本篇論文介紹了光纖布拉格光柵的製作方式，並且針對不同規格分別為50/125-200和62.5/125-275的多模梯度折射係數光纖所產生的光纖布拉格光柵，利用單模光纖熔接多模光纖的方式量測其反射頻譜，探討反射特性，經過理論證明可以發現反射頻譜皆與多模梯度折射係數光纖中的主要模態(Principle mode)相關，其中主要模態則與各個模態的有效折射係數相關，且當選用之相位光罩相同時，對於不同規格之多模梯度折射係數光纖其布拉格光柵所造成的反射波長會不相同。另外透過有限差分法求得出光纖模態的有效折射係數，配合轉換矩陣法進而模擬出不同種類之多模光纖布拉格光柵其反射頻譜。最後則使用多模梯度折射係數光纖布拉格光柵與輸出已使用多模階變折射係數光纖做延長之雷射二極體，探討多模光纖布拉格光柵穩定雷射二極體波長之可能性。

This thesis is to introduce the fabrication and characteristics study of fiber Bragg gratings on graded-index fibers with different specifications of 50/125-200 and 62.5/125-275 respectively. The reflection spectrum is measured by the Single-mode to Multimode structure. By the theory, Reflection spectrum is related to the principle mode in the multimode graded-index fiber, and the principle mode is related to the effective refractive index of mode. When the selection of phase mask is same, Bragg reflection wavelength caused by the different types of GRIN fiber will be different. In addition, the effective refractive index of mode is obtained through the Finite-difference method, and the reflection spectrum of different types of graded-index multimode fiber Bragg gratings is simulated by the Transfer-matrix method. Finally, the graded-index multimode fiber Bragg gratings will be used on the laser diode which its output has been extended by step-index multimode fiber. The possibility that graded-index multimode fiber Bragg grating stabilized wavelength of the laser diode is explored.

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