光子学报, 2010, 39 (s1): 75, 网络出版: 2011-05-31
任意多包层光纤模场的数值解法
umerical Solution of Mode Field of Optical Fiber with Any Multiple Packet Layers
模场分布 亥姆霍兹方程 非线性网格划分 二阶微分近似 Mode field distribution Helmholtz equation Non-linear grid division Approximation of second order differential
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.
Abstract
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.
夏涛, 郭红利, 陈根祥. 任意多包层光纤模场的数值解法[J]. 光子学报, 2010, 39(s1): 75. XIA Tao, GUO Hong-li, CHEN Gen-xiang. umerical Solution of Mode Field of Optical Fiber with Any Multiple Packet Layers[J]. ACTA PHOTONICA SINICA, 2010, 39(s1): 75.