基于光纤光栅的Fabry-Perot滤波器特性的研究

Study on Characteristics of Fabry-Perot Filter Based on Fiber Bragg Grating

在分析光纤Bragg光栅Fabry-Perot(F-P)腔特征的基础上,提出光纤Bragg光栅F-P滤波器的数学模型。利用传输矩阵法对光纤Bragg光栅F-P腔进行了理论分析。通过Matlab仿真工具数值模拟了光纤Bragg光栅F-P滤波器的光谱,并对其特性进行了详细分析,得出了决定滤波器光谱特性的有关参量及其影响规律。根据光纤光栅F-P腔的相位谐振条件,推导了光纤光栅F-P腔腔长与光纤光栅常数之间的关系,从而为基于光纤Bragg光栅的F-P滤波器的实际制作提供了依据。

Based on the analysis of its cavity characteristics, a mathematic model is presented for fiber Bragg grating Fabry-Perot filter. Theoretical analysis is made using the method of transfer matrix for fiber Bragg grating Fabry-Perot cavity. The spectrums of the filter are simulated and analyzed in detail by Matlab software, and the effect and their relationship between the spectrum feature of the filter and its relating parameters are elucidated out. According to the condition of phase resonance of the cavity,the relationship between fiber grating period and cavity length for fiber grating Fabry-Perot cavity has been deduced, which provides a basis for the practical facture of Fabry-Perot filters based on fiber Bragg grating.