光纖彎曲損失線上動態測量之研究
學生：鄭文銘 指導教授：曹士林博士
元智大學
電機工程研究所
摘要
在本篇論文中，我們提出了一種考慮了不同彎曲類型參數，分別包括：彎曲半徑、捲繞圈數、彎曲角度及波長的簡單化公式。在彎曲型光纖感測器的系統中，它可以用來作為光纖彎曲損失值、靈敏度的計算及最佳化參數的設計。以測量光纖彎曲損失為基礎，移動光纖為考量被完成的光纖彎曲損失線上量測系統。包括：光的收訊器及發射器、自由空間的光功率耦合裝置、光纖外部空間干擾、擾動裝置及電子電路。其中硬體機構的設計與考量為：自由空間的光功率耦合、光纖外部空間干擾、擾動裝置、機械振動及其他設備干擾源。電子電路負責導通我們的調變信號，濾除線上可能之電氣干擾源。為了避免複雜計算光纖彎曲損失，除了靜態參數考量外，增加了光纖移動速度、壓變程度參數的考慮。為了增加整個線上動態測量系統的訊號雜訊比（SNR），我們使用光調變的技術與加了折射率匹配膏於動態旋轉的光纖上，使系統能更穩定的被讀取信號。
這些研究的成果，對於能以既簡單又方便的方法計算光纖彎曲損失與彎曲型光纖感測系統效能的評估是有助益的；線上自動化偵測光纖彎曲損失，對於光纖品質檢驗的效能提升是非常有幫助的。

Study of An On-Line Fiber-Optic Bending Loss Measurement System
Student：Wen-Ming Cheng Advisor：Shyh-Lin Tsao
Department of Electrical Engineering
Yuan-Ze University
ABSTRACT
In this thesis, the authors have designed and analyzed a simplified formulation of bending loss for fiber sensor with considering various wrapping setups such as bending radius, wrapping turns, bending angle, and wavelength. These results are useful for evaluation of fiber-optic bending loss and finding optimum factors in fiber bending sensor system.
A completed moving fiber is on-line bending loss measurement system includes an optical transmitter, an optical receiver, free space optical power coupling devices, fiber-optic external spatial perturbation rollers, and electronic circuits.
A novel setup of moving fiber measurement system is completed with considering free space optical power coupling, external spatial perturbation, machine vibrations improvement and rejection interference noise. The electronic circuits passed our modulated signal and rejected any of noise. To avoid complicated calculation of fiber bending loss, the authors proposed a simplified theoretical model for on-line evaluation with considering moving fiber velocity, deformation, and some bending parameters. The signal to noise ratio of the whole system is improved with considering adding index-matching oil to the dynamic rotating fiber adaptor and applying the transmission light modulation techniques.
Using simplified formulation of bending loss for fiber sensor is a conventional proposal, and this measurement system can monitor fiber bending loss automatically, the efficiency of fiber quality checking can be enhanced.

Contents
Chinese Abstract ………………..………...…………………………...i
English Abstract ………………..……...………………………….…..ii
Acknowledgment ……………………………….…………………….iii
Contents .………...…………………………………….………..….…...iv
List of Figures ………………………………………………….….....viii
List of Tables …………………………………………….…………….xv
Chapter 1 Introduction ………………………………..……….1
Chapter 2 Simplified Formulation of Bending loss for Optical
Fiber Sensors ….…………..………………..……....8
2-1 Introduction……………………………….…………………………..8
2-2 Theoretical Model……………………………………………….……10
2-3. Simplified Semi-Empirical Formulation...……………………….….15
2-3-1 Experimental setup………..…….……………..……………...15
2-3-2 Bending radius consideration…………….………….………..16
2-3-3 Wrapping turns consideration.…..……………..……………...17
2-3-4 Bending angle consideration…………….……….……..……..19
2-3-5 Wavelength response of bending loss….……………………...21
2-3-6 The curves fitting of fiber-optic bending loss measurement for various variable setup……………………………....………..23
2-4 Discussions……………………...…………………………………….24
2-5 Conclusions…………………………………..……………………..26
Chapter 3 Implementation of A Fiber-Optic Bending Loss On-Line Measurement System….…………..…...43
3-1 Introduction…………………………………..…………………...…43
3-2 Experimental Setup of the On-Line Fiber-Optic Bending Loss Measurement………………………………………………………..45
3-3 The Free Space Rotating Fiber Adaptor and Coupling Loss.…………………………………….………………...………46
3-4 Theoretical Model of the Dynamic Fiber-Optic Bending Loss Measurement…………………………………………..…………..49
3-5 The Transmitter and Receiver Circuit………………………………...52
3-6 The SNR of the Dynamic Fiber-Optic Bending Loss Measurement System…………………………………………...…………………. 58
3-7 Discussions……………………..…………………………………….59
3-8 Conclusion……………………………………………………………60
Chapter 4 Impact Factors Analysis of An On-Line Fiber-Optic Bending Loss Measurement System………………………………………………...75
4-1 Introductions……..……………………..………………………...…..75
4-2 On-Line Fiber-Optic Bending Loss Measurement……………...…….77
4-3 Impact Factors………………………………………………………...80
4-4 Reduce the Impact Factors…………….……………………..……….81
4-4-1. Support Structure Considerations..………………………….…..81
4-4-2. Dynamic Fiber-Optic Bending Loss Measurement Device Consideration…..……………………………………………....81
4-4-3 Active Band-Pass Filter Consideration….………………….……82
4-4-4. Transmitter Power Fluctuation and Receiver Thermal Noise
（σth） and Shot Noise （σs）Consideration…………………….85
4-4-5. PID Movable Dancer Effect..………………………..………….86
4-5 The Other Equipment Effect On the On-Line Dynamic Fiber-Optic Bending Loss Measurement………………………………………....87
4-6. Comparison of On-Line and Off-Line Bending Loss Measurement...87
4-7.Conclusion……………………………………………………...…….89
Chapter 5 Conclusions.……………………………….…………….106
References …………………………………………………………….113
Publication Lists …………………………………………….…...….123

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Publication Lists
1.Shyh-Lin Tsao and Wen-Ming Cheng, " Tightly Bending Loss Measurement for 1.3μm and 1.5μm broadband wavelength Division Multiplying Fiber Sensor Systems " , Proceeding of SPIE Optical Sensing, Imaging and Manipulation for Biological And Biomedical Applications Conference, International optoelectronics Symposium on Photonics Taiwan, July 26-28, Taipei, Taiwan, Vol. 4082, pp.265-274, 2000.
2.Shyh-Lin Tsao and Wen-Ming Cheng, “ An Optical Wavelength to Power Converter Using Fiber Spiral Bending Technique ”, Proceeding of IPC 2000 conference, December 12-15, Taiwan, vol. Th-T2-P009, pp.619-621, 2000.
專利
專利名稱：光纖捲繞式波長-功率轉換器，中華民國專利送審中。