusted to achieve the target specifications. The measured responses were in excellent agreement with the expected results.

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