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系統識別號 U0026-2307201511234700
論文名稱(中文) 藉由低同調干涉系統量測光纖之剖面折射率
論文名稱(英文) Refractive Index Profiling of Optical Fibers using Low-Coherence Interferometry
校院名稱 成功大學
系所名稱(中) 光電科學與工程學系
系所名稱(英) Department of Photonics
學年度 103
學期 2
出版年 104
研究生(中文) 陳緯璇
研究生(英文) Wei-Hsuan Chen
學號 L76034132
學位類別 碩士
語文別 英文
論文頁數 50頁
口試委員 指導教授-曾碩彥
口試委員-黃勝廣
口試委員-魏明達
口試委員-徐旭政
中文關鍵字 光纖  低同調干涉  折射率 
英文關鍵字 optical fiber  low-coherence interference  refractive index 
學科別分類
中文摘要 本論文致力於研究光纖基底折射率與剖面折射率分布量測。首先,我們介紹光纖波導之基本理論,用以分析實驗量測結果並比較,並利用光的同調特性,建立一套低同調光源的干涉系統,藉由兩道光訊號之間的交叉相關性(cross-correlation)量測光纖各種的資訊,像是光纖的模態比重、模態剖面光強度、有效折射率等等。且此方法所需的已知參數只有數值孔徑(numerical aperture) 。最後透過各模態的剖面光強度,我們嘗試透過逆運算重建光纖剖面折射率,理論上一個模態可以對應算出一個剖面折射率,藉此方法預期可得到較精準的值。我們藉由實際的量測多模突變光纖來驗證此套方法,然而實驗結果遇到不少問題,像是模態的激發不完全、干涉情況不理想等等。顯示要量測到準確的結果,需要改善實驗設置和架設,但整體的量測方式我們認為是可行的。
英文摘要 This thesis is devoted to measure the base refractive index and refractive index profiling of optical fiber. We begin by introducing the fundamental theory of optical fiber to analyze and compare with experimental results. With optical coherence, we build a low-coherence interferometric system. If we know the numerical aperture of test fiber, we can use cross-correlation between two beams to measure the modal contents such as modal weights, profiles, effective refractive index, and so on. Finally, we try to reconstruct the two-dimensional refractive index profile from an inverse algorithm. Theoretically, the profiles of each mode should yield the same refractive index profile of fibers, and we can obtain the accurate value by averaging the results. In experiment, we measure step-index multimode fibers by this system. There are some problems in this experiment, such as modes are excited incompletely, interference is imperfect. We conclude that the setup need to be improved, but we think this method is feasible.
論文目次 中文摘要 i
Abstract ii
致謝 iii
Table of Contents iv
List of Figures vi
Chapter 1 Introduction 1
1.1 Introduction 1
1.2 Organization of the Thesis 2
Chapter 2 Theoretical Analysis 3
2.1 Fundamental Theory of Optical Fiber 4
2.2 Low-Coherence Interferometric Technology 10
2.2.1 Optical Coherence 10
2.2.2 Low-Coherence Interferometric System 15
2.3 Derivation of Inverse Algorithm 24
2.3.1 Finite Difference Scheme 27
Chapter 3 Experimental Results and Discussion 28
3.1 Analysis of Light Source 28
3.2 Experimental setup 32
3.3 Cross-correlation Traces 36
3.4 Base Refractive Index 40
3.4.1 Group Velocity Dispersion 43
3.4.2 Errors of the Measurement 44
3.5 Reconstructing Refractive Index Profile 45
Chapter 4 Conclusion and Perspectives 48
4.1 Conclusion 48
Reference 49
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10. W. S. Tsai, W. S. Wang, and P. K. Wei. "Two-dimensional refractive index profiling by using differential near-field scanning optical microscopy." Applied Physics Letters 91.6 (2007): 061123.
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16. Stanford Research Systems. "SR830 DSP Lock-in Amplifier. " User's manual (1999).

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