簡易檢索 / 詳目顯示

研究生: 王于肇
論文名稱: 含耦合及量子井缺陷層之光子晶體多通道光學濾波器之研究
Photonic Crystal Multichanneled Filters Containing Coupled and Photonic Quantum-well Defects
指導教授: 吳謙讓
Wu, Chien-Jang
李敏鴻
Lee, Min-Hung
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: 2011
畢業學年度: 99
語文別: 英文
論文頁數: 45
中文關鍵詞: photonic crystalsphotonic band gapsphotonic quantum-wellmultiple channeled filtering
英文關鍵詞: photonic crystals, photonic band gaps, photonic quantum-well, multiple channeled filtering
論文種類: 學術論文
相關次數: 點閱:120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
  • In the last two decades, the periodically arranged dielectric structures known as photonic crystals (PCs) have found their potential applications in various optoelectronic devices. The devices make use of the features of photonic band gaps (PBGs) originating from the periodic nature of PCs. When the periodicity is broken by introducing a defect into the PCs, a defect mode will appear inside the photonic bandgap and this is analogous to the electronic impurity state of semiconductors.
    In this thesis, we consider different defective photonic crystals that can work as a multichanneled filter. Three main topics will be involved. The first structure called the impurity band-based photonic quantum well (IBBPQW) is (AB)m(ABAC)nABA(BA)m , where AB denotes the unit cell, C denotes the defect, and the number of defects is n. The IBBPQW can make more effective use of the localization properties of the electromagnetic (EM) field. The IBBPQW structure can be constructed with great freedom since the impurity band is naturally located inside the gap and the bandwidth of the impurity band can be tuned by changing the separation between the defects and the size or refractive indexes of the defects.
    In the second structure, we shall consider the photonic quantum-well as a defect in a host PC, i.e., (AB)m(CD)n(AB)m . If the photonic pass band of the photonic crystal(CD)n is just located into the photonic band gap of the photonic crystal (AB)m, quantized confined photonic states will appear owing to the photonic confinement effects. It is found that the number of the confined states can be tuned by adjusting the number of period of the well region, leading to the phenomena of multiple channeled filtering.
    In the third part, we continue to examine the other condition that the photonic pass band of the photonic crystal (CD)n is partially located into the photonic band gap of the photonic crystal (AB)m. In this case, the number of the confined states can be again tuned by adjusting the number of period of the well region, leading to the phenomena of multiple channeled filtering. However, the number of channels is not the same as the second case. A different design rule will be provided.
    The whole theoretical analysis in this thesis is based on the transfer matrix method which will be given in Chapter 2. Chapter 1 is to give a brief introduction of PCs. Three main topics are given in Chapters 3, 4 and 5, respectively. The conclusion is in Chapter 6.

    In the last two decades, the periodically arranged dielectric structures known as photonic crystals (PCs) have found their potential applications in various optoelectronic devices. The devices make use of the features of photonic band gaps (PBGs) originating from the periodic nature of PCs. When the periodicity is broken by introducing a defect into the PCs, a defect mode will appear inside the photonic bandgap and this is analogous to the electronic impurity state of semiconductors.
    In this thesis, we consider different defective photonic crystals that can work as a multichanneled filter. Three main topics will be involved. The first structure called the impurity band-based photonic quantum well (IBBPQW) is (AB)m(ABAC)nABA(BA)m , where AB denotes the unit cell, C denotes the defect, and the number of defects is n. The IBBPQW can make more effective use of the localization properties of the electromagnetic (EM) field. The IBBPQW structure can be constructed with great freedom since the impurity band is naturally located inside the gap and the bandwidth of the impurity band can be tuned by changing the separation between the defects and the size or refractive indexes of the defects.
    In the second structure, we shall consider the photonic quantum-well as a defect in a host PC, i.e., (AB)m(CD)n(AB)m . If the photonic pass band of the photonic crystal(CD)n is just located into the photonic band gap of the photonic crystal (AB)m, quantized confined photonic states will appear owing to the photonic confinement effects. It is found that the number of the confined states can be tuned by adjusting the number of period of the well region, leading to the phenomena of multiple channeled filtering.
    In the third part, we continue to examine the other condition that the photonic pass band of the photonic crystal (CD)n is partially located into the photonic band gap of the photonic crystal (AB)m. In this case, the number of the confined states can be again tuned by adjusting the number of period of the well region, leading to the phenomena of multiple channeled filtering. However, the number of channels is not the same as the second case. A different design rule will be provided.
    The whole theoretical analysis in this thesis is based on the transfer matrix method which will be given in Chapter 2. Chapter 1 is to give a brief introduction of PCs. Three main topics are given in Chapters 3, 4 and 5, respectively. The conclusion is in Chapter 6.

