光纖光柵在布拉格條件下之特性模擬

Modeling of Fiber Gratings in Bragg Condition

劉毓瑋(Yu-Wei Liu)

指導教授 ： 孫迺翔

共同指導教授 ： 周志城(Chih-Cheng Chou)

義守大學/電機資訊學院/電機工程學系/碩士(2015年)

摘要

本論文之研究是一階與二階布拉格光纖光柵模擬，我們使用Floquet-Bloch理論去分析布拉格光纖光柵，以Floquet-Bloch的形式能夠嚴格的求解出光纖光柵的傳播常數和場分布，然後考慮光柵區與無光柵區之間的不連續邊界，我們使用Mahmoud-Beal’s方法計算出傳輸效率與反射效率，再取n=-1 的諧波去計算輻射效率，綜合上述方法便可以得到布拉格光纖光柵的頻譜，在一階布拉格的部分，我們比較了FBT與CMT差異，在二階布拉格的部分，我們有兩組實驗結果並且嘗試由模擬去符合實驗的結果，而我們使用矩形光柵並且改變duty cycle來模擬出與實驗相近的結果。

關鍵字

Floquet-Bloch理論 ； 布拉格光纖光柵

並列摘要

This study is modeling of first and second order Fiber Bragg Gratings in this paper, we use the Floquet-Bloch Theory to analyze Fiber Bragg Gratings, the Floquet-Bloch formalism can rigorously solve to propagation constant and field distribution, and then consider the discontinuous interface between the grating region and non-grating region, we use the Mahmoud-Beal’s method to calculate transmission efficiency and reflection efficiency, and take the n=-1 harmonic to calculate the radiation efficiency, sum above method can obtain the Fiber Bragg Gratings spectrum, in first Bragg part, we compare difference of FBT and CMT, in second Bragg part, we have two experiment results and try to match experiment results with simulation, and we use rectangular grating and change the duty cycle to simulate experiment results.

並列關鍵字

Floquet-Bloch Theory ； Fiber Bragg Gratings

參考文獻

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