Skip navigation

DSpace

機構典藏 DSpace 系統致力於保存各式數位資料(如:文字、圖片、PDF)並使其易於取用。

點此認識 DSpace
DSpace logo
English
中文
  • 瀏覽論文
    • 校院系所
    • 出版年
    • 作者
    • 標題
    • 關鍵字
    • 指導教授
  • 搜尋 TDR
  • 授權 Q&A
    • 我的頁面
    • 接受 E-mail 通知
    • 編輯個人資料
  1. NTU Theses and Dissertations Repository
  2. 電機資訊學院
  3. 光電工程學研究所
請用此 Handle URI 來引用此文件: http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/40858
完整後設資料紀錄
DC 欄位值語言
dc.contributor.advisor江衍偉(Yean-Woei Kiang)
dc.contributor.authorChun-An Linen
dc.contributor.author林俊安zh_TW
dc.date.accessioned2021-06-14T17:03:46Z-
dc.date.available2008-08-05
dc.date.copyright2008-08-05
dc.date.issued2008
dc.date.submitted2008-07-27
dc.identifier.citation1. E. Yablonovitch, “Inhibited spontaneous emission in solid-state physics and electronics,” Phys. Rev. Lett., vol. 58, no. 20, pp. 2059-2062, May 1987.
2. S. John, “Strong localization of photons in certain disordered dielectric super lattices,” Phys. Rev. Lett., vol. 58, no. 23, pp. 2486-2489, Jun. 1987.
3. J. D. Joannopoulos, R. D. Mead, and J. N. Winn, Photonic Crystals: Molding the Flow of Light, Princeton University Press, Princeton, 1995.
4. K. Sakoda, Optical Properties of Photonic Crystals, Springer-Verlag, New York, 2001.
5. S. G. Johnson, P. R. Villeneuve, S. Fan, and J. D. Joannopoulos, “Guided modes in photonic crystal slabs,” Phys. Rev. B, vol. 60, no. 8, pp. 5751-5758, Aug. 1999.
6. T. Ochiai1 and K. Sakoda, “Nearly free-photon approximation for two-dimensional photonic crystal slabs,” Phys. Rev. B, vol. 64, pp. 045108, Jul. 2001.
7. M. Qiu, “Effective index method for heterostructure-slab-waveguide- based two-dimensional photonic crystals,” Appl. Phys. Lett., vol. 81, no. 7, pp. 1163-1165, Aug. 2002.
8. L. C. Andreani and M. Agio, “Photonic bands and gap maps in a photonic crystal slab,” IEEE J. Quantum Electron., vol. 38, no. 7, pp. 891-898, Jul. 2002.
9. C. Chen, S. Shi, J. Murakowski, and D. W. Prather, “Effective index method in modeling of high index contrast planar photonic crystals,” Proc. SPIE, vol. 5360, pp. 390-399, 2004.
10. S. Shi, C. Chen, and D. W. Prather, “Plane-wave expansion method for calculating band structure of photonic crystal slabs with perfectly matched layers,” J. Opt. Soc. Am. A, vol. 21, no. 9, pp. 1769-1775, Sep. 2004.
11. S. Shi, C. Chen, and D. W. Prather, “Revised plane wave method for dispersive material and its application to band structure calculations of photonic crystal slabs,” Appl. Phys. Lett., vol. 86, pp. 043104, Jan. 2005.
12. L. C. Adreani and D. Gerace, “Photonic-crystal slabs with a triangular holes investigated using a guided-mode expansion method,” Phys. Rev. B, vol. 73, pp. 235114, Jun. 2006.
13. R. L. Chern, C. C. Chang, C. C. Chang, and R. R. Hwang, “Large full band gaps for photonic crystals in two dimensions computed by an inverse method with multigrid acceleration,” Phys. Rev. E, vol. 68, pp. 026704, Aug. 2003.
