Analysis methods for integrated optics and their applications to pillbox resonator as a wavelength selective filter 光集積回路の解析法とその波長選択フィルタとしてのピルボックス共振器への応用

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著者

    • Anis Ahmed アニス アーメッド

書誌事項

タイトル

Analysis methods for integrated optics and their applications to pillbox resonator as a wavelength selective filter

タイトル別名

光集積回路の解析法とその波長選択フィルタとしてのピルボックス共振器への応用

著者名

Anis Ahmed

著者別名

アニス アーメッド

学位授与大学

岡山大学

取得学位

博士 (学術)

学位授与番号

甲第1512号

学位授与年月日

1996-03-25

注記・抄録

博士論文

目次

  1. Contents / p7 (0005.jp2)
  2. Acknowledgments / p5 (0004.jp2)
  3. Abstract / p6 (0005.jp2)
  4. Contents / p7 (0005.jp2)
  5. List of Figures / p10 (0007.jp2)
  6. List of Tables / p14 (0009.jp2)
  7. List of Symbols / p15 (0009.jp2)
  8. 1 General Introduction / p1 (0011.jp2)
  9. 1.1 Brief History of Integrated Optics / p1 (0011.jp2)
  10. 1.2 Aim of the Present Research / p2 (0012.jp2)
  11. 1.3 Organization of the Thesis / p5 (0013.jp2)
  12. 2 Eigenmode Analysis of Dielectric Waveguides Utilizing the FFT-BPM Formulation / p7 (0014.jp2)
  13. 2.1 Introduction / p7 (0014.jp2)
  14. 2.2 Derivation of the Eigenvalue Equation / p8 (0015.jp2)
  15. 2.3 Numerical Examples / p13 (0017.jp2)
  16. 2.4 Conclusions / p18 (0020.jp2)
  17. 3 Analytical Solution of the Pillbox Resonator Modes / p19 (0020.jp2)
  18. 3.1 Introduction / p19 (0020.jp2)
  19. 3.2 Whispering Gallery Modes of the Pillbox Resonator / p20 (0021.jp2)
  20. 3.3 Modal Caustic of the WGMs / p21 (0021.jp2)
  21. 3.4 Method of Analysis of Pillbox Resonator / p25 (0023.jp2)
  22. 3.5 Numerical Results / p28 (0025.jp2)
  23. 3.6 Conclusions / p36 (0029.jp2)
  24. 4 Eigenmode Analysis of Lossless Pillbox Resonator Using the FE-BPM formulation / p37 (0029.jp2)
  25. 4.1 Introduction / p37 (0029.jp2)
  26. 4.2 Method of Analysis / p38 (0030.jp2)
  27. 4.3 Numerical Results / p44 (0033.jp2)
  28. 4.4 Conclusions / p50 (0036.jp2)
  29. 5 Analysis of Pillbox Resonator with Radiation Loss Using FE-BPM Formulation / p51 (0036.jp2)
  30. 5.1 Introduction / p51 (0036.jp2)
  31. 5.2 Method of Analysis / p52 (0037.jp2)
  32. 5.3 Numerical Results / p57 (0039.jp2)
  33. 5.4 Conclusions / p60 (0041.jp2)
  34. 6 Coupling Characteristics of a Coupled Structure Formed by a Pillbox Resonator and Two Curved Waveguides / p61 (0041.jp2)
  35. 6.1 Introduction / p61 (0041.jp2)
  36. 6.2 Analysis of Uniformly Coupled Region / p63 (0042.jp2)
  37. 6.3 CMEs in Cylindrical Coordinate System / p64 (0043.jp2)
  38. 6.4 Power Transfer Characteristics of the Coupled Structure / p68 (0045.jp2)
  39. 6.5 Numerical Results / p72 (0047.jp2)
  40. 6.6 Conclusions / p79 (0050.jp2)
  41. 7 Resonant Characteristics of a Coupled Structure / p81 (0051.jp2)
  42. 7.1 Introduction / p81 (0051.jp2)
  43. 7.2 Block Diagram of the Coupled Structure to show the field variation / p82 (0052.jp2)
  44. 7.3 Derivation of S Matrix for Each Region / p84 (0053.jp2)
  45. 7.4 Calculation of S Matrix in Transition Region / p87 (0054.jp2)
  46. 7.5 Calculation of S Matrix in Mode Conversion Region / p90 (0056.jp2)
  47. 7.6 Numerical Results / p92 (0057.jp2)
  48. 7.7 Conclusions / p95 (0058.jp2)
  49. 8 Proposal for a New Type of Optical Wavelength-Selective Filter Utilizing Multiple Coupled Structures / p97 (0059.jp2)
  50. 8.1 Introduction / p97 (0059.jp2)
  51. 8.2 Working Principle of the New Optical Filter / p97 (0059.jp2)
  52. 8.3 Numerical Results / p100 (0061.jp2)
  53. 8.4 Conclusions / p104 (0063.jp2)
  54. 9 Summary and Conclusions / p105 (0063.jp2)
  55. 10 Appendixes / p111 (0066.jp2)
  56. A Asymptotic Expansion of Cylindrical Function for Large Order and Large Argument / p111 (0066.jp2)
  57. B Conformal Transformation(CT)and Ray Approximation Method(RAM) / p115 (0068.jp2)
  58. B.1 CT-RAM for Pillbox Resonator / p115 (0068.jp2)
  59. B.2 CT-RAM for a Ring Resonator / p119 (0070.jp2)
  60. C Detail Calculation of Matrices A and B / p123 (0072.jp2)
  61. C.1 Shape Fuction / p123 (0072.jp2)
  62. C.2 Calculation of Elements of matrix A / p124 (0073.jp2)
  63. C.3 Calculation of Elements of matrix B / p126 (0074.jp2)
  64. D Coupled Mode Equation in Cylindrical Coordinate System / p131 (0076.jp2)
  65. D.1 Complex Field Amplitudes of Coupled Structure / p131 (0076.jp2)
  66. D.2 Transmission Matrix of Coupled Structure / p134 (0078.jp2)
  67. D.3 Maximum Power Transfer Factor F / p137 (0079.jp2)
  68. D.4 Transmission Matrix in terms of F / p139 (0080.jp2)
  69. E The Combined Scattering Matrix of the Coupled Structure / p141 (0081.jp2)
  70. References / p147 (0084.jp2)
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各種コード

  • NII論文ID(NAID)
    500000130785
  • NII著者ID(NRID)
    • 8000000131056
  • DOI(NDL)
  • 本文言語コード
    • jpn
  • NDL書誌ID
    • 000000295099
  • データ提供元
    • 機関リポジトリ
    • NDL ONLINE
    • NDLデジタルコレクション

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