簡易檢索 / 詳目顯示

研究生: 李岳勳
Li Yue Syun
論文名稱: 一維矽基半導體光子晶體光子能帶結構之研究
Study of photonic band structure in the one-dimensional silicon-based photonic crystals
指導教授: 吳謙讓
Wu, Chien-Jang
學位類別: 碩士
Master
系所名稱: 光電工程研究所
Graduate Institute of Electro-Optical Engineering
論文出版年: 2014
畢業學年度: 102
語文別: 中文
論文頁數: 45
中文關鍵詞: 半導體光子晶體多通道濾波器傳遞矩陣
英文關鍵詞: Semiconductors, photonic crystals, multichannel filter, transfer matrix method
論文種類: 學術論文
相關次數: 點閱:165下載:0
分享至:
查詢本校圖書館目錄 查詢臺灣博碩士論文知識加值系統 勘誤回報
  • 本論文的目的是要研究一維矽基半導體光子晶體的光子能帶結構特性。我們藉由轉移矩陣法(TMM)來計算結構的頻譜圖,論文有二個主題:

    主題一是研究矽基半導體光子晶體的光子能隙,利用air/(AB)^N/air的結構,
    A = n-Si、B = air、N=stack number,由於半導體的介電係數可隨載子濃度而改變,所以我們可以藉由調變濃度、n-Si和air的厚度調變光子能隙或位移;另外改變濃度及厚度,可以使部份方向性能隙的寬度及所能達到的角度增加。

    主題二則是研究矽基半導體光子晶體的透射特性,利用air/((AB)^N)(A)/air 的結構來研究透射波峰,A = n-Si、B = SiO2,調變層數N會與所產生的透射峰數相等,調變n-Si和SiO2可以使透射峰藍移,調變角度可以使透射峰紅移,若調變偏振TE、TM波則影響較小,綜合以上特性,設計可調式多通道的濾波器。

    In this thesis, the photonic band structure in the one-dimensional silicon-based photonic crystals are investigated. Two main topics are involved.
    The first part is to investigate silicon-based photonic band gaps. We consider photonic structures of (AB)^N ,in which A is n-Si and B is air, N is the stack number. It is found that the photonic band gaps can be tuned by the variation of carrier density, thickness of A and B .Then we can increase the omnidirectional band gap by tuned carrier density and thickness.
    The second part is to investigate the properties of wave transmission. We consider photonic structures of (AB)^N(A) ,in which A is n-Si and B is SiO2. It is found that the number of peaks is equal to the stack number N. The peak positions can be tuned by thickness of A and B, that is, peaks are blue-shifted as the thickness increases. The peak positions are also strongly dependent on the incident angle, but weakly on the polarization of the incident wave. The results suggest that a tunable multichannel filter can be achieved by using such an Si-based photonic crystals.

    摘要 i Abstract ii 致謝 iii 目錄 iv 第一章 序論 1-1簡介 1 1-2 光子晶體的缺陷與掺雜 4 1-3 光子晶體的計算 5 1-4 應用與研究方向 5 Refrerence 6 第二章 一維矽基光子晶體之光子能隙分析 2-1 導論 7 2-2 基本方程式 8 2-3 數據結果與討論 10 2-3-1 濃度調變 10 2-3-2 厚度調變 11 2-3-3一維光子晶體n-Si/air的部份方向能隙研究 14 2-4 結論 24 Refrerence 24 第三章 一維矽基光子晶體之透射特性分析 3-1 導論 26 3-2 基本方程式 27 3-3數據結果與討論 29 3-3.1 層數N調變 31 3-3.2 n-Si層厚度調變 32 3-3.3 介電層 SiO_2層厚度的調變 34 3-3.4 濃度調變 35 3-3.5 TE TM波隨角度調變 37 3-4 結論 39 Reference 39 第四章 結論 41 Reference 43

