臺灣博碩士論文加值系統

本論文主要是針對光子晶體光纖耦合器在可見光與紅外光的波段下之耦合模態特性，使用向量邊界元素法(VBEM)進行模擬分析，此耦合器的設計為五個核心，包含中央核心、外圈的四個核心，成功地分析出能量在外圍核心有約25% (6dB)的耦合結果；並且從耦合關係的推導成功地分析出位於輸出端的四種模態，分別有偶模態與奇模態，進而去探討其耦合特性，也成功地算出當波長在1550nm時，最佳的耦合長度為2.1mm，並且推算出正規化能量計算，由模擬出的模態場型圖可發現長波長的時候，場型方向會略為平坦，其原因為長波長能量比短波長還要小，以至於耦合至外圍核心的影響會較小，所以場型才會為平坦狀；由結果的可得知，使用向量邊界元素法可成功模擬在可見光與紅外光波段下傳輸的光子晶體光纖耦合器。

In this paper, we study the photonic crystal fiber coupler coupled modal characteristics under visible light and infrared light band by using the Vector Boundary Element Method (VBEM). The design of coupler have five cores, including a central core and four cores at outside. Successfully analyze the energy about the core periphery 25% (6dB) coupling results. From the coupling relationship, we successfully derive to the four modes, respectively, the even mode and odd modes on the output side. And then, we study the coupling characteristics, and calculate the normalized energy calculation, also successfully calculate the optimum coupling length is 2.1mm at the wavelength is 1550nm.

摘要 I
ABSTRACT II
目錄 III
圖目錄 IV
表目錄 VI
第一章 緒論 1
1.1前言 1
1.2研究動機 3
1.3研究方法 4
1.4論文架構 4
第二章 數值方法 12
2.1 向量邊界元素法 12
2.2 邊界條件 16
2.3 數值程序 17
第三章 模擬結果與分析 23
3.1 光子晶體光纖耦合器模型 23
3.2 耦合關係推導 24
3.3 耦合模態場型 31
3.4 耦合長度 42
3.5 耦合係數 46
3.6 能量計算 46
3.7 數據比較 49
第四章 結論 51
參考文獻 53

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