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題名 | 以平面波展開法分析光子晶體能帶結構=Plane Wave Expansion Method for Photonic Crystal Band Structure Computations |
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作者姓名(中文) | 廖淑慧; 黃坤賢; 黃照智; | 書刊名 | 中州學報 |
卷期 | 22 民94.12 |
頁次 | 頁209-217 |
分類號 | 448.552 |
關鍵詞 | 光子晶體; 光子能隙; 平面波展開法; Photonic crystal; Photonic band gap; The plane wave expansion method; |
語文 | 中文(Chinese) |
中文摘要 | 光子晶體的主要特色在於所謂的光子能隙─電磁波無法在能隙中傳播。雖然三維的光子晶體被認為是最具應用潛力的,但是二維光子晶體的結構在製程上卻佔有較易製作的優勢,所以在光電元件裝置及相關研究領域上亦廣為使用。我們使用平面渡展開法,分別計算一維和二維光子晶體的能帶結構。根據理論分析的結果,我們發現一維光子晶體無論介電常數差異如何,總是存在著光子能隙。對於二維正方晶格的結構計算,我們發現正方晶格對TM波有能隙,對 TE 波則無。 |
英文摘要 | The major property of photonic crystals is photonic band gap- a frequency reglion where propagating waves are forbidden. Although three dimensional photonic crystals may provide the most potential applications, two dimensional photonic crystals have also been widely studied, since they are much more easier to fabricate, and may be used in optical and electronic system or devices. The plane wave expansion method is used to calculate photonic band gaps for one dimensional and two dimensional structures. According to the theoretical analysis, we find that band gaps always appear in one dimensional photonic crystal for any dielectric contrast. It seems that the smaller the contrast, the smaller the gaps. For the case of two dimensional structures, the square lattices are studied, and we find that the photonic crystal has a complete band gap for the TM modes between the first and the second bands, but not for the TE modes. |
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