光子晶體傳導帶與介電質柱波導之研究

以作者查詢圖書館館藏

、以作者查詢臺灣博碩士

、以作者查詢全國書目

、勘誤回報

、線上人數：8

、訪客IP：3.15.144.181

姓名

吳健暘(Jian-Yang Wu) 查詢紙本館藏

畢業系所

光電科學與工程學系

論文名稱

光子晶體傳導帶與介電質柱波導之研究
(Study on the conduction band of photonic cryatal and dielectric rods waveguide)

相關論文

★ 平坦化陣列波導光柵分析和一維光子晶體研究	★ 光子晶體波導與藕合共振波導之研究
★ 光子晶體異常折射之研究	★ 平面波展開法在光子晶體之應用
★ 偏平面光子晶體能帶之研究	★ 通道選擇濾波器之探討
★ 廣義光子晶體元件之研究與分析	★ 新式光子晶體波導濾波器之研究
★ 廣義非均向性介質的光傳播研究	★ 光子晶體耦合濾波器之研究
★ 聲子晶體傳導帶與週期性彈性柱波導之研究	★ 對稱與非對稱波導光柵之特性研究
★ 雙曲透鏡之研究	★ 電磁波與聲波隱形斗篷之研究
★ 一維光子晶體等效非均向介值之研究	★ 手徵超材料之研究

檔案

[Endnote RIS 格式]

[Bibtex 格式]

[相關文章]

[文章引用]

[完整記錄]

[館藏目錄]

[檢視]

[下載]

本電子論文使用權限為同意立即開放。
已達開放權限電子全文僅授權使用者為學術研究之目的，進行個人非營利性質之檢索、閱讀、列印。
請遵守中華民國著作權法之相關規定，切勿任意重製、散佈、改作、轉貼、播送，以免觸法。

摘要(中)

本論文以平面波展開法、長波極限法以及多重散射法來研究光子晶體之傳導帶特性，並提出一種新式的波導－介電質柱波導，它是由一列的介電質柱所構成。在適當的頻率下，光的能量會侷限在每根柱子內，很像是光在一個接著一個的共振腔中傳播。此種波導可在許多不同結構下仍然可以有很高的穿透率，並且不像光子晶體波導具有幾何結構上的限制，只能做特定角度的轉彎，任意角度的轉彎對於介電質柱波導是可達成的。並且相對於傳統介電質波導，可大幅降低轉彎時所需的曲率半徑，相信在未來，此種形式的波導會在光電元件及積體光學中扮演重要的角色。

摘要(英)

We propose a new type of optical waveguide that consists of several dielectric rods.
In this new type of optical waveguide, energy will localize in every rod in some frequency, as light propagating in strongly localized cavities. High transmission is observed for various waveguide structures. All angle bends in dielectric rods waveguide can be happened, but photonic crystal waveguide can’t. And it uses less radius of curvature then classical dielectric waveguide. The waveguide may have practical importance for development of optoeletronic components and circuits.

關鍵字(中)

★ 光子晶體傳導帶
★ 介電質柱波導
★ 彎曲波導

關鍵字(英)

★ conduction band of photonic cryatal
★ dielectric rods waveguide
★ bent waveguide

論文目次

摘要..............................................................................................................................Ⅰ
目錄..............................................................................................................................Ⅱ
圖引索..........................................................................................................................Ⅳ
第一章緒論………………………………………………………………….………1
第二章光子晶體理論與分析方法……………………….…………………………3
2.1 光子晶體的基本概念……………………………………………………………3
2.2 二維光子晶體之平面波展開法…………………………………………………7
2.2.1二維平面波之波動方程式…………………………………………………..7
2.2.2平面波展開法………………………………………………………………..8
2.3 長波極限………………………………………………………………………..10
2.3.1理論推導與計算……………………………………………………………10
2.3.2光子晶體介質與等效均勻介質之比較……………………………………15
2.4 多重散射法……………………………………………………………………..16
2.5 多重散射法中能流的計算……………………………………………………..24
第三章介電質柱波導之機制與討論………………………………………………26
3.1傳統介電質波導基本原理介紹…………………………………………………26
3.2介電質柱波導的原理與架構……………………………………………………27
第四章數值模擬結果………………………………………………………………30
4.1 介電質柱波導和傳統波導的分析比較……………………………………...…30
4.2 介電質柱波導之特性分析與探討……………………………………………...33
4.2.1 能帶結構分析………………………………………………………………33
4.2.2 介電質柱波導傳播特性之研究與討論……………………………………36
4.2.3 錯序( disorder )之分析與討論……………………………………………..45
4.3 介電質柱波導之應用…………………………………………………………...50
第五章結論與未來發展……………………………………………………………56
參考資料……………………………………………………………………………..59

