臺灣博碩士論文加值系統

本篇論文主要分別介紹四大部分，第一、二和三部分將介紹新開發的微波介電材料，第四部分介紹濾波器的模擬與實測。
首先第一部分為Li2Co2(MoO4)3陶瓷之微波介電特性，由實驗結果發現，在燒結溫度為840℃並持溫4小時擁有最佳的微波介電特性ε_r~9.1、Q×f~34,000 GHz、τ_f~-72 ppm⁄℃。第二部分為Li2Ni2(MoO4)3陶瓷之微波介電特性，觀察實驗結果，在燒結溫度為660℃並持溫4小時擁有最佳的微波介電特性ε_r~9.6、Q×f~28,000 GHz、τ_f~-71 ppm⁄℃。第三部分為利用Zn2+去進行少量取代，探討Li2Ni2-xZnx(MoO4)3 (0≤x≤0.1)陶瓷之微波介電特性，觀察實驗結果，在燒結溫度為660℃，x=0.05的Li2Ni1.95Zn0.05(MoO4)3擁有最佳的微波介電特性ε_r~10.9、Q×f~56,000 GHz、τ_f~-62 ppm⁄℃ 。
最後第四部分，我們以HFSS模擬濾波器電路，並將電路實作於FR4、氧化鋁、Li2Ni1.95Zn0.05(MoO4)3基板上，由結果可知，高介電常數能使電路面積縮小且高Q×f提高濾波器在頻率選擇上的表現。

In order to obtain a novel low-temperature co-fired ceramics, microwave dielectric properties of Li2Co2(MoO4)3 and Li2Ni2-xZnx(MoO4)3 (0≤x≤0.1) ceramics had been investigated. The experimental results show that Li2Co2(MoO4)3 has best properties at sintering temperature 840℃ for 4 hours, with ε_r~9.1, Q×f~34,000 GHz and τ_f~-72 ( ppm)⁄℃﹔the Li2Ni2(MoO4)3 has best properties at sintering temperature 660℃ for 4 hours, with ε_r~9.6 Q×f~28,000 GHz and τ_f~-71 ( ppm)⁄℃ ﹔the Li2Ni1.95Zn0.05(MoO4)3 has best properties at sintering temperature 660℃ for 4 hours, with ε_r~10.9 Q×f~56,000 GHz and τ_f~-62 ( ppm)⁄℃.In this paper, the band-pass filter was designed with Square open-loop resonator which contains Open-stub. According to the results of measurements, the performance of the filter was improved by using low-loss dielectric ceramics as the substrate, and its size was reduced by using high dielectric constant ceramics.

