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光纤纤芯及包层模有效折射率计算及仿真
引用本文:李丽君,来永政,曹茂永,刘超,袁雪梅,张旭,管金鹏,史静,李晶.光纤纤芯及包层模有效折射率计算及仿真[J].物理学报,2013,62(14):140201-140201.
作者姓名:李丽君  来永政  曹茂永  刘超  袁雪梅  张旭  管金鹏  史静  李晶
作者单位:山东科技大学信息与电气工程学院, 青岛 266590
摘    要:光纤结构设计、模间色散求解、光纤光栅模式耦合等问题的研究, 都需要对光纤纤芯及包层模的有效折射率进行精确计算. 本文以光纤三层结构模型为基础, 结合该模型下的模式本征方程, 使用截弦法求解了纤芯模有效折射率, 并将计算结果与COMSOL软件模拟的对应纤芯模的传输光场进行对比, 验证了计算结果正确.使用区间遍历算法对包层模有效折射率进行了求解, 与已有的传统方法相比, 该方法可以有效防止求解过程中根的遗漏、避免特征方程产生的奇点, 并能保证模式的正规性.本文采用Mathematica软件对求解过程进行仿真, 获得了纤芯模和包层模有效折射率与波长关系曲线. 关键词: 光纤传输模式 有效折射率 截弦法 区间遍历算法

关 键 词:光纤传输模式  有效折射率  截弦法  区间遍历算法
收稿时间:2012-12-21

Calculation and simulation of optical fiber core and cladding mode effective refractive index
Li Li-Jun,Lai Yong-Zheng,Cao Mao-Yong,Liu Chao,Yuan Xue-Mei,Zhang Xu,Guan Jin-Peng,Shi Jing,Li Jing.Calculation and simulation of optical fiber core and cladding mode effective refractive index[J].Acta Physica Sinica,2013,62(14):140201-140201.
Authors:Li Li-Jun  Lai Yong-Zheng  Cao Mao-Yong  Liu Chao  Yuan Xue-Mei  Zhang Xu  Guan Jin-Peng  Shi Jing  Li Jing
Abstract:The accurate computation of effective refractive index of optical fiber core and the cladding mode are needed for the fiber structure design, mode dispersion analysis and fiber grating mode coupling research. In this paper, based on three layered optical fiber waveguide model and its accurate eigenvalue equation, by using the cut string algorithm the effective refractive index of core mode is solved. At the same time the computation results are verified by using COMSOL software. By using interval traversal algorithm the effective refractive index of cladding mode is computed. Compared with the existing algorithms, this method can avoid the loss of root during the calculation. It can also avoid the generation of odd point and can keep the normality of each mode. The simulation is based on Mathematica software. The curves relating effective refractive index of core and cladding mode to wavelength are obtained.
Keywords: three layered optical fiber waveguides effective refractive index of core and cladding mode cut string algorithm interval traversal algorithm
Keywords:three layered optical fiber waveguides  effective refractive index of core and cladding mode  cut string algorithm  interval traversal algorithm
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