本研究主要是探討塑膠光纖(Polymer Optical Fiber, POF)通訊系統中之主-被動元件與被動元件間之耦光參數對耦光效率及光訊號混合之影響，同時，利用週期性彎曲POF進行位移感測器之光功率分析與設計。分析時，採用雷射二極體(LD)與發光二極體(LED)為光源，並利用實驗結果配合光追跡分析與有限元素分析求得POF變形與光功率之相關資料，來探討耦光參數與彎曲變形對光功率衰減之影響。研究結果顯示，數值模擬與實驗數據具有頗佳之ㄧ致性。
文中首先分析陣列式V槽POF對主、被動元件間耦光效率的影響。結果顯示，V型槽形狀與尺寸對耦光功率的影響相當大。與平行佈列V型槽相較，螺旋佈列型式減少主、被動元件之長度並增加光源-POF間之總功率。而被動元件間之Y型耦合器中，耦合角度與透明介質折射率對Y型耦合器之過量損失與輸出功率比的影響相當大。本文所提之光追跡模型，可用來進行不同耦合參數下，各種折射率型式POF與輸出埠耦合器之分析。在週期性彎曲POF位移感測器中，滾柱數目、滾柱間隔與光源波長對位移感測器之光功率衰減的影響相當大。文中推估相對位移-光功率比之線性關係式，與實驗結果相較，誤差小於8%。

The effects of coupling parameters of active-passive and passive-passive coupling components on the coupling efficiency and signal mixed proportion for polymer optical fiber (POF) communication are investigated. A high sensitivity and easy fabricated POF displacement sensor is proposed by using cycling bending POF. Also, light sources for both Laser diode (LD) and light emitting diode (LED) are employed in this study. Experimental approaches and numerical analysis of rays tracing method and finite element method are performed to investigate the effects of coupling scheme and bent deformation on the optical power attenuation. Experimental results also illustrate the feasibility of using numerical analysis in coupling components and POF displacement sensor design.
The effect of V-grooved array’s POF on the coupling efficiency and signal mixed proportion are presented in active-passive components. The results indicate that the effect of the V-groove’s shape and size on the coupling efficiency is very significant for all designed parameters of V-grooved array’s POF. Compared with the parallel V-grooved array, the skew V-grooved array reduces the length of the coupling component and increases the output power between light source and POF. In the Y-branch POF coupler for passive-passive components, both the excess loss and the output power ratio of the Y-branch couplers are very sensitive to the couple angle, the coupling distance and the refractive index of the filling medium between the emitting-end and receiving-end of fibers. The results also show that the proposed model can be used to analyze the coupling efficiencies in the asymmetrical Y-branch or axial symmetrical couplers with acceptable accuracy. In the POF displacement sensor using by cycling bending loss, the results show that the effect of roller’s number, interval and wavelength on light power attenuation is very significant. Based on the experimental data, a linear equation is derived to estimate the relationship between the power loss and the relative displacement. The difference between the estimated results and the experimental results is less than 8%.

誌謝..........................................................................................i
摘要.........................................................................................ii
Abstract ................................................................................iii
目錄.........................................................................................v
圖目錄....................................................................................ix
表目錄...................................................................................xvi
符號說明..............................................................................xvii
第一章 緒論...........................................................................1
1.1 前言..................................................................................2
1.2 研究動機..........................................................................7
1.3 文獻回顧..........................................................................9
1.3.1 光追跡分析...................................................................9
1.3.2 V型槽塑膠光纖..........................................................11
1.3.3 塑膠光纖Y型耦合器..................................................12
1.3.4 光纖感測器................................................................15
第二章 理論導引與數值分析.............................................17
2.1 光追跡分析....................................................................17
2.1.1 Snell’s定律................................................................18
2.1.2 廣義Fresnel定律與功率傳輸係數..........................20
2.1.3 光源-V型槽光纖之光追跡分析.................................25
2.1.4 Y型耦合器之光追跡分析..........................................33
2.1.5 感測元件之光追跡分析............................................39
2.2 有限元素分析................................................................42
2.2.1 塑膠光纖拉伸變形分析............................................43
2.2.1.1 塑膠光纖之機械性質.............................................43
2.2.1.2 有限元素模型.........................................................48
2.2.1.3 負載-位移分析........................................................48
2.2.2 塑膠光纖之週期性彎曲變形分析............................48
2.2.2.1 有限元素模型.........................................................48
2.2.2.2 負載-位移分析........................................................55
第三章 V型槽塑膠光纖之耦光效率分析...........................57
3.1 實驗量測........................................................................57
3.2 光追跡分析....................................................................65
3.3 V型槽平行佈列之耦光效率分析.................................75
3.3.1 LED光源與V型槽平行佈列......................................82
3.3.2 LD光源與V型槽平行佈列.........................................89
3.4 V型槽螺旋佈列之耦光效率分析.................................93
3.4.1 LED光源與V型槽螺旋佈列......................................98
3.4.2 LD光源與V型槽螺旋佈列......................................101
3.5 結果與討論.................................................................105
第四章 Y型塑膠光纖耦合器之耦光效率分析.................114
4.1 實驗量測.....................................................................114
4.1.1 實驗設置..................................................................114
4.1.1.1 光纖對位偏置.......................................................114
4.1.1.2 Y型耦合器............................................................118
4.1.2 光追跡數值分析與量測結果..................................120
4.1.2.1 光纖對位分析.......................................................124
4.1.2.2 Y型耦合器分析....................................................127
4.2 對稱型Y型耦合器之耦光效率分析...........................129
4.3 非對稱型Y型耦合器之耦光效率分析.......................135
4.4 結果與討論.................................................................140
第五章 塑膠光纖位移感測器..........................................154
5.1 週期性彎曲塑膠光纖位移感測器.............................154
5.1.1 實驗設置..................................................................154
5.1.2 數值分析與量測結果..............................................158
5.1.3 結果與討論..............................................................163
5.2 兩倍週期性彎曲塑膠光纖位移感測器.....................173
5.2.1 實驗設置..................................................................174
5.2.2 結果與討論..............................................................177
第六章 結論.......................................................................185
6.1 結論.............................................................................185
6.2 未來工作.....................................................................188
參考文獻............................................................................190

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