江衍偉Kiang, Yean-Woei臺灣大學:光電工程學研究所林俊安Lin, Chun-AnChun-AnLin2010-07-012018-07-052010-07-012018-07-052008U0001-2707200800591700http://ntur.lib.ntu.edu.tw//handle/246246/188433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。The 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.List of Figuresist of Tableshapter 1 Introduction 1hapter 2 Guided-Mode Expansion Method 4.1 Eigenmodes of a uniform dielectric slab 4.2 Eigenmodes of a photonic crystal (PhC) slab and guided-mode expansion (GME) method 10hapter 3 Simulated Annealing 19.1 Simulated annealing 19.2 Synthesis of photonic crystals by using simulated annealing 22hapter 4 Numerical Results 28.1 Band diagrams and convergence properties of the GME method 28.2 Synthesis of perfect PhC slabs with large photonic band gaps (PBGs) and designated mid-gap frequencies 31.2.1 PhC slab with same claddings 31.2.2 PhC slab with different claddings 34.3 Synthesis of PhC slab line-defect waveguides with different claddings 35.3.1 PhC slab line-defect waveguide with a designated group velocity 36.3.2 Related discussions of synthesized PhC slab line-defect waveguides 38.3.3 Changing dispersion properties by shifting line-defect structure 42.4 Synthesis of PhC slab line-defect waveguides with two defect modes in different frequency ranges of the PBG 43hapter 5 Conclusions 74eferences 764529378 bytesapplication/pdfen-US光子晶體線型波導模擬退火法photonic crystalline-defect waveguidesimulated annealingthesishttp://ntur.lib.ntu.edu.tw/bitstream/246246/188433/1/ntu-97-R95941084-1.pdf