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利用有限元法分析了包层结构为圆形空气孔呈正方形对称排列的光子晶体光纤(PCF)的有效传输模式,并仿真解析出各波长下有效传输模的有效折射率及变化规律。结合模耦合理论和传输矩阵法,对基于PCF的Bragg光栅(PCFBG)的反射谱特性进行了仿真和分析,并对比了PCF包层不同占空比下的PCFBG反射谱。选择高斯函数对各反射谱进行切趾优化。理论计算和仿真结果证明,各模式有效折射率随着波长的增加而近似线性降低,不同占空比的PCFBG反射谱之间的差异较为明显。在此基础上,可进一步研究正方形包层结构的PCFBG的调谐特性,并应用于可调谐的多通道OADM。
The effective transmission mode of photonic crystal fiber (PCF) whose cladding structure is circularly symmetrical with square air holes is analyzed by finite element method. The effective refractive index and variation law of effective transmission mode at each wavelength are simulated. The reflection spectrum characteristics of PCFBG based on PCF are simulated and analyzed by combining the mode coupling theory and the transfer matrix method. The PCFBG reflection spectra of PCF cladding under different duty cycles are compared. Select the Gaussian function for apodization optimization of each reflection spectrum. Theoretical calculations and simulation results show that the effective refractive index of each mode decreases linearly with increasing wavelength, and the difference between the PCFBG reflectance spectra at different duty cycles is more obvious. On this basis, the tuning characteristics of PCFBG with square cladding structure can be further studied and applied to tunable multi-channel OADM.