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研究生:劉奕暉
研究生(外文):Liou, Yi-Huei
論文名稱:以金為主體光子晶體光子能隙與缺陷模態之研究
論文名稱(外文):Study of photonic band gaps and defect modes in Au-based metal photonic crystals
指導教授:吳謙讓
指導教授(外文):Wu, Chien-Jang
學位類別:碩士
校院名稱:國立臺灣師範大學
系所名稱:光電科技研究所
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:2017
畢業學年度:105
語文別:中文
論文頁數:54
中文關鍵詞:光子晶體光子能隙缺陷模態
外文關鍵詞:photonic cystalphotonic band gapdefct mode
相關次數:
  • 被引用被引用:1
  • 點閱點閱:116
  • 評分評分:
  • 下載下載:22
  • 收藏至我的研究室書目清單書目收藏:0
在這篇論文中,我們將研究三種主題關於Au與兩種介電質薄膜結構的光學特性。在第一個主題中,我們使用轉移矩陣法(TMM)分析〖air/(1/Au/3)〗^N/air。在垂直入射,我們發現在Au厚度增加時光子能隙(PBG)會增寬;固定Au厚度時,我們發現入射角度增加時TE波與TM波的PBG皆會發生偏移,但TE波的PBG則是比TM波寬。第二個主題中,我們使用同樣的方法分析〖air/(1/3)〗^N/Au/〖(3/1)〗^N/air,在金屬γ=0,隨著金屬厚度與入射角度增加時,在PBG上的穿透峰值將會偏移。在垂直入射中,Au厚度增加時穿透峰值將會向右移動;在固定Au厚度中,TE波與TM波皆會隨著角度增加穿透峰值向右偏移,但TE波的偏移量比TM多。第三個主題中,我們也使用同樣的方法分析〖air/Au/(1/3)〗^N/air和air/〖(1/3)〗^N/Au/air。在垂直入射中,我們這兩種結構的PBG並不會受到Au厚度而有偏移或增寬的現象;在固定Au厚度中,此兩結構的TE波會隨著入射角度增加而增寬,TM波則相反。
In this thesis, we shall study the three theme about the optical properties of Au layers and two dielectric layers structures. In the first theme, we used transfer matrix method (TMM) to analyze 〖air/(1/Au/3)〗^N/air. In normal Incident, we could find the photonic band gap (PBG) will be shifted and become wide as the thickness of the Au layers increase. Then, we could find the PBG of TE wave and TM wave will be shifted as the angle of incident increase. But PBG of TE wave is wider than TM wave. In the second theme, we used the same method to analyze 〖air/(1/3)〗^N/Au/〖(3/1)〗^N/air. In normal Incident and γ=0, we could find the transmitted peak will be right shifted as the thickness of the Au layers increase. Then, we could find the transmitted peak of TE wave and TM wave will be right shifted as the angle of incident increase. But TE wave is larger than TM wave. In the third theme, we also used the same method to analyze 〖air/Au/(1/3)〗^N/air and air/〖(1/3)〗^N/Au/air. In normal Incident, we could find the PBG of the two structures are not dependent on the thickness of the Au layers increase. Then Then, we could find the PBG of TE waves of the two structures will become wide as the angle of incident increase, but TM waves are opposite.
第一章 緒論 4
1-1 光子晶體簡介 4
1-2 單負材料簡介 6
第二章 轉移矩陣法與研究概論 7
2-1 轉移矩陣法 7
2-2 研究概論 10
第三章 Au光子晶體的光學性質 12
3-1 簡介 12
3-2 光垂直入射於Au光子晶體 13
3-3 光斜角入射於Au光子晶體 20
第四章 Au光子晶體異質結構缺陷模態的光學性質 26
4-1 簡介 26
4-2 光垂直入射於Au光子晶體異質結構缺陷模態 28
4-3 光斜角入射於Au光子晶體異質結構缺陷模態 34
第五章 Au在雙介電質光子晶體的光學性質 38
5-1 簡介 38
5-2 光垂直入射於Au在雙介電質光子晶體 39
5-3 光斜角入射於Au在雙介電質光子晶體 42
第六章 總結 52
References 53
[1] E. Yablonovitch "Inhibited Spontaneous Emission in Solid-State Physics and Electronics", Phys. Rev. Lett., Vol. 58, 2059 ,1987
[2] S. John, "Strong Localization of Photons in Certain Disordered Dielectric Superlattices", Phys. Rev. Lett. 58, 2486 , 1987
[3] V. G. Veselago, “The electrodynamics of substances with simultaneously negative values of ε and μ,” Sov. Phys. Usp. 10, 509–514 (1968).
[4] C. Caloz and T. Itoh, Electromagnetic Metamaterials: Transmission Line Theory and Microwave Applications (Wiley, 2004).
[5] Yeh P 1988 Optical Waves in Layered Media (New York:Wiley)
[6] Awasthi, S. K., U. Malaviya, and S. P. Ojha, \Enhancement of
omnidirectional total-re°ection wavelength range by using one-dimensional ternary photonic bandgap material," J. Opt. Soc. Am. B: Optical Physics, Vol. 23, 2566{2571, 2006.
[7]Yablonovitch E, Gmitter T J, Meade R D, Rappe A M, Brommer K D and Joannopoulous J D , 1990, Phys. Rev. Lett. 67, 3380
[8]Mc Call S. L. , Platzman P.M. , Dalichaouch R, Smith D and Schultz S , 1991 Phys. Rev. Lett. 67, 2017
[9]]Painter O, Lee R. K. Scherer A, Yariv A, O, Brien J. D., Dapkus P D and Kim I ,1999 Science, 284, 1819
[10]]Fan S, Villeneuve P. R., Joannopoulos J.D. 1996, Phys. Rev. B 54,7837.
[11]Silvestre E , Pottage J M , Russell P S , et al. Design of thin2film photonic crystal waveguides. Appl Phys Lett , 2000 ,77 (7) : 942~944
[12] Orfanidis, S. J., Electromagnetic Waves and Antennas, Rutger University, 2008, www.ece.rutgers.edu/ orfanidi/ewa.
[13] C.-J. Wu, Y.-H. Chung,B.-J. Syu, T.-J. Yang , BAND GAP EXTENSION IN A ONE-DIMENSIONAL TERNARY METAL-DIELECTRIC PHOTONIC CRYSTAL, Progress In Electromagnetics Research, PIER 102, 81{93, 2010
[14] TZU-CHYANG KING, DE-XIN CHEN, WEI-CHENG LIN, AND CHIEN-JANG WU2, Photonic band gap structure for a ferroelectric photonic crystal at microwave frequencies, Vol. 54, No. 29 / October 10 2015 / Applied Optics
[15] TMM for Optics in Graphene Layers Tianrong Zhan, Xi Shi, Yunyun Dai, Xiaohan Liu, and Jian ZiarXiv:1212.5763v1, 23 Dec. 2012
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