參考文獻

[1] J. D. Joannopoulos, R. D. Meade, J. N. Winn, Photonic Crystals—Molding the Flow of Light, Princeton University Press, 1995.
[2] E. Yablonovitch, “Inhibited Spontaneous Emission in Solid-State Physics and Electronics,” Phys. Rev. Lett. 58, 2059 (1987).
[3] S. John, “Strong localization of photons in certain disordered dielectric superlattices,” Phys. Rev. Lett. 58, 2486 (1987).
[4] C. Kittel, Introduction to Solid State Physics, 8th Ed., John Wiley & Sons, USA, 2005.
[5] Yoel Fink, Joshua N. Winn, Shanhui Fan, Chiping Chen, Jurgen Michel, John D. Joannopoulos, Edwin L. Thomas, “A Dielectric Omnidirectional Reflector”, Science 282, 1679(1998).
[6] Philip Russel, “photonic crystal Fibers”, Science 299,358(2003).
[7] M. Notomi, “Theory of light propagation in strongly modulated photonic crystals: Refractionlike behavior in the vicinity of the photonic band gap”, Phys. Rev. B 62, 10696 (2000).
[8] Chiyan Luo, Steven G. Johnson, and J. D. Joannopoulos, and J. B. Pendry, “All-angle negative refraction without negative effective index”, Phys. Rev. B 65, 201104 (2002); Chiyan Luo, Steven G. Johnson, and J. D. Joannopoulos, “All-angle negative refraction in a three-dimensionally periodic photonic crystal”, Appl. Phys. Lett. 81, 2352 (2002).
[9] J. B. Pendry, “Negative Refraction Makes a Perfect Lens”, Phys. Rev. Lett. 85, 3966 (2000).
[10] P. Halevi, A. A. Krokhin and J. Arriaga, “Photonic Crystal Optics and Homogenization of 2D Periodic Composites’’, Phys. Rev. Lett. 82, 719 (1999).
[11] A. A. Krokhin, P. Halevi, and J. Arriaga, “Long-wavelength limit (homogenization) for two-dimensional photonic crystals”, Phys. Rev. B. 65, 115208 (2003) .
[12] Bikash C. Gupta, Chao-Hsien Kuo, and Zhen Ye, “Propagation inhibition and localization of electromagnetic waves in two- dimensional random dielectric systems”, Phys. Rev. E 69, 066615 (2004).
[13] I. S. Gradshteyn, I. M. Ryzhik, Alan Jeffrey, Table of Integrals, Series, and Products, 5th Ed., Academic Press, 1994.
[14] J. D. Jackson, Classical electrodynamics, 3rd Ed, John Wiley &Sons, New York, 1999.
[15] M. Tokushima, H. Kosaka, A. Tomita, H. Yamada, “Lightwave propagation through a 120o sharply bent single-line-defect photonic crystal waveguide,” Appl. Phys. Lett. 76, 952 (2000).
[16] A. Talneau, L.Le Gouezigou, N. Bouadma, M. Kafesaki, C. M. Soukoulis, M. Agio, “Photonic-crystal ultrashort bends with improved transmission and low reflection at 1.55?m,” Appl. Phys. Lett. 80, 547 (2002).
[17] A. Chutinan, M. Okano, S. Noda, “Wider bandwidth with high transmission through waveguide bends in two-dimensional photonic crystal slabs,” Appl. Phys. Lett. 80, 1698 (2002).
[18] Amnon Yariv, Yong Xu, Reginal K. Lee, and Axel Scherer, “Coupled-resnator optical waveguide: a proposal and analysis”, Opt. Lett. 24,711(1999)
[19] Stefano Boscolo, Michele Midrio, and Carlo G. Someda, “Coupling and decoupling of electromagnetic waves in parallel 2-d photonic crystal waveguides”, IEEE J. Quantum Electron 47, 38(2002).
[20] A. Sharkawy, S. Shi, D. W. Prather, “Electro-optical switching using coupled photonic crystal waveguides”, Opt. Express 10, 1048 (2002).
[21] Eiji Miyai, and Susumu Noda, “Structural dependence of coupling between a two-dimensional photonic crystal waveguide and a wire waveguide”, J. Opt. Soc. Am. B 67, 21(2004).
[22] K. C. Kwan, X. Zhang, Z. Q. Zhang, C. T. Chan, “Effect due to disorder on photonic crystal-based waveguides,” Appl. Phys. Lett. 82, 4414 (2003).
[23] H. Miyazaki, M. Hase, H. T. Miyazaki, Y. Kurokawa, N. Shinya, “Photonic material for designing arbitrarily shaped waveguides in two dimensions,” Phys. Rev. B 67, 235109 (2003).

指導教授

欒丕綱(Pi-Gang Luan)

審核日期

2005-7-6

推文