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研究生： 林煥淳
Huan-Chuen LIN
論文名稱： 一維半導體及介電質光子晶體若干問題之研究
Some Issues on One-dimensional Semiconductor-dielectric Photonic Crystal
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： 2011
畢業學年度： 99
語文別： 中文
論文頁數： 50
中文關鍵詞： 光子晶體
英文關鍵詞： photonic
論文種類： 學術論文
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    • In the past two decades, a fluid of research on the photonic crystals (PCs) has been triggered. PCs are artificially periodic structures and they possess come photonic band gaps (PBGs) where electromagnetic waves cannot propagate when the frequencies of waves are falling the PBGs. The study of basic structure of PBG can provide much important information that could be useful in the applications of PCs. In this thesis, we have studied three topics on the PBGs of specific PCs. The first one is to study the photonic band structure in a semiconductor-organic PC operating at UV frequency. The UV PBG structure has been investigated as a function of the loss, angle of incidence in TE and TM polarizations. The PBG can be enhanced by a ternary PC where metallic layer is sandwiched by the semiconductor and organic layers.
    The second part is to study the resonant tunneling under the condition where the evanescent waves are present. This tunneling phenomenon is seen a dielectric-dielectric PC. The results show that such a PC can be used to design a multichanneled filter, which could be of technical use in the optical electronics.
    The third part is to study the omnidirectional properties in a semiconductor-dielectric PC containing the thermally sensitive semiconductor InSb. Since the permittivity of InSb is a strong function of temperature, tunable photonic band structure will be investigated in this work.

    In the past two decades, a fluid of research on the photonic crystals (PCs) has been triggered. PCs are artificially periodic structures and they possess come photonic band gaps (PBGs) where electromagnetic waves cannot propagate when the frequencies of waves are falling the PBGs. The study of basic structure of PBG can provide much important information that could be useful in the applications of PCs. In this thesis, we have studied three topics on the PBGs of specific PCs. The first one is to study the photonic band structure in a semiconductor-organic PC operating at UV frequency. The UV PBG structure has been investigated as a function of the loss, angle of incidence in TE and TM polarizations. The PBG can be enhanced by a ternary PC where metallic layer is sandwiched by the semiconductor and organic layers.
    The second part is to study the resonant tunneling under the condition where the evanescent waves are present. This tunneling phenomenon is seen a dielectric-dielectric PC. The results show that such a PC can be used to design a multichanneled filter, which could be of technical use in the optical electronics.
    The third part is to study the omnidirectional properties in a semiconductor-dielectric PC containing the thermally sensitive semiconductor InSb. Since the permittivity of InSb is a strong function of temperature, tunable photonic band structure will be investigated in this work.

    Abstract i Acknowledgement ii Contents iii Chapter 1 Introduction 1-1 Photonic Crystal 1 1-2 Topics in This Thesis 2 Chapter 2 Theoretical Methods 2-1 Transfer Matrix Method (TMM) 4 2-2 Dynamical Matrix of a Medium ----A Single-Boundary Problem 4 2-3 A Single Slab---Two-Boundary Problem 7 2-4 Matrix Formulation for Multilayer System 10 2-5 Transmittance and reflectance 13 Chapter 3 Investigation of Photonic Band Gap in a Semiconductor-Organic Photonic Crystal in Ultraviolet Region 3-1 Introduction 15 3-2 Model Structure and Transfer Matrix Method 16 3-3 Numerical Results and Discussion 18 3-4 Conclusion 23 Chapter 4 Unusual transmission through usual one-dimensional photonic crystal in the presence of evanescent wave 4-1 introduction 25 4-2 Basic equations 25 4-3 Numerical results and discussion 27 4-4 Conclusion 31 Chapter 5 Band gap extension in tunable photonic band gap for a doped semiconductor photonic crystal and omnidirectional band in near infrared region 5-1 introduction 33 5-2 Basic equations 34 5-3 Numerical results and discussion 37 5-4 Conclusion 44 Chapter 6 Conclusions 45 References 46

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