利用表面電漿共振增強 Goos-Hänchen 位 移現象量測折射率變化

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姓名

涂譽馨(Yu-Hsin Tu) 查詢紙本館藏

畢業系所

光電科學與工程學系

論文名稱

利用表面電漿共振增強 Goos-Hänchen 位移現象量測折射率變化
(Measurement of Refractive Index Variation by Using Enhanced Goos-Hänchen Shift Based on Surface Plasmon Resonance)

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至系統瀏覽論文 (2025-1-1以後開放)

摘要(中)

本論文利用表面電漿共振 (Surface Plasmon Resonance, SPR) 能夠增
強 Goos-Hänchen 效應 (Goos-Hänchen Effect, GH Effect) 的能力，結
合其本身多年來於生物樣本檢測領域的應用，以偏振光學、GoosHänchen 效應、表面電漿共振以及干涉光學的理論為基礎重新設計實
驗，並且重新定義一物理量 Kaisa 作為新的檢測依據。
實驗設計中，將一道擁有兩個偏振模態 (TE and TM Mode) 的雷
射光束導入 Kretschmann Configuration，原入射雷射光由於表面電漿
共振 (Surface Plasmon Resonance, SPR) 對於兩偏振態會造成不同程
度的 Goos-Hänchen 效應的位移現象，在雷射光離開 Kretschmann
Configuration 時，原入射光由原先兩個偏振模態正交的一道雷射光一
分為二，形成兩道偏振模態正交的雷射光束，且兩道雷射光束間部分
面積重合。並且在 Kretschmann Configuration 後放置 GlanThompson Polarizer 使 TE 偏振模態和 TM 偏振模態分別單獨通過，
以及兩偏振模態同時通過，使其兩於同方向量上產生分量進行干涉。
最終由偵測器量測 TE 偏振模態和 TM 偏振模態的反射光吸收光
譜以及干涉後干涉項的光強。而 Kaisa 即為干涉項的光強除以兩倍
的 TE 偏振模態和 TM 偏振模態的反射光強相乘的開根號。
經由理論模擬後計算後，原先作為檢測依據的 TM 偏振模態的
iii
反射光強的品質因數 (Figure of Merits, FoM) 為 37.12，而 Kaisa 的
品質因數則為 114.67，相較原檢測依據的品質因數提升了 3.09 倍。
實際實驗量測中，以蔗糖水溶液作為量測樣本，樣本濃度分別為 0%、
1.25%、2.5%、5%以及 10%，其對應折射率為 1.33299、1.33478、1.33659、
1.34026 以及 1.34783。而此實驗架構量測折射率變化的檢測極限
(Limit of Detection, LoD) 可達 1.05 × 10−3
RIU (Refractive Index
Unit)。

摘要(英)

This work adopted the concept of Goos-Hänchen effect into the Surface
Plasmon Resonance biosensor. The experimental design is based on the
theory of the Polarization of Light, Goos-Hänchen effect, Surface Plasmon
Resonance and Interferometry. And a new parameter, Kaisa, is introduced
and defined.
In the experimental design, a laser beam with both TE and TM
polarization mode serves as the incident light source arriving at the
Kretschmann Configuration. Since the Surface Plasmon Resonance
introduce different Goos-Hänchen shifts to the laser beam with TE and TM
polarization mode, the incident laser beam is split into two beams with TE
and TM polarization mode respectively. Moreover, there is a slight spatial
shift between them. After the Krestchmann Configuration a GlanThompson Polarizer is placed to allow only the beam with TE or TM
polarization mode to pass, and create the component on the same direction
for both beam to interfere with each other. At last the detector will measure
the power of the beam with TE and TM polarization mode respectively and
the power of the interference term. The new parameter, Kaisa, is then
defined as the power of the interference term divided by two times of the
square value of the product of the power of the beam of TE and TM
polarization mode.
According to the theoretical calculation and simulation, the Figure of
Merit (FoM) of the power of the beam with TM polarization mode, which
is commonly used as the parameter for Surface Plasmon Resonance
biosensor testing is 37.12, meanwhile, the FoM of Kaisa is 114.67,
v
indicating increasing the resolution of the biosensor by 3.09 times. In
practice, the sucrose solutions are selected as the testing sample, with the
concentration of 0%, 1.25%, 2.5%, 5% and 10%, and the corresponding
refractive index will be 1.33299, 1.33478, 1.33659, 1.34026 and 1.34783
respectively. The Limit of Detection (LoD) of the system is able to reach
1.05 × 10−3 RIU (Refractive Index Unit).

關鍵字(中)

★ 表面電漿共振
★ Goos-Hänchen 效應

關鍵字(英)

★ Surface Plasmon Resonance
★ Biosensor
★ Goos-Hänchen effect
★ Kretschmann Configuration
★ Kaisa

論文目次

摘要 ii
Abstract iv
Table of Contents viii
List of Figures x
List of Tables xii
Chapter 1 Motivation and Introduction 1
1.1 Motivation 1
1.2 Review of Biosensors 2
1.3 Outline Statement 5
Chapter 2 Theory 7
2.1 Goos–Hänchen Effect 7
2.1.1 Total Internal Reflection 7
2.1.2 Evanescent Wave 8
2.1.3 Approximate Theory for Goos–Hänchen Shift 10
2.2 Surface Plasmon Resonance 22
Chapter 3 Theoretical Approach and Experimental Setup 28
3.1 Theoretical Approach 28
3.2 Experimental Design and Setup 30
3.2.1 Experimental Design 30
3.2.2 Experimental Setup 35
3.3 Simulation Results and Analytical Method 37
3.3.1 Simulation Results 37
3.3.2 Analytical Method 43
Chapter 4 Results and Discussions 46
4.1 Results 46
4.2 Discussions 49
4-3 Correction for the Figure of Merit of Kaisa 61
4-4 Conclusion 62
Chapter 5 Future Work 63
Reference 66

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指導教授

郭倩丞(Chien-Cheng Kuo)

審核日期

2020-1-21

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