    [1] E. Yablonovitch, “Inhibited Spontaneous Emission in Solid-State Physics and Electronics,” Phys. Rev. Lett. 58, 2059 (1987).
    [2] S. John, “Strong localization of photons in certain disordered dielectric superlattices,” Phys. Rev. Lett. 58, 2486 (1987).
    [3] J. D. Joannopoulos, R. D. Meade, J. N. Winn, “Photonic Crystals-Molding the Flow of Light,” Princeton University Press, 41, William Street, Princeton, New Jersey 08540, p. 6, 1995.
    [4] http://www.cljh.tc.edu.tw/movement/infocontest/cljh/94info/p /94ppt208.ppt
    [5] 蝴蝶翅膀鱗粉,光子晶題專題報導,奈米科學網。http://nano.nchc.org.tw/photonic/photonic.php
    [6] K. M. Ho, C. T. Chart, and C. M. Soukoulis, “Existence of a photonic gap in periodic dielectric structures,” Phys. Rev. Lett. 65, 3152 (1990).
    [7] Allen Taflove and S. C. Hagness, “Computational Electrodynamics: The
    Finite-Difference Time-Domain Method,” ArtechHouse Publishers; 2nd Bk & CD edition, 2000.
    [8] J. B. Pendry and A. MacKinnon, “Calculation of photon dispersion relations,” Phys. Rev. Lett. 69,2772 (1992).
    [9] 欒丕綱、陳啓昌,《光子晶體—從蝴蝶翅膀到奈米光子學》,五南出版社 (2005).
    [10] C.-J. Wu, Y.-H. Chung, B.-J. Syu, and T.-J. Yang: Prog. Electromagn. Res.
    2(2010) 81.
    [11] P. Halevi, J. A. Reyes-Avendano, and J. A. Reyes-Cervantes: Phys. Rev. E 73(2006) R040701.
    [12] C.-J. Wu, J.-J. Liao, and T.-W. Chang, J. Electromagn. Waves Appl. 24 (2010) 531.
    [13] H. Tian and J. Zi: Opt. Commun. 252 (2005) 321.
    [14] H.-C. Hung, C.-J. Wu, T.-J. Yang, and S.-J. Chang, IEEE Photonics J. 4 (2012) 903.
    [15] P. Halevi and F. Ramos-Mendieta, Phys. Rev. Lett. 85, 1875 (2000).
    [16] R. S. Muller and T. I. Kamins, Device Electronics for Integrated ircuits,2nd ed. (Wiley, New York, 1986).
    [17] R. A. Smith, Semiconductors ~Cambridge University Press, New York, 1978!.
    [18] C. Kittel, Introduction to Solid State Physics (Wiley, New York, 1996).
    [19] P. Yeh, Optical Waves in Layered Media, Wiley, New York (1988).
    [20]Yamada, H. ; Gomyo, A. ; Ushida, J. ; Ishida, Satomi ; Arakawa, Yasuhiko
    Tunable Optical Notch Filter Realized by Shifting the Photonic Bandgap in a Silicon Photonic Crystal Line-Defect Waveguide . IEEE photon Tech Lett , 2006, 18(24):2614-2616
    [21] Omura, Y. ; Tsuji, M. Optically tunable narrowband filter using defect-induced pass-band in photonic crystal waveguide SOI Conference, 2003. IEEE International
    Conference , 2003 ,1 :117-118
    [22] Johnson, Kristina M. ; Liu, Jian‐Yu High-speed wavelength tunable liquid crystal filter Photonics Technology Letters, IEEE Photon Tech Lett , 1995 , 7(4): 379-381
    [23] Zawistowski, Z.J. ; Dainese, M. ; Cardin, Julien ; Thylen, L. Widely tunable directional coupler filters with 1D photonic crystal Proc 2008 Transparent Optical Networks International conference, 2005 , 1 :136-139

    無法下載圖示 本全文未授權公開
    QR CODE