14. L. Shen, A. Ye, and S. He, “Design of two dimensional photonic crystals with large absolute band gaps using a genetic algorithm,” Phys. Rev. B, vol. 68, pp. 035109, Jul. 2003.
15. L. Shen, A. Ye, S. He, and S. Xiao, “Large absolute band gaps in two-dimensioal photonic crystals formed by large dielectric pixels,” Phys. Rev. B, vol. 66, pp. 165315, Oct. 2002.
16. S. G. Johnson, P. R. Villeneuve, S. Fan, and J. D. Joannopoulos, “Linear waveguides in photonic-crystal slabs,” Phys. Rev. B, vol. 62, no. 12, pp. 8212-8222, Sep. 2000.
17. K. Kiyota, T. Kise, and N. Yokouchi, “Various low group velocity effects in photonic crystal line defect waveguides and their demonstration by laser oscillation,” Appl. Phys. Lett., vol. 88, pp. 201904, May 2006.
18. L. H. Frandsen, A. V. Lavrinenko, J. F. Pedersen, and P. I. Borel, “Photonic crystal waveguides with semi-slow light and tailored dispersion properties,” Opt. Express, vol. 14, no. 20, pp. 9444-9450, Oct. 2006.
19. T. F. Krauss, “Slow light in photonic crystal waveguides,” J. Phys. D: Appl. Phys., vol. 40, pp. 2666-2670, Apr. 2007.
20. M. Qiu, “Band gap effects in asymmetric photonic crystal slabs,” Phys. Rev. B, vol. 66, pp. 033103, Jul. 2002.
21. S. Kirkpatrick, C. D. Gelatt, Jr., and M. P. Vecchi, “Optimization by simulated annealing,” Science, vol. 220, no. 4598, pp. 671-680, May 1983.
22. W. J. Kim and J. D. O’Brien, “Optimization of a two-dimensional photonic-crystal waveguide branch by simulated annealing and the finite-element method,” J. Opt. Soc. Am. B, vol. 21, no. 2, pp. 289-295, Feb. 2004.
23. Y. K. Liao, Y. W. Kiang, and C. C. Yang, “Synthesis of two-dimensional photonic crystals for large band gaps,” Proc. of SPIE, vol. 6020, pp. 602017, 2005.
24. L. Li, “Use of Fourier series in the analysis of discontinuous periodic structures,” J. Opt. Soc. Am. A, vol.13, no. 9, pp. 1870-1876, Sep. 1996.
25. N. Metropolis, A. Rosenbluth, M. Rosenbluth, A. Teller, and E. Teller, “Equation of state calculations by fast computing machines,” J. Chem. Phys. vol. 21, no. 6, pp. 1087-1092, Jun. 1953.
26. N. Kawai and K. Inoue, “Confined Band Gap in an Air-Bridge Type of Two-Dimensional AlGaAs Photonic Crystal,” Phys. Rev. Lett., vol. 86, no. 11, pp.2289-2292, Mar. 2001.
27. M. Ghebrebrhan, M. Ibanescu, S. G. Johnson, M. Soljaćić, and J. D. Joannopoulos, “Distinguishing zero-group-velocity modes in photonic crystals,” Phys. Rev. A, vol. 76, no. 11, pp. 063810, Dec. 2007.
dc.identifier.urihttp://tdr.lib.ntu.edu.tw/jspui/handle/123456789/40858-
dc.description.abstract我們結合模擬退火法與波導模態展開法來合成光子晶體平板線型波導,使其缺陷模態具有特定的色散特性。我們先合成一個光子晶體平板,使其具有寬光子晶體能帶與特定的能帶位置。以合成的光子晶體平板為基礎,我們進一步合成一個具有特定色散性質的光子晶體平板線型波導。我們討論光在這些合成結構中傳播的色散特性,並且藉由場型分佈來確認線缺陷模態的侷限性質。在論文最後,我們檢驗當移動合成的線缺陷結構時,其色散特性的變化,並探討兩個合成的線型波導之間的耦合。zh_TW
