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中文摘要：
采用耦合模理论（CMT）与传输矩阵法（TMM）相结合的方法分析复杂结构的光纤布拉格光栅（FBG）的谱特性。对FBG的CMT进行简化处理，将叠印FBG（SIFBG）的相移项和啁啾项进行合并，得到了简洁准确的SIFBG折射率调制表达式，进而利用TMM对均匀叠印、同啁啾叠印、不同啁啾叠印与同啁啾多次叠印4种结构的FBG的进行了分析与计算，得到了其谱特性，并研究了4种叠印光栅的基本特点与应用。对均匀叠印与同啁啾叠印光栅进行了实际制作与测量，结果与理论基本相符，验证了本文方法的有效性。
英文摘要：
The combination of coupled mode theory （CMT） and transmission matrix method （TMM） is a common tool for analyzing complex fiber Bragg grating （FBG） spectra. The CMT is modified by combining phase and chirp distributions of superimposed FBG （SIFBG）. Precise and simple refractive index modulation expression of SIFBG is obtained. With the help of TMM, the spectrum characteristics of uniform,same chirped,different chirped and multiple same chirped SIFBGs are obtained with the above results. The applications of SIFBGs are generalized briefly. Uniform and same chirped SIFBGs are fabricated and measured. The experiment results basically match with the simulations, which proves the validity of this method.
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