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推导并验证了非啁啾取样光纤布拉格光栅(SFBG)反射谱中反射峰值波长的表达式。基于种子光栅中心波长对应的折射率调制深度和取样光纤布拉格光栅折射率调制函数的傅里叶级数展开式,提炼出取样光纤布拉格光栅的折射率调制深度和各阶光栅周期,从而导出其反射峰值波长的表达式。由于考虑了占空比、取样周期等取样光纤布拉格光栅的结构参量,因而表达式能够描述反射峰的分布。仿真实验中,不同占空比或取样周期下计算出的反射峰值波长、信道间隔符合数值反射谱。该表达式既适用于均匀取样光纤布拉格光栅,也适用于交流切趾和交直流切趾取样光纤布拉格光栅。
The expression of reflection peak wavelength in the reflection spectrum of non-chirped sampled fiber Bragg grating (SFBG) was deduced and verified. Based on the refractive index modulation depth corresponding to the center wavelength of the seed grating and the Fourier series expansion of the refractive index modulation function of the sampled fiber Bragg grating, the refractive index modulation depth and each grating period of the sampled fiber Bragg grating are extracted to derive the reflection Peak wavelength expression. Because of taking into account the structural parameters of sampling fiber Bragg gratings such as duty cycle and sampling period, the expression can describe the distribution of reflection peak. In the simulation experiment, the reflected peak wavelength and the channel interval calculated under different duty cycle or sampling period are in accordance with the numerical reflection spectrum. The expression is suitable for both uniformly sampling fiber Bragg gratings and also for AC apodization and AC-DC apodised sampling fiber Bragg gratings.