dc.description.abstractThe simulated annealing and the guided-mode expansion methods are used to synthesize a photonic crystal slab line-defect waveguide with its guided modes of designated dispersion properties. We first synthesize a photonic crystal slab of a large photonic band gap and a designated mid-gap frequency. Based on the synthesized photonic crystal slab, a photonic crystal slab line-defect waveguide with a designated dispersion property is then synthesized. Some dispersion properties of synthesized structures are discussed and the related field distributions are illustrated to confirm the confinement of the line-defect modes. In the end of this thesis, we study the change of dispersion properties by shifting the synthesized line-defect structure, and investigate the coupling between two synthesized line-defect waveguides.en
dc.description.provenanceMade available in DSpace on 2021-06-14T17:03:46Z (GMT). No. of bitstreams: 1
ntu-97-R95941084-1.pdf: 4529378 bytes, checksum: 311ea7e33124ffeb2ec2068a7e1e377c (MD5)
Previous issue date: 2008
en
dc.description.tableofcontentsList of Figures
List of Tables
Chapter 1 Introduction 1
Chapter 2 Guided-Mode Expansion Method 4
2.1 Eigenmodes of a uniform dielectric slab 4
2.2 Eigenmodes of a photonic crystal (PhC) slab and guided-mode expansion (GME) method 10
Chapter 3 Simulated Annealing 19
3.1 Simulated annealing 19
3.2 Synthesis of photonic crystals by using simulated annealing 22
Chapter 4 Numerical Results 28
4.1 Band diagrams and convergence properties of the GME method 28
4.2 Synthesis of perfect PhC slabs with large photonic band gaps (PBGs) and designated mid-gap frequencies 31
4.2.1 PhC slab with same claddings 31
4.2.2 PhC slab with different claddings 34
4.3 Synthesis of PhC slab line-defect waveguides with different claddings 35
4.3.1 PhC slab line-defect waveguide with a designated group velocity 36
4.3.2 Related discussions of synthesized PhC slab line-defect waveguides 38
4.3.3 Changing dispersion properties by shifting line-defect structure 42
4.4 Synthesis of PhC slab line-defect waveguides with two defect modes in different frequency ranges of the PBG 43
Chapter 5 Conclusions 74
References 76
dc.language.isoen
dc.subject模擬退火法zh_TW
dc.subject光子晶體zh_TW
dc.subject線型波導zh_TW
dc.subjectline-defect waveguideen
dc.subjectsimulated annealingen
dc.subjectphotonic crystalen
dc.title合成具有特定色散性質的光子晶體平板線型波導zh_TW
dc.titleSynthesis of Photonic Crystal Slab Line-Defect Waveguides with Designated Dispersion Propertiesen
dc.typeThesis
dc.date.schoolyear96-2
dc.description.degree碩士
dc.contributor.oralexamcommittee楊志忠(Chih-Chung Yang),張宏鈞(Hung-Chun Chang),吳育任(Yuh-Renn Wu)
dc.subject.keyword光子晶體,線型波導,模擬退火法,zh_TW
dc.subject.keywordphotonic crystal,line-defect waveguide,simulated annealing,en
dc.relation.page79
dc.rights.note有償授權
dc.date.accepted2008-07-29
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

文件中的檔案:
檔案 大小格式 
ntu-97-1.pdf
  未授權公開取用
4.42 MBAdobe PDF
顯示文件簡單紀錄


系統中的文件,除了特別指名其著作權條款之外,均受到著作權保護,並且保留所有的權利。

社群連結
聯絡資訊
10617臺北市大安區羅斯福路四段1號
No.1 Sec.4, Roosevelt Rd., Taipei, Taiwan, R.O.C. 106
Tel: (02)33662353
Email: ntuetds@ntu.edu.tw
意見箱
相關連結
館藏目錄
國內圖書館整合查詢 MetaCat
臺大學術典藏 NTU Scholars
臺大圖書館數位典藏館
本站聲明
© NTU Library All Rights Reserved