单轴晶体包层光纤Bragg光栅反射谱特性模拟研究

Simulation of reflection spectrum of FBG with uniaxial anisotropic crystal cladding

本文推导了包层为单轴各向异性晶体的光纤理想正规模特征方程,应用中值定理,结合Matlab的数值求解,提出了这一超越方程的一种求解算法,并在此基础上,对包层为单轴各向异性材料的光纤Bragg光栅的反射谱与包层折射率关系进行了模拟分析.模拟结果表明,K_(cl)对反射谱有很大的影响,不同的k_(cl)可以导致不同的光栅反射率和Bragg波长.

In this paper, the ideal normal mode characteristic equation of the optical fiber with uniaxial anisotropic crystal cladding is derived. Using mean value theorem and combining Matlab numerical method, a solving algorithm of this transcendental equation is proposed. Therefore, the relationship between FBG reflect spectrum characteristic and cladding reflective index is simulated. The simulation results show that kcl has a strong influence on the spectrum, different values of kd can lead to different reflectivities and different Bragg wavelengths.