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 4
2-1 微波技術與共振器發展 4
2-2 材料的燒結 7
2-2-1 材料燒結之擴散方式 7
2-2-2 材料燒結之過程 8
2-2-3 燒結的種類 9
2-3 介電共振器原理 10
2-4 微波介電材料之特性 13
2-4-1 介電係數(Dilectric Constant, εr) 13
2-4-2 品質因數(Quality Factor, Q) 18
2-4-3 共振頻率溫度飄移係數(τf) 20
2-4-4 介電特性量測方法 21
2-5 拉曼光譜與分子振動模態簡介 29
2-5-1 拉曼光譜(Raman spectra) 29
2-5-2 分子的振動模態(Vibrational modes) 30
2-6 低溫共燒陶瓷(LTCC)技術簡介 31
第三章 微帶線及濾波器原理 32
3-1 濾波器原理 32
3-1-1 濾波器的簡介 32
3-1-2 濾波器之種類及其頻率響應 33
3-2 微帶線原理 36
3-2-1 微帶傳輸線的簡介 36
3-2-2 微帶線的傳輸模態 37
3-2-3 微帶線各項參數公式計算與考量 38
3-2-4 微帶線的不連續效應 41
3-2-5 微帶線的損失 48
3-3 微帶線諧振器的種類 50
3-3-1 λ/4短路微帶線共振器 50
3-3-2 λ/2開路微帶線共振器 52
3-4 共振器間的耦合形式 55
3-4-1 電場耦合(Electric Coupling) 55
3-4-2 磁場耦合(Magnetic Coupling) 60
3-4-3 混和耦合(Mixed Coupling) 64
3-5 濾波器設計 67
3-5-1 正方形開迴路共振器 67
3-5-2 四分之一波長開路殘斷 68
第四章 實驗程序與量測儀器 70
4-1 微波介電材料的製備 70
4-1-1 粉末的製備與球磨 71
4-1-2 粉末的煆燒 71
4-1-3 加入黏劑、過篩 71
4-1-4 壓模成形、去黏劑及燒結 72
4-2 微波介電材料的量測與分析 72
4-2-1 密度測量 72
4-2-2 X-Ray分析 73
4-2-3 SEM分析 73
4-2-4 拉曼光譜儀分析 74
4-3 濾波器的製作過程 75
第五章 實驗結果與討論 77
5-1 Li2Co2(MoO4)3的微波介電特性 78
5-1-1 Li2Co2(MoO4)3的XRD相組成分析 78
5-1-2 Li2Co2(MoO4)3的拉曼光譜分佈 80
5-1-3 Li2Co2(MoO4)3的SEM、EDS分析 81
5-1-4 Li2Co2(MoO4)3的相對密度分析 83
5-1-5 Li2Co2(MoO4)3的介電係數(εr)分析 84
5-1-6 Li2Co2(MoO4)3的品質因數與共振頻率乘積(Q×f)分析 85
5-1-7 Li2Co2(MoO4)3的共振頻率溫度飄移係數(τf)分析 86
5-1-8 Li2Co2(MoO4)3的晶格常數 87
5-2 Li2Ni2(MoO4)3的微波介電特性 90
5-2-1 Li2Ni2(MoO4)3的XRD相組成分析 90
5-2-2 Li2Ni2(MoO4)3的拉曼光譜分析 92
5-2-3 Li2Ni2(MoO4)3的SEM分析、EDS分析 93
5-2-4 Li2Ni2(MoO4)3的相對密度分析 95
5-2-5 Li2Ni2(MoO4)3的介電係數(εr)分析 96
5-2-6 Li2Ni2(MoO4)3的品質因數與共振頻率乘積(Q×f)分析 97
5-2-7 Li2Ni2(MoO4)3的共振頻率溫度飄移係數(τf)分析 98
5-2-8 Li2Ni2(MoO4)3的晶格常數 98
5-3 Li2Ni2-xZnx(MoO4)3 (x=0-0.1) 的微波介電特性 100
5-3-1 Li2Ni2-xZnx(MoO4)3 (x=0-0.1)的XRD相組成分析 100
5-3-2 Li2Ni2-xZnx(MoO4)3 (x=0-0.1)的SEM分析、EDS分析 103
5-3-3 Li2Ni2-xZnx(MoO4)3 (x=0-0.1)的相對密度分析 105
5-3-4 Li2Ni2-xZnx(MoO4)3 (x=0-0.1)的介電係數(εr)分析 106
5-3-5 Li2Ni2-xZnx(MoO4)3 (x=0-0.1)的品質因數與共振頻率乘積(Q×f)分析 107
5-3-6 Li2Ni2-xZnx(MoO4)3 (x=0-0.1)的共振頻率溫度飄移係數(τf)分析 109
5-3-7 Li2Ni2-xZnx(MoO4)3 (x=0-0.1)的晶格常數 110
5-4 濾波器的模擬與實作 112
5-4-1 玻璃纖維基板(FR4)之模擬與實作結果 113
5-4-2 氧化鋁基板之濾波器模擬與實作結果 115
5-4-3 Li2Ni1.95Zn0.05(MoO4)3 (自製基板)之濾波器模擬與實作結果 117
第六章 結論 121
參考文獻 123

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