臺灣博碩士論文加值系統

光子晶體是週期性排列的週期結構，應用的範圍非常廣泛，共振腔即是一個實際的應用，包括一維二維都有許多的應用。本論文中討論的就是將二維光子晶體共振腔變為環型，再去調變填充率以及層數，根據環形光子晶體共振腔的間隔角度去調變光子晶體能帶結構圖，再利用等比例放大的方法增加層數，以得到高品質因子為目的。
　　本論文利用COMSOL模擬軟體5.1版本，並利用電磁波模組以及阻抗邊界去求得特徵值，在特徵值中會取得許多模態圖，選用其中最清晰且最大的品質因子模態圖。本文對TM mode、TE mode分別做分析與判斷，我們發現TM及TE都會有到百萬的品質因子，但也有的填充率只有幾萬的品質因子，可以確定的是在某些層數及填充率的吸收效能是良好的。

Photonic Crystals are periodic dielectric or metal-dielectric structures. These applications are very extensive. Resonant cavity is a very practical application including one-dimensional and two-dimensional. In this paper, we discuss that two - dimensional photonic crystal resonator becomes a ring photonic crystal resonator.
According the band structure of photonic crystal to adjust the angle in each ring between the dielectric cylinder. Changing filling fraction and layers will help us to get high quality factor.
We use Electromagnetic wave module in Comsol simulation software to get eigenvalue. In finding eigenvalues, we choose the most clearly and the biggest Q factor to use. We analysis TE mode and TM mode separately. After comparing two mode, we found that both two modes’s Q factor are up to millions.But some of Q factors are just low to million. It can be known that there have some conditions to get high Q.

中文摘要i
英文摘要 ii
致謝. iii
目錄iv
圖目次vi
表目次. viii
第一章 緒論 .1
1.1 光子晶體簡介 .1
1.2 光子晶體特性 .2
1.3 光子晶體應用 .3
2.1 二維光子晶體之平面波展開法 .4
2.2 品質因子 .8
2.3 光子晶體共振腔 .10
2.4 環形共振腔 .11
第三章 設計說明與研究架構 13
3.1 環形光子晶體共振腔 .13
3.2 COMSOL 模擬設定17
第四章 模擬分析與結果 19
4.1 TM 波之品質因子比較19
4.2 TE 波之品質因子比較.30
4.3 模擬結果與討論39
第五章 結論與未來展望 43
參考文獻.44

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