任意多包层光纤模场的数值解法  

Numerical Solution of Mode Field of Optical Fiber with Any Multiple Packet Layers

作　　者：夏涛[1] 郭红利[1] 陈根祥[2] 

机构地区：[1]国家广播电影电视总局491电台,北京100121 [2]北京交通大学电子信息工程学院光波所,北京100044

出　　处：《光子学报》2010年第S1期75-79,共5页Acta Photonica Sinica

基　　金：国家自然科学基金(No.60777013);北京市自然科学基金(No.4082023)资助

摘　　要：利用非等距差分法进行一阶和二阶微分近似,对任意多包层光纤的半径和折射率分布进行非线性网格划分,对亥姆霍兹方程进行数值化,用Matlab编程求解特征矩阵方程,得到准确的单模、多模光纤模场分布,计算出五包层色散平坦光纤的归一化模场.结果表明,非等距差分法既可以保证运算的准确度,又能够提高运算速度,为深入研究光纤的其它特性奠定基础.The non-linear differential method was applied to the first-order and second-order differential appoximation.After non-linear grid dividing of radius and refractive index distribution of any multi-layer fiber,the numeralization of Helmholtz equation was obtained.By solving the characteristic matrix equation using Matlab,accurate mode field distributions of single mode fiber and multimode fiber were obtained,and the normalized mode field of five cladding dispersion flattened fiber was calculated.The results show that the non-linear differential method ensures the accuracy,and also improves the computational speed greatly,which lays a foundation for further study of other characteristics of optical fiber.

关 键 词：模场分布 亥姆霍兹方程 非线性网格划分 二阶微分近似 

分 类 号：TN253[电子电信—物理电子学]