合成具有特定色散性質的光子晶體平板線型波導

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。

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.