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研究生:許家熏
研究生(外文):Chia-Hsun Hsu
論文名稱:使用Floquet-Bloch Theory分析apodization二階光纖光柵
論文名稱(外文):Using Floquet-Bloch Theory to Analyze Second-Order Apodization Gratings
指導教授:孫迺翔孫迺翔引用關係
指導教授(外文):Nai-Hsiang Sun
口試委員:蔣榮生劉文豐于欽平
口試委員(外文):Jung-Sheng ChiangWen-Fung LiuChin-Ping Yu
口試日期:2022-01-25
學位類別:碩士
校院名稱:義守大學
系所名稱:電機工程學系
學門:工程學門
學類:電資工程學類
論文種類:學術論文
論文出版年:2022
畢業學年度:110
語文別:中文
論文頁數:150
中文關鍵詞:
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本論文運用 Floquet-Bloch 理論分析二階多區任意結構布拉格光纖光柵,主要針對輻射公式進行修改,將原先單區輻射公式推導成單段多區輻射公式,考慮到長度較長的結構,更改對z 方向的傳播方式,得到多段多區的輻射公式,發展出新的模擬二階多區任意結構布拉格光纖光柵的模擬程式,使用新的模擬程式模擬二階多區弦波結構、二階多區矩形結構、二階Gaussian apodization 的結構、二階多區任意結構去分析不同參數間的輻射變化。
In this thesis, we analyze second-order fiber Bragg gratings (FBGs) with an arbitrary multi-section structure by Floquet-Bloch theory. We theoretically derive the expression of the radiation power for second-order FBGs. Moreover, the radiation formula is expanded to multi-section FBGs. We develop a numerical software to simulate second-order FBGs with arbitrary a multi-section structure. The second-order uniform FBGs with sinusoidal gratings and rectangular gratings, the second-order Gaussian apodization structure, and the second-order FBGs with arbitrary grating profiles are analyzed to obtain the transmission, reflection and radiation spectrum.
摘要 iii
ABSTRACT iv
圖目錄 vi
表目錄 xi
第一章 緒論 1
1.1前言 1
1.2研究背景與動機 2
1.3文獻回顧 3
1.4研究方法 5
1.5論文架構 6
第二章 理論分析 7
2-1 Floquet-Bloch Theory(FBT) 理論 7
2-2單區光柵傳輸反射輻射效率 8
2-3單區光柵輻射效率 11
2-4多區光柵傳輸反射輻射效率 14
2-5多區光柵輻射效率 16
2-6調整z方向傳播表示式 17
第三章 二階布拉格光纖光柵模擬 20
3-1 弦波光柵與矩形光柵 22
3-2模擬二階布拉格光纖光柵的弦波與矩形單區與多區同結構之結果 23
3-3 模擬二階布拉格光纖光柵的弦波與矩形多區不同nσ之結果 46
3-4 模擬二階布拉格光纖光柵的弦波與矩形多區不同週期之結果 75
第四章 二階Gaussian apodization模擬 108
4-1 Gaussian apodization 108
4-2 二階Gaussian apodization不同分區之模擬 109
4-3 二階Gaussian apodization不同半波頻寬之模擬 119
4-4 二階Gaussian apodization 特殊結構模擬 127
第五章 結論 133
參考文獻 134
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