中文摘要：

在分析光纤Bragg光栅Fabry—Pemt（F—P）腔特征的基础上，提出了光纤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，广卵论分析。通过Matlab仿真工具数值模拟光纤Bragg光栅F—P滤波器的光谱，并对其特性进行了详细分析，得出了决定滤波器传输特性的相关参量及其影响规律。根据光纤Bragg光栅F—P腔的相位谐振条件，推导了光纤光栅F—P腔的腔长与光纤Bragg光栅常数之间的关系，从而为研制基于光纤Bragg光栅的F—P滤波器提供了依据。

英文摘要：

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