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中文摘要：
对光纤布拉格光栅（FBG）阶梯型折射率分布进行傅里叶级数展开,分析了光纤中阶梯型折射率分布与正弦型折射率分布的关系,从而证明了用阶梯型折射率分布近似正弦型折射率分布方法的合理性。利用Rouard方法,数值分析了腔长为亚微米量级的光纤法布里-珀罗（F-P）腔级联的光谱特性。在光纤F-P腔双光束近似基础上,推导出光腔级联反射光强的近似表达式;定量分析了级联光腔个数不同时反射谱的特性。从光腔级联的角度,提出了一种简捷实用的光纤布拉格光栅的分析方法,阐述了光纤布拉格光栅机理及其成栅过程。
英文摘要：
Refractive distribution in fiber Bragg grating（FBG） is expanded by Fourier series.The relation between step index profile and sinusoidal distribution is analyzed,and it is reasonable for using step index profile distribution to do the calculation.Rouard numeric method is used to analyze transmission spectrum of the cascaded Fabry-Pérot（F-P） cavities with length about sub-micron level.Based on two-beam optical interference approach,the characteristics of the cascaded fiber cavity and the connection between F-P cavity and FBG are given.An advisable method is proposed in which FBG can result from the cascade of fiber cavities,and basic principle of the FBG is established by utilizing the cascaded F-P cavity approach.
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