【摘要】 在电磁场理论基础上建立了光纤光栅孤子的矩阵传递函数进行理论分析。基于电磁场理论建立了光纤光栅中的孤子的光波传播电磁波模型,并用光波的复振幅矢量表达式描述,利用Cayley-Hamilton定理和第二类切比雪夫多项式进行化简计算。基于此数学模型的光栅反射率和透射率的数学分析,从理论上得到关于长短周期光栅和深浅度调制光栅的特性分析,并得到光栅初始位置的向前向后电场幅值差对终端孤子的电场分布的影响。此方法对进一步分析非线性光纤光栅的特性和多种形式的光纤光栅的制作有通用价值。更多还原

【Abstract】 A theory analysis of fiber grating soliton was implemented using the matrix transfer function based on the principle of electromagnetic field and electromagnetic wave. The electromagnetic model of light wave of fiber grating soliton was established and described by the vector expression with complex amplitude. The Cayley-Hamilton theorem and Chebychev polynomial of the second kind were used to compute and prove the model. The reflectivity and transmissivity based on the matrix transfer function were emulated to get the analysis on characteristics of fiber long(short)-period grating and deep(light)- modulation grating, and the difference between the forward wave propagation and the backward wave propagation on initial grating has an impact on the electromagnetic wave of grating soliton on terminal grating. It is a common value to analyze the characteristic of nonlinear fiber grating and the diversified fabrication of fiber grating.更多还原