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研究生: 劉松高
Sung-Kao Liu
論文名稱: 開放式微波共振腔之高頻介電常數量測
Investigation on Permittivity of Dielectric Material using an Open Microwave Resonator
指導教授: 張存續
Tsun-Hsu Chang
朱國瑞
Kwo-Ray Chu
口試委員:
學位類別: 碩士
Master
系所名稱: 理學院 - 物理學系
Department of Physics
論文出版年: 2006
畢業學年度: 94
語文別: 中文
論文頁數: 45
中文關鍵詞: 開放式共振腔微波
外文關鍵詞: open resonator, microwave
相關次數: 點閱:2下載:0
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  • 本篇論文以理論推導計算、數值模擬和實驗方法應用於開放式共振腔來量測材料之介電常數和介電損耗。主要是在Ka-band的35GHz附近去做量測。實驗上是利用HP8510網路分析儀去做量測,主要量測材料是Teflon為樣本。數值模擬軟體主要是利用HFSS9.2去做數值分析。實驗所量測到的值和已知論文量測值比較,介電常數誤差約1%以下, 誤差30%以下。本論文主要是利用高耦合系數的共振腔去做量測,結果與大部分已知論文極為相近。


    第一章 簡介.............................1 1.1 概述 1 1.1.1 介電常數和介電損耗 1 1.1.2 品質因子 2 1.1.3 材料的介電性質 6 1.2 介電常數的量測 7 1.2.1 傳統低頻介電常數量測法 7 1.2.2 各種高頻的量測法簡介 8 第二章 開放式共振腔理論推導與量測理論..10 2.1 高斯光束理論 10 2.1.1 簡介 10 2.1.2 高斯光束傳播方程式 10 2.1.3 高斯光束的高次模態 13 2.1.4 Hermite-Gaussian 模的共振頻率 14 2.2 介電材料在開放式共振腔的理論推導 15 2.2.1 簡介 15 2.2.2 量測樣品介電常數的理論推導 16 2.2.3 量測樣品介電損耗的理論推導 18 2.2.4 總結 20 第三章 模擬結果和討論..................21 3.1 高斯理論、HFSS模擬和實驗的驗証 22 3.1.1 驗證電場和磁場分佈是否符合 22 3.1.2 驗證腔體大小和頻率是否符合 23 3.1.3 理論計算spot size的大小和q軸向模態的關係 24 3.1.3 利用真空樣品檢驗公式 25 3.2 利用HFSS模擬實驗 26 第四章 實驗結果和討論..................28 4.1 實驗儀器和操作 28 4.1.1實驗儀器簡介 28 4.1.2實驗過程概述 29 4.2實驗結果及誤差 31 4.2.1 實驗結果和討論 31 4.2.2 量測誤差討論 35 第五章 結論............................37 附錄...................................38 Appendix A 空腔和放入樣品的的腔壁損耗關係 38 Appendix B 初略找放入樣品後基模共振頻率 41 參考文獻...............................42

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