臺灣博碩士論文加值系統

本論文探討在光柵介電質波導結構中，光波傳遞遭遇不連續界面所產生的反射、傳輸與輻射之情形。我們分為順向耦合與逆向耦合兩方面討論：在順向耦合方面，我們針對光柵輔助順向耦合器(GADC)的能量傳輸做分析；而在逆向耦合方面，我們則在First Bragg與Second Bragg Condition的能量反射、傳輸與輻射做了分析。在分析方法的選擇上，我們選擇Floquet-Bloch理論作為分析光柵區的方法，且以Mahmoud-Beal’s方法分析波導間的不連續界面。結果顯示，在順向耦合分析方面，能量遭遇不連續界面所產生的反射能量非常微小，而在逆向耦合分析方面，因順向波與逆向波的耦合反應，在First Bragg與Second Bragg均有明顯的反射能量，且其反射能量隨光柵高度與光柵區長度的增加而增加，而在Second Bragg時，能量在光柵區中還會有輻射損失的產生，而且輻射損失之值遠大於耦合反應之值。

In this thesis we discuss the properties of the transmission, reflection, and radiation loss when the light propagates in the periodic waveguide structure. Both the co-directional coupling and contra-directional coupling are analyzed. For the co-directional coupling, the transmission and reflection power are studied; whereas for the contra-directional coupling, we present the transmission, the reflection, and the radiation loss in the first-Bragg and the second-Bragg conditions. We use the Floquet-Bloch theory to analyze the grating structure and use the Mahmoud-Beal’s method to calculate the properties of the discontinuity. The results of the co-directional coupling show that the reflection power is very small at the interface between the dielectric waveguide and the periodic structure; whereas most of the power transmit through the discontinuous interface. For the contra-directional coupling, a significant reflection power occurs in the first-Bragg. Also, the reflection power increases with the increased tooth heights and the length of the grating region. Moreover, in the second-Bragg, the radiation loss is larger than the reflection in the attenuation.

中文摘要………………………………………………………………i
英文摘要………………………………………………………………ii
誌謝……………………………………………………………………iii
目錄……………………………………………………………………iv
圖目錄…………………………………………………………………vi
表目錄…………………………………………………………………ix
第一章 緒論…………………………………………………………1
1-1 前言………………………………………………………………1
1-2 研究動機與背景…………………………………………………2
1-3 論文架構概述……………………………………………………7
第二章 順向耦合模式理論…………………………………………8
2-1 雙層結構單一不連續界面介電質波導之分析…………………8
2-1-1 單一模態重疊積分求解………………………………………8
2-1-2 二模態重疊積分求解…………………………………………11
2-1-3 多模態重疊積分求解…………………………………………13
2-2 三層結構雙層不連續界面光柵介電質波導之分析……………16
2-2-1 單一模態重疊積分求解………………………………………16
2-2-2 二模態重疊積分求解…………………………………………19
2-2-3 多模態重疊積分求解…………………………………………22
第三章 逆向耦合模式理論…………………………………………26
3-1 逆向耦合光柵介電質波導之分析………………………………26
3-2 逆向耦合之重疊積分……………………………………………32
3-3 傳輸能量、反射能量……………………………………………34
3-4 輻射損失…………………………………………………………37
第四章 順向耦合模式理論分析光柵介電質波導…………………43
4-1 單一不連續界面光柵介電質波導………………………………43
4-2 二個不連續界面光柵介電質波導………………………………54
第五章 逆向耦合模式理論分析光柵介電質波導…………………79
5-1 在First Bragg 傳播能量與反射能量之分析…………………79
5-2 在Second Bragg 傳播能量與反射能量之分析……………… 92
第六章 結論…………………………………………………………116
參考文獻………………………………………………………………118

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