在這項研究中，我們成功地推出了一種獨特且創新的「三叉戟放大機制」，此機制已被運用於提升光纖布拉格光柵（FBG）感測的靈敏度。這種新型的機制不只對傳統的光纖應變規拉伸機制進行了優化，也加入了壓力應變結構，以進一步提升感測能力。
具有突破性的三叉戟放大機制，讓我們能夠在對光纖傳感器進行有限元分析時，專注於研究其在受到軸向應力時的橫向應變變化。這種深入的分析能力讓我們的研究有了更廣泛的應用。
我們的研究也將溫度補償因素融入設計之中，當進行拉力感測時，壓力端的FBG用於溫度補償；相反地，壓力感測時，拉伸端則作為溫度補償。這種獨特的溫度補償設計，實現高精度的數值輸出，進一步確保感測器能準確地回傳應變值。
製程方面，我們運用激光加工技術精準製作FBG，從而確保我們能精確地追蹤材料應力變化。而我們獨特的三叉戟放大機制在結構設計上，能有效預防長期使用導致的彈性元件蠕變和失去彈性的問題，同時提高了測量準確度。
我們的三叉戟放大機制設計，使得我們的結構能進行正負位移的檢測。無論是正位移還是負位移的測量，都展現了卓越的微位移測量能力、抗蠕變性能和溫度補償性能。
此外，我們還利用這項設計創建了新型的感測系統——光纖布拉格光柵光纖電磁鐵鋼鐵厚度量測系統。該系統在厚度感測上的線性度極高，可達0.9999，以及其出色的波長變化和損耗性能，且光纖應變規從 0 到 600μm的拉伸，步長為 10 μm，靈敏度更可達到7.664835 pm/με，這些特性都強烈證明了我們的三叉戟放大機制在提升光纖傳感器靈敏度上的巨大貢獻。

In this study, we have successfεly introduced a unique and innovative "Trident Amplification Mechanism" that has been applied to enhance the sensitivity of Fiber Bragg Grating (FBG) sensing. This novel mechanism not only optimized the traditional optical fiber strain gauge stretching mechanism but also incorporated a pressure strain structure to further boost the sensing capability.
The groundbreaking Trident Amplification Mechanism enables us to focus on the study of lateral strain variations in the optical fiber sensor under axial stress during the finite element analysis. This profound analysis capability broadens the application scope of our research.
Our research also incorporates temperature compensation factors into the design. When performing tensile sensing, the pressure end of the FBG is used for temperature compensation. Conversely, during pressure sensing, the stretching end serves as temperature compensation. This unique temperature compensation design realizes high-precision numerical output, further ensuring that the sensor can accurately return strain values.
In terms of fabrication, we employed laser machining techniques to precisely fabricate the FBG, thereby ensuring that we can accurately track the changes in material stress. Our unique Trident Amplification Mechanism in the structural design can effectively prevent problems such as creep and loss of elasticity caused by long-term usage, while improving measurement accuracy.
Our Trident Amplification Mechanism design enables our structure to conduct positive and negative displacement detection. Whether it's positive or negative displacement measurement, it exhibits excellent micro-displacement measurement capability, anti-creep performance, and temperature compensation performance.
Furthermore, we have utilized this design to create a new type of sensing system - Fiber Bragg Grating Electromagnetic Iron Thickness Measurement System. The system demonstrates a high degree of linearity in thickness sensing, reaching up to 0.9999, and its excellent wavelength variation and loss performance allow its linearity to reach 0.987. These characteristics strongly affirm the significant contribution of our Trident Amplification Mechanism in enhancing the sensitivity of optical fiber sensors.

目錄
摘要 i
ABSTRACT ii
致 謝 iv
目錄 v
圖目錄 vii
表目錄 xvii
附錄 xviii
第一章 序論 1
1.1 研究動機 1
1.2 研究背景 4
1.2.1. 布拉格光纖光柵之製作方法 4
1.2.2. 光纖應變規設計 9
1.3 研究目的 24
第二章 基礎理論 25
2.1 光纖傳輸基本原理 25
2.2 光彈理論 33
2.3 布拉格光纖光柵基本原理 36
2.4 應變規感測原理 39
第三章 研究原理 51
3.1 感測器設計 51
3.1.1. 應變規設計過程 51
3.1.2. 布拉格光纖光柵光纖電磁鐵鋼鐵厚度量測系統 71
3.2 使用有限元法 (FEM) 的數值分析 72
3.2.1. CO2雷射製程金屬布拉格光纖光柵光纖應變規 72
3.2.2. 布拉格光纖光柵光纖電磁鐵鋼鐵厚度量測系統 75
3.3 實驗架構 90
3.3.1. CO2雷射製程金屬布拉格光纖光柵光纖應變規 90
3.3.2. 布拉格光纖光柵光纖電磁鐵鋼鐵厚度量測系統 93
第四章 實驗及模擬結果與討論 96
4.1 不同參數模擬結果探討 96
4.1.1. 結構參數與模擬結果 96
4.1.2. 模擬結果分析與討論 242
4.2 實驗結果 251
4.2.1. CO2雷射製程金屬布拉格光纖光柵光纖應變規 251
4.2.2. 拉格光纖光柵光纖電磁鐵鋼鐵厚度量測系統 259
第五章 結論 261
第六章 未來展望 262
第七章 參考文獻 263
第八章 附錄 270

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