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  1. NTU Theses and Dissertations Repository
  2. 工學院
  3. 工程科學及海洋工程學系
請用此 Handle URI 來引用此文件: http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/57413
完整後設資料紀錄
DC 欄位值語言
dc.contributor.advisor薛文証(Wen-Jeng Hsueh)
dc.contributor.authorKun-Yu Yuen
dc.contributor.author余昆郁zh_TW
dc.date.accessioned2021-06-16T06:45:06Z-
dc.date.available2019-08-13
dc.date.copyright2014-08-13
dc.date.issued2014
dc.date.submitted2014-07-28
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dc.identifier.urihttp://tdr.lib.ntu.edu.tw/jspui/handle/123456789/57413-
dc.description.abstract本論文主要目的在於研究石墨烯與介電多層結構的光傳輸特性以及能帶結構。本文首先介紹了石墨烯的光學特性以及基本的電磁波傳遞原理,接著藉由改變介電層的折射率、厚度以及入射光的角度,探討單層、雙層以及多層石墨稀與介電結構之TE極化以及TM極化入射下的反射率、穿透率以及吸收等特性。接著以轉移矩陣法結合布洛赫定理分析入射光在正向入射時,石墨烯與四分之一波長堆疊系統的能帶結構。研究結果顯示石墨烯與介電多層結構的能帶特性有別於傳統四分之一波長的結構,除了原有的禁帶頻段產生藍移之外,當介電層的厚度符合半波長的條件時,布里淵區的中心處會裂開產生窄頻的禁帶。zh_TW
dc.description.abstractThe main purpose of this thesis is to study the propagation of light and the bandstructure in graphene-dielectric multilayers. At first, the optical properties of graphene and the basic principle of electromagnetic wave is introduced. Next, the properties of light propagation such as reflection, transmission and absorption in TE mode and TM mode for single, double and multi-layer graphene-dielectric structures are studied by changing the angle of the incident light, the refractive index and the thickness of the dielectric layers. Using the transfer matrix and the Bloch’s theorem, the band structure for normal incidence of the graphene-embedded quarter-wave stack can be analyzed, which is different from the ones in traditional quarter-wave stack. The forbidden gaps at the zone boundary are shifted toward high frequency compared with the traditional quarter-wave stack. Moreover, the center of the Brillouin zone in graphene-embedded quarter-wave stack will split to mini gaps.en
dc.description.provenanceMade available in DSpace on 2021-06-16T06:45:06Z (GMT). No. of bitstreams: 1
ntu-103-R01525040-1.pdf: 955602 bytes, checksum: c7921709f1c78b669623cded4e84e1b5 (MD5)
Previous issue date: 2014
en
dc.description.tableofcontents中文摘要 i
英文摘要 ii
目錄 iii
圖目錄 v
符號表 viii

第一章 導論 1
1.1 背景與研究動機 1
1.2 歷史文獻回顧 2
1.3 論文架構 3
第二章 石墨烯的特性以及電磁波理論 5
2.1 石墨烯之光學特性 5
2.2 電磁波理論 7
2.2.1 馬克斯威爾方程式 8
2.2.2 赫姆霍茲方程式 9
2.2.3 邊界條件 10
2.2.4 Poynting’s theorem 11
2.3 週期性結構之電磁波特性 12
第三章 光在多層結構中傳遞之理論 17
3.1 轉移矩陣法 17
3.1.1 TE極化電磁波 17
3.1.2 TM極化電磁波 20
3.2 色散方程式 24
3.3 反射率、穿透率以及吸收 25
第四章 石墨烯與介電多層結構之光傳輸特性 32
4.1 穿透率、反射率以及吸收特性 32
4.1.1 單層石墨稀與介電結構 32
4.1.2 雙層石墨稀與介電結構 34
4.1.3 有限多層石墨稀與介電結構 35
4.2 週期性石墨烯與介電結構 36
4.2.1 石墨烯與雙介電層 36
4.2.2 石墨烯與單介電層 38
第五章 結論與未來展望 58
5.1 結論 58
5.2 未來展望 59
參考文獻 60
dc.language.isozh-TW
dc.subject石墨烯zh_TW
dc.subject轉移矩陣法zh_TW
dc.subject能帶結構zh_TW
dc.subject四分之一波長堆疊zh_TW
dc.subject半波長堆疊zh_TW
dc.subjecthalf-wave stacken
dc.subjecttransfer matrixen
dc.subjectbandstructureen
dc.subjectquarter-wave stacken
dc.subjectgrapheneen
dc.title石墨烯與介電多層結構之光傳輸特性zh_TW
dc.titlePropagation of Light in Graphene-Dielectric Multilayersen
dc.typeThesis
dc.date.schoolyear102-2
dc.description.degree碩士
dc.contributor.oralexamcommittee鄭勝文(Sheng-Weng Cheng),郭鴻飛(Hung-fei Kuo),王志星(Chih-Hsing Wang),溫新助(Sin-Jhu Wun)
dc.subject.keyword石墨烯,轉移矩陣法,能帶結構,四分之一波長堆疊,半波長堆疊,zh_TW
dc.subject.keywordgraphene,transfer matrix,bandstructure,quarter-wave stack,half-wave stack,en
dc.relation.page65
dc.rights.note有償授權
dc.date.accepted2014-07-28
dc.contributor.author-college工學院zh_TW
dc.contributor.author-dept工程科學及海洋工程學研究所zh_TW
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