本論文為使用Floquet-Bloch理論分析二階多區布拉格光纖光柵,主要為設計並模擬出與實驗結果相似的頻譜圖型。將本實驗室所使用的單模光纖光柵於實驗中得出之實驗數據,將其進行分析求出模擬中所需使用的結構參數並帶入到本實驗室開發出的Floquet-Bloch Theory模擬程式進行模擬重新設計,回推其折射率以及各部分的光柵長度與能量大小和折射率變化,再與實驗結果進行比對,比較不同原因。於比對後發現,將前3大的nσ區域模擬進行參數調整,就能夠模擬出與實驗相近的數據。
This thesis uses Floquet-Bloch theory to analyze the second-order multi-section fiber Bragg gratings, mainly to design and simulate the experimental spectrum. By varying parameters of fiber Bragg gratings, we obtain the relative transmission and reflection spectrum. Those results are used to simulation the experimental spectrum. We design the maximum index difference of gratings (nσ) and the grating length (Lc) of each section, and then compare the simulation results with the experimental results. We find that by adjusting the parameters of the first three largest nσ, the simulation spectrum can be matched with the experiment spectrum.