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中文摘要：
通过对光纤光栅折射率调制进行傅里叶变换,推导出适用于非均匀栅格分布和调制深度的耦合模方程。从频谱分析的角度,提出一种适用于分析非均匀超长周期光纤光栅（ULPFG）的新方法,新方法指出非均匀超长周期光纤光栅可以等效为不同周期光栅效果的叠加。经数值模拟和实验刻制对照表明,这种基于频谱的分析方法在分析光栅栅格数、啁啾大小等因素对光纤光栅频谱的影响以及光谱中某一位置对应多个谐振峰的现象具有明显的优势。
英文摘要：
Based on the Fourier transforming of fiber grating refractive index modulation,a new analysis method is proposed from the spectral analysis,which is suitable for non-uniform ultra-long-period fiber grating（ULPFG）.Also the coupled-mode equations are derieved for the non-uniform grid distribution and modulate depth.The method points out that the non-uniform ULPFG can be equivalent to the superposition of different uniform gratings.Numerical simulation and experiment about a non-uniform ULPFG indicated that this method,based on spectrum analysis,has an obvious advantages to analyze： 1） the effection on spectrum impacted by the grid number or the chirp size;2） the phenomenon that one location with multiple resonance peaks.
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