    Abstract Ⅰ Acknowledgement Ⅲ Contents Ⅳ Chapter 1 Introduction 1-1 Literature Review 1 1-2 Motivations and Applications of PCs 2 1-3 Thesis Overview 3 Chapter 2 Theoretical Methods 2-1 Transfer Matrix Method (TMM) 4 2-2 Dynamical Matrix of a Medium 4 2-3 A Single Slab 7 2-4 Matrix Formulation for Multilayer System 10 2-5 Transmittance and Reflectance 12 Chapter 3 Filtering Properties in a Photonic Crystal Containing Coupled Defects 3-1 Introduction 13 3-2 Basic Equations 16 3-3 Numerical Results and Discussion 18 3-4 Conclusion 25 Chapter 4 A Multichanneled Filter Based on the Photonic Quantum-Well Structures (I) 4-1 Introduction 27 4-2 A Design of PQW Structure 27 4-3 Numerical Results and Discussion 28 4-4 Conclusion 33 Chapter 5 A Multichanneled Filter Based on the Photonic Quantum-Well Structures (II) 5-1 Introduction 34 5-2 Design Parameters 34 5-3 Numerical Results and Discussion 35 5-4 Conclusion 41 Chapter 6 Conclusions 42 References 43

    1. H. T. Jiang, H. Chen, N. H. Liu, and S. Y. Zhu, “Engineering photonic crystal impurity bands for multiple channelled optical switches,” Chin. Phys. Lett. 21, 101-103 (2004).
    2. E. Yablonovitch, “Inhibited spontaneous emission in solid state physics and electronics,” Phys. Rev. Lett. 58, 2059-2062 (1987).
    3. S. John, “Strong localization of photons in certain disordered lattices,” Phys. Rev. Lett. 58, 2486-2489 (1987).
    4. J. D. Joannopoulos, R. D. Meade, and J. N. Winn, “Photonic crystals: molding the flow of light,” Princeton University Press, Princeton, NJ (1995).
    5. G. Guida, A. de Lustrac, and A. Priou, “An introduction to photonic band gap (PBG) materials,” Prog. In Electroman. Res. 41, 1-20 (2003).
    6. W. H. Lin, C. J. Wu, T. J. Yang, and S. J. Chang, “Terahertz multichanneled filter in a superconducting photonic crystal”, Optics Express 18, 27155-27166 (2010).
    7. W. Shen, X. Sun, Y. Zhang, Z. Luo, X. Liu, and P. Gu, “Narrow band filter in both transmission and reflection with metal/dielectric thin films,” Optics Commun. 282, 242-246 (2009).
    8. X. Z. Sun, P. F. Gu, W. D. Shen, X. Liu, Y. Wang, and Y. G. Zhang, “Design and fabrication of a novel reflection filter,” Appl. Opt. 46, 2899-2902 (2007).
    9. Y. H. Ye, J. Ding, D. Y. Jeong, I. C. Khoo, and Q. M. Zhang, “Finite-size effect on one-dimensional coupled-resonator optical waveguide,” Phys. Rev. E 69, 056604 (2004).
    10. R. L. Nelson, and J. W. Haus, “One-dimensional photonic crystals in reflection geometry for optical applications,” Appl. Phys. Lett. 83, 1089-1091 (2003).
    11. Y. Fink, J. N. Winn, S. Fan, C. Chen, J. Michel, J. D. Joannopoulos, and L. E. Thomas, “A dielectric omnidirectional reflector,” Science 282, 1679-1682(1998).
    12. S. J. Orfanidis, “Electromagnetic Waves and Antennas,” Rutger University (2008).
    13. D. R. Smith, R. Dalichaouch, N. Kroll, S. Schultz, S. L. McCall, and P. M. Platzman, “Photonic band structure without and with defect in one-dimensional photonic crystal,” J. Opt. Soc. Am. B 10, 314-321 (1993).
    14. C. J. Wu and Z. H. Wang, “Properties of defect modes in one-dimensional photonic crystals,” Prog. In Electromagn. Res. 103, 169-184 (2010).
    15. F. Qiao, C. Zhang, and J. Wan, “Photonic quantum-well structures: Multiple channeled filtering phenomena,” Appl. Phys. Lett. 77, 3698-3700 (2000).
    16. J. Liu, J. Sun, C. Huang, W. Hu, and D. Huang, “Optimizing the spectral efficiency of photonic quantum well structures,” Optik 120, 35-39 (2009).
    17. J. Liu, J. Sun, C. Huang, W. Hu, and M. Chen, “Improvement of spectral efficiency based on spectral splitting in photonic quantum-well structures,” IET Optoelectron. 2, 122-127 (2008).
    18. C. S. Feng, L. M. Mei, L. Z. Cai, P. Li, and X. L. Yang, “Resonant modes in quantum well structure of photonic crystals with different lattice constants,” Solid State Commun. 135, 330-334 (2005).
    19. S. Haxha, W. Belhadj, F. Abdelmalek, and H. Bouchriha, “Analysis of wavelength demultiplexer based on photonic crystals,” IEE Proc. Optoelectron. 152, 193-198 (2005).
    20. P. Yeh, “Optical Waves in Layered Media,” John Wiley & Sons, Singapore (1991).

    無法下載圖示 本全文未授權公開
    QR CODE