臺灣博碩士論文加值系統

本篇論文主要分別介紹兩大部分，第一部分將介紹新開發的低損耗微波介電材料；第二部分將設計一濾波器，實作於不同基板上後探討其微波特性。
第一部分首先介紹BaCo2(VO4)2陶瓷之微波介電特性，接著使用與Co2+ (0.745Å)離子半徑相近的Mg2+(0.72Å)對BaCo2(VO4)2中的Co2+做取代，並探討Ba(Co1-xMgx) 2(VO4)2 (x = 0–0.8)的微波介電特性與材料微結構。由實驗得知，當取代比例為x = 0.6，且燒結溫度在840oC時有良好的微波介電特性，εr ~12.3, Q×f~71,000 GHz, τf ~ –40.6 ppm/°C，是符合LTCC共燒溫度的材料。
第二部分將設計一操作在2.4/5.2GHz的雙頻帶通濾波器。濾波器採用方形環狀諧振器為主體，為縮小面積，將其改成增強型彎曲環狀諧振器，並在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，接著使用line-to-ring coupling的方式饋入以改善插入損耗。最後，我們將電路實作在FR4、Al2O3、Ba(Co0.6 Mg 0.4)2(VO4)2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，確實能達到提升效能和縮小面積的需求。

In order to obtain a novel low-temperature co-fired ceramics (LTCC), the microwave dielectric properties of Ba(Co1-x Mg x)2(VO4)2 (x = 0–0.8) ceramics had been investigated. The experimental results show that BaCo2(VO4)2 has the best properties at sintering temperature 690℃ for 4 hours, with ε_r~14.1, Q×f~ 43,600 GHz, and τf ~－43 ppm/℃. Then the Co2+ from the BaCo2(VO4)2 had been substituted by Mg2+, at x = 0.6, where the ε_r~12.3, Q×f~71,000, τf ~－40.6 ppm/℃at the sintering temperature of 840℃ for 4 hours. Then, we designed and fabricated a bandpass filter on FR4、Al2O3、Ba(Co0.6 Mg 0.4) 2(VO4)2 substrates. According to the results of measurements, the performance of the filter was improved by using low-loss dielectric ceramics as the substrate.

摘要 I
Extended Abstract II
誌謝 VII
目錄 VIII
圖目錄 XII
表目錄 XVI
第一章 緒論 1
1-1 前言 1
1-2 研究目的 2
第二章 文獻回顧 3
2-1 材料的燒結 3
2-1-1 材料燒結之擴散方式 3
2-1-2 材料燒結之過程 4
2-1-3 燒結的種類(固相、液相) 5
2-2 介電共振器原理(Dielectric Resonator：DR) 6
2-3 微波介電材料之特性 10
2-3-1 介電係數(Dielectric Constant：εr) 10
2-3-2 品質因數(Quality Factor：Q) 13
2-3-3 共振頻率溫度飄移係數(τf) 16
2-4 正方晶系(Tetragonal System) 17
2-5 拉曼光譜與分子振動模態簡介 18
2-5-1 拉曼光譜(Raman Spectra) 18
2-5-2 分子的振動模態 18
2-6 低溫共燒陶瓷技術(Low Temperature Co-fired Ceramics) 19
第三章 微帶線及濾波器原理 20
3-1 濾波器原理 20
3-1-1濾波器的簡介 20
3-1-2濾波器之種類及其頻率響應 21
3-2 微帶線原理 25
3-2-1 微帶傳輸線的簡介 25
3-2-2 微帶線的傳輸模態 25
3-2-3 微帶線各項參數公式計算及考量 26
3-2-4 微帶線的不連續效應 29
3-2-5 微帶線的損失 36
3-3 微帶線諧振器種類 37
3-3-1 λ/4短路微帶線共振器 38
3-3-2 λ/2開路微帶線共振器 39
3-4 共振器間的耦合形式 41
3-4-1 電場耦合 41
3-4-2 磁場耦合 44
3-4-3 混和耦合 48
3-5 環狀諧振器[26] 51
3-5-1 環狀諧振器的頻率模態 51
3-5-2 環狀諧振器的輸入阻抗 53
3-5-3微擾(Perturbation) 55
3-5-4 Line-to-ring Coupling[32] 57
3-6雙模態 Line-to-ring Coupling環狀帶通濾波器 59
第四章 實驗程序與量測方法 63
4-1 微波介電材料的製備 63
4-1-1 粉末的製備與球磨 64
4-1-2 粉末的煆燒 64
4-1-3 加入黏劑、過篩 64
4-1-4 壓模成型、去黏劑及燒結 65
4-2 微波介電材料的量測與分析 66
4-2-1 密度測量 66
4-2-2 X-Ray分析 66
4-2-3 SEM分析 67
4-2-4 拉曼光譜分析 67
4-2-5 介電特性量測與分析 68
4-2-6 共振頻率溫度飄移係數之量測 74
4-2-7 Packing Fraction分析 75
4-3 濾波器的製作與量測 76
第五章 實驗結果與討論 78
5-1 BaCo2(VO4)2之微波介電特性 78
5-1-1 BaCo2(VO4)2之XRD相組成分析 79
5-1-2 BaCo2(VO4)2之拉曼光譜分佈 81
5-1-3 BaCo2(VO4)2之SEM分析 82
5-1-4 BaCo2(VO4)2之Packing Fraction 分析結果 84
5-1-5 BaCo2(VO4)2之相對密度分析結果 85
5-1-6 BaCo2(VO4)2之介電係數(εr)分析結果 86
5-1-7 BaCo2(VO4)2之品質因數與共振頻率乘積(Q×f)分析結果 87
5-1-8 BaCo2(VO4)2之共振頻率溫度飄移係數(τf)分析結果 88
5-2 Ba(Co1-xMgx)2(VO4)2 (x = 0–1)之微波介電特性 89
5-2-1 Ba(Co1-xMgx)2(VO4)2 (x = 0–1)之XRD相組成分析 90
5-2-2 Ba(Co1-xMgx)2(VO4)2 (x = 0–1)之拉曼光譜分佈 91
5-2-3 Ba(Co1-xMgx)2(VO4)2 (x = 0–1)之SEM分析 93
5-2-4 Ba(Co1-xMgx)2(VO4)2 (x = 0–1)之相對密度分析結果 95
5-2-5 Ba(Co1-xMgx)2(VO4)2 (x = 0–1)之介電係數(εr)分析結果 96
5-2-6 Ba(Co1-xMgx)2(VO4)2 (x = 0–1)之品質因數與共振頻率乘積(Q×f)分析結果 97
5-2-7 Ba(Co1-xMgx)2(VO4)2 (x = 0–1)之共振頻率溫度飄移係數(τf)分析結果 98
5-3 濾波器的模擬與實作 100
5-3-1 使用FR4(玻璃纖維基板)之模擬與實作結果 101
5-3-2 使用Al2O3基板之模擬與實作結果 103
5-3-3 使用Ba(Co0.4Mg0.6)2(VO4)2自製基板之模擬與實作結果 105
第六章 結論 108
參考文獻 109

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