以嚴謹耦合波分析次波長光柵反射器

Lu-Kai Liao; 廖祿凱

請用此 Handle URI 來引用此文件： http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/65511

完整後設資料紀錄

DC 欄位	值	語言
dc.contributor.advisor	邱奕鵬(Yih-Peng Chiou)
dc.contributor.author	Lu-Kai Liao	en
dc.contributor.author	廖祿凱	zh_TW
dc.date.accessioned	2021-06-16T23:47:30Z	-
dc.date.available	2015-08-01
dc.date.copyright	2012-07-31
dc.date.issued	2012
dc.date.submitted	2012-07-23
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dc.identifier.uri	http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/65511	-
dc.description.abstract	在本篇論文中，我們將專注於利用嚴謹的耦合波展開法(rigorous coupled wave analysis, RCWA)這種廣泛被利用在電磁計算的數值方法設計並分析一維次波長的光柵反射器，目的是希望能夠不需要利用非常複雜的幾何結構就可以製造出良好反射器的效果。以實用的角度來講，反射器的反射效率將在共振腔的設計上扮演決定性的角色，並且，近二十年來，許多研究指出光柵式反射器確實有可能應用在面射型雷射(Vertical-cavity surface-emitting lasers, VCSELs)上。在我們的研究之中將分別找尋正向入射時TE與TM極化在不同折射率對比之下光柵反射器的結構參數，並且直接利用RCWA這種數值方法畫出場形以及分析電磁波的相位變化來討論為什麼這種次波長的光柵結構可以具有強反射的物理特性。在我們的模擬工作中，折射率對比將分類為高折射率對比、中等折射率對比、低折射率對比的狀況，並且在每個狀況中舉出若干範例。其中，我們對中等折射率對比和低折射率對比的狀況花費較多心力，經過模擬我們認為經過妥善的設計，儘管在折射率對比差異較小的狀況下仍然有可能利用光柵反射器製造出高反射。除了正向入射的研究之外，我們也嘗試討論沿光柵溝槽方向有一個夾角入射的情況，希望透過妥善的設計讓光柵反射器有讓電磁波在低吸收性損耗介質中傳導的可能。	zh_TW
dc.description.abstract	In this thesis, we devote to design and study one-dimensional subwavelength grating reflector by rigorous coupled wave analysis (RCWA), which is a famous numerical method in electromagnetic problem calculation. Our goal is to make a high reflection efficiency device without complicate geometric structure. In view of practical applications, reflection efficiency of a reflector plays an important role in designing a resonance cavity. In addition, lots of researches in past two decades have shown that grating reflector is possible to be used in vertical-cavity surface-emitting lasers (VCSELs). In our research, we will first try to design the parameters of grating reflector under normal incidence in different refractive index contrast of grating for TE and TM polarization respectively; furthermore, we will plot the field patterns and observe the phase difference between incident, reflection and transmission waves by RCWA calculation in order to figure out why such device could be a nice reflector. In our simulation, refractive index contrast difference is classified as high index contrast, medium index contrast, and low index contrast cases and we will show at least one example in each case. Among them, we will pay more attention on medium index contrast and low index contrast cases. After simulation, we consider that it is still possible to obtain high reflection efficiency in low index contrast case by properly designing parameters of grating reflector. In addition to the case of normal incidence, we also try to study the case of incident waves has an angle between those parallel grating bars. We hope to find the possibility to guide wave in low absorption loss medium by properly designing this kind of grating reflector.	en
dc.description.provenance	Made available in DSpace on 2021-06-16T23:47:30Z (GMT). No. of bitstreams: 1 ntu-101-R99941039-1.pdf: 27948126 bytes, checksum: de5fde2873a9c7b072e2440ee9799219 (MD5) Previous issue date: 2012	en
dc.description.tableofcontents	口試委員會審定書 # 誌謝 i 中文摘要 ii ABSTRACT iii CONTENTS iv LIST OF FIGURES vii LIST OF TABLES xviii 第 1 章緒論 1 1.1 歷史背景 1 1.1.1 面射型雷射(VCSELs)的光學系統 1 1.1.2 光柵式反射器使用在面射型雷射的優點與缺點 3 1.2 文獻回顧 5 1.2.1 繞射理論與光柵研究 5 1.2.2 M. G. Moharam 與美國佛羅里達中央大學 (University of Central Florida, UCF) 團隊的研究 7 1.2.3 Connie J. Chang-Hasnaian 與美國加州大學 (University of California at Berkeley, UCB) 團隊的研究 12 1.3 研究動機與概要 17 第 2 章理論模擬 21 2.1 TE偏振嚴謹的耦合波展開法 23 2.2 TM偏振嚴謹的耦合波展開法 36 2.3 三維(Conical)嚴謹的耦合波展開法 49 2.4 光柵式反射器的設計概念與操作實務 72 2.4.1 正向入射光柵式反射器 72 2.4.2 平行溝槽方向入射光柵式反射器 76 第 3 章正向入射光柵式反射器模擬 79 3.1 TE偏振正向入射 79 3.1.1 中等折射率對比狀況 79 3.1.1.1 折射率對比 2.0/1.0 79 3.1.2 低折射率對比的狀況 104 3.1.2.1 折射率對比 1.5/1.0 104 3.1.2.2 折射率對比 1.2/1.0 123 3.1.2.3 折射率對比 1.05/1.0 132 3.1.3 高折射率對比的狀況 147 3.1.3.1 折射率對比 3.5/1.0 147 3.2 TM偏振正向入射 164 3.2.1 中等折射率對比狀況 164 3.2.1.1 折射率對比 2.0/1.0 164 3.2.1.2 折射率對比 2.4/1.0 183 3.2.2 低折射率對比狀況 204 3.2.2.1 折射率對比 1.5/1.0 204 3.2.2.2 折射率對比 1.1/1.0 214 3.2.3 高折射率對比狀況 225 3.2.3.1 折射率對比 3.5/1.0 225 第 4 章平行溝槽方向入射光柵式反射器 235 4.1 設計目的 235 4.2 設計範例 236 4.2.1 類TM極化(TM like)折射率對比2.0/1.0設計角度75 236 4.2.2 類TM極化(TM like)折射率對比1.05/1.0設計角度75 245 第 5 章結論 254 REFERENCE 256
dc.language.iso	zh-TW
dc.title	以嚴謹耦合波分析次波長光柵反射器	zh_TW
dc.title	Rigorous Coupled Wave Analysis of Subwavelength Grating Reflectors	en
dc.type	Thesis
dc.date.schoolyear	100-2
dc.description.degree	碩士
dc.contributor.oralexamcommittee	毛明華(Ming-Hua Mao),馮開明(Kai-Ming Feng),賴志賢(Chih-Hsien Lai),王子建(Tzyy-Jiann Wang)
dc.subject.keyword	嚴謹的耦合波展開法,光柵反射器,	zh_TW
dc.subject.keyword	Rigorous Coupled Wave Analysis,Grating Reflector,	en
dc.relation.page	260
dc.rights.note	有償授權
dc.date.accepted	2012-07-24
dc.contributor.author-college	電機資訊學院	zh_TW
dc.contributor.author-dept	光電工程學研究所	zh_TW
顯示於系所單位：	光電工程學研究所

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