在本論文中我們實際比對了雙核心光纖耦合器與光子晶體光纖耦合器。我們利用嚴謹的馬克斯威爾方程式所建立的表面積分方程法來模擬融燒式光纖耦合器、雙核心光纖耦合器與光子晶體光纖耦合器。我們藉由分析融燒式光纖耦合器的缺點並探討另兩種光纖耦合器的效能與傳播特性來做一個比較。我們發現在相同的核心半徑與距離下，傳統雙核心光纖耦合器的耦合長度是光子晶體光纖的一半，但是頻寬卻能達到七倍之多。因此我們認為在這麼需要大頻寬的通訊網路裡，光子晶體光纖耦合器絕對能充分發會它的特性與長處。

In this thesis, we have compared between dual-core fiber coupler with photonic crystal fiber coupler. From Surface Integral Equation Method derived from Maxwell’s equations, we can simulate tapered fiber coupler, dual-core fiber coupler and photonic crystal fiber coupler. By analyzing the propagating characteristics and performance of these couplers, we hope to discuss between their advantages and dis-advantages. We have found that at the same parameters, conventional fiber coupler’s coupling length is roughly half compared to photonic crystal coupler. In terms of bandwidth, photonic crystal coupler aided by air-hole tuning can achieve multiples times larger than conventional fiber coupler. So, we believe that in communication networks with a lust of bandwidth, photonic crystal coupler can definitely live up its expectations.

第一章 序論………………………………………………………… 1
1.1 研究背景與目的…………………………………………… 1
1.2 歷史回顧…………………………………………………… 4
1.3 論文大綱…………………………………………………… 4

第二章 表面積分方程法…………………………………………… 6
2.1 概論………………………………………………………… 6
2.2 理論推演…………………………………………………… 6
2.3 數值程序…………………………………………………… 10

第三章 2×2光纖耦合器常用參數………………………………… 13
3.1 概論………………………………………………………… 13
3.2 損耗………………………………………………………… 15
3.3 場型分佈…………………………………………………… 16
3.4 耦合功率…………………………………………………… 22
3.5 Birefringence與極化效應之關係……………………… 22
3.6 頻寬………………………………………………………… 24
3.7 結論………………………………………………………… 24

第四章 融燒式光纖耦合器之實作與量測結果…………………… 26
4.1 概述………………………………………………………… 26
4.2 模擬結果…………………………………………………… 28
4.3 光纖耦合融燒機…………………………………………… 41
4.4 製作參數與過量損失之關係……………………………… 48
4.5 雙窗式光纖耦合器停火點方式選擇與製作……………… 51
4.6 結論………………………………………………………… 55

第五章 傳統雙核心光纖耦合器與雙核心光子晶體耦合器之比較 56
5.1 概論………………………………………………………… 56
5.2 雙核心光子晶體耦合器之模擬…………………………… 60
5.3 傳統雙核心光纖耦合器之模擬…………………………… 63
5.4 結論………………………………………………………… 74

第六章 結論………………………………………………………… 76
6.1 總結………………………………………………………… 76

參考文獻……………………………………………………………… 77

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