摘要
目前發展兆赫波的元件越來越廣泛，例如:波導管、相移器、矽基板特性，由於兆赫波的元件需要利用到某些材料來構成，所以對於量測材料在兆赫波下的介電係數和導磁係數也日益重要。
目前我們量測的材料有藍寶石(Sapphire)、矽基板(Silicon)、石英(Fused silica)和磁性材料鐵氧體，利用THz-TDS (terahertz time-domain spectroscopy)的方法，使用的是光導天線來產生兆赫波，操作頻段位於0.2~2 THz之間。
測量到經由空氣的穿透波(Reference pulse)和經過材料產生多重反射的波，這時取出經由空氣的穿透波、由材料穿出的第一道穿透波和第二道穿透波，經過計算後可同時得到材料複數的介電係數和導磁係數，比起一般測量材料的折射率和吸收係數，這個方法提供更加了解材料電性和磁性。

Abstract
The characteristics of a material in THz region, including its permittivity and permeability are important for developing THz devices, such as THz waveguides, substrate and phase shifter/circulator.
The electric properties of crystalline dielectric sapphire, high-resistivity/low-resistivity silicon, and fused silica and the magnetic properties of ferrite from 0.2 THz to 2.0 THz have been clearly measured by terahertz time-domain spectroscopy.
By detecting and analyzing the reference pulse (through the air) and the multiple-reflection pulses, including the first transmitted signal and the second transmitted signal with one round-trip traveling (through the sample), the complex permittivity and permeability could be simultaneously retrieved. Those results are consistent with the previous studies (refractive index and far-infrared absorption) but provides a more in-depth understanding of materials' electric and magnetic properties.

內文目錄
摘要 I
Abstract II
致謝 III
內文目錄 IV
附圖目錄 VI
第一章 緒論 1
1.1 兆赫波-簡介 1
1.2 兆赫波 - THz技術的相關研究 2
1.3 兆赫波-應用 2
1.4 研究動機 4
第二章 介電係數、導磁係數和折射率 5
2.1 介電係數 (Complex permittivity) 5
2.2 導磁係數 (permeability) 8
2.3 折射率(Index of refraction) 10
2.4 德汝德模型(Drude model) 12
第三章 兆赫波實驗裝置 13
3.1 雷射簡介 13
3.1.1 二極體激發連續波雷射(Millennia V, Spectra-Physics) 13
3.1.2 鈦:藍寶石鎖模雷射系統(Ti: Sapphire Laser) 14
3.2 THz的產生原理 15
3.2.1 光電導產生機制 15
3.2.2 光整流模式產生機制 16
3.3 THz輻射偵測原理 18
3.3.1 光導天線取樣機制(Photoconductive antenna Sampling) 18
3.3.2 電光取樣機制(Electro-Optics Sampling) 19
3.4 THz-TDS光路圖簡介(光導天線系統) 20
第四章 理論推導和模擬分析 22
4.1 單一邊界的穿透和反射推導 22
4.2 兩邊界上的多重反射 26
4.3 理論計算和模擬分析 28
4.4 相位差異問題  (數學) 33
4.5 相位差異問題  (物理) 36
第五章 實驗數據與分析 39
第六章 結論 54
參考文獻 55
Appendix A: 在Ka-band下量測複數材料的介電係數和導磁係數 60
Appendix B: 常見的塑膠材料在THz的折射率&吸收係數 71

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