臺灣博碩士論文加值系統

共振腔微擾法是利用微波共振電路量測封閉矩形或圓形波導管內所產生之共振頻率偏移與腔體內品質因子Q值變化，藉以計算塊材或薄膜之電磁參數。本論文藉由改變鐵氟龍、RT/duriod標準試片尺寸與長度，對共振腔微擾法做電磁量測精準度分析，並利用Ansoft HFSS電磁分析軟體對開有溝槽之共振腔做數值實驗模擬與公式驗證。
本研究以環氧樹脂為基材，依照不同重量百分比之微米級羰基鐵粉與奈米級氧化鐵、導電碳黑粉末混合，製備微米/奈米複合材料，利用共振腔微擾法量測該複合材料於X-Band（8 ~ 12.4 GHz）頻段之電磁參數，並與同樣製備試片之同軸管法做比較。結果顯示無論是介電常數或導磁率之實部與虛部，共振腔微擾法與同軸管法皆相當吻合，其中並探討在高介電材料產生相對誤差之主要原因。本研究之成果可用於精確與簡便地量測在微波頻段下，新型電磁材料之頻率響應，有助於高頻微波材料與微波元件之設計。

Resonant cavity perturbation method is a technique to obtain the complex permittivity and permeability of bulk materials or thin films at microwave frequencies. This method uses a microwave resonant circuit to measure the shift of resonant frequency and the change of quality factor in a closed rectangular or circular waveguide. In this study, the accuracy of the resonant cavity perturbation is evaluated by changing the samples sizes and lengths of Teflon and RT/duroid. To verify the formulae used in the calculation of the complex permittivity and permeability, a numerical simulation is also carried out by using Ansoft HFSS to analyze the electromagnetic disturbance in a rectangular waveguide with an open slot for the test samples.
Microwave absorbing composites are fabricated by mixing epoxy resin with carbonyl iron, nano-Fe3O4, and conductive carbon black for different weight ratios and then molded in rod shapes. Using the resonant perturbation method, these microwave absorbing composites are measured in X-band and compared with the transmission/reflection method by using a coaxial line. The results show either complex permittivity or permeability of these two methods are rather consistent. The discrepancy becomes large for high permittivity materials. This research provides a simple and reliable method to measure the electromagnetic properties of materials in the microwave frequency range and may benefit the development of new microwave materials and microwave devices.

致謝 i
中文摘要 ii
英文摘要 iii
圖目錄 vii
表目錄 xi
第一章 緒論 1
1.1前言 1
1.2 研究動機 1
1.3 內容簡述 2
第二章 文獻回顧 4
2.1 材料電磁特性 4
2.1.1 介電常數（Permittivity） 4
2.1.2 導磁率（Permeability） 5
2.2材料電磁特性量測方法 6
2.2.1 平行板法（Parallel Plate） 7
2.2.2 同軸探針法（Coaxial Probe） 8
2.2.3傳輸/反射法（Transmission /Reflection） 10
2.2.4 自由空間法（Free-Space） 13
2.2.5 共振腔微擾法（Cavity Perturbation） 15
第三章 微波共振腔基本理論 17
3.1 微波共振腔基本理論推導 17
3.1.1 mode 18
3.1.2 品質因數Q 20
3.1.3 複介電常數量測公式推導 22
3.1.4 複導磁率量測公式推導 24
第四章 實驗流程 26
4.1 奈米複合材料製作流程 26
4.1.1 吸波試片製作流程 26
4.1.2不同重量百分比之複合材料 28
4.2 實驗設備 29
4.2.1向量網路分析儀 30
4.2.2 共振腔 31
4.2.3測量流程 33
4.3 電磁參數量測精準度 38
4.3.1 介電常數之量測精準度 38
4.3.2 導磁率之精準度 41
4.4 尺寸限制下之複介電常數修正 43
第五章 HFSS模擬微波共振腔 46
5.1 HFSS模擬和實驗值驗證 47
5.2 HFSS數值實驗模擬 49
第六章 實驗結果與討論 52
6.1 複合材料電磁參數量測結果討論 52
6.2 實驗結果與同軸管法比較 64
第七章 結論 70
參考文獻 72
附錄A 76
附錄B 77

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