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龙格—库塔法和传输矩阵法求解非均匀长光纤光栅问题的比较
引用本文:刘勇,叶志清.龙格—库塔法和传输矩阵法求解非均匀长光纤光栅问题的比较[J].江西师范大学学报(自然科学版),2001,25(1):57-61.
作者姓名:刘勇  叶志清
作者单位:江西师范大学物理与通信电子学院
基金项目:江西师范大学科研基金资助
摘    要:通过对几个具体的例子,分析研究龙格-库塔法和传输矩阵法求解非均匀光纤光栅的异同。发现在计算过程中矩阵法的运算速度快,精确度高,特别适合求解非均匀长光栅问题。而龙格-库塔法的计算结果则受步长的影响,当步长取得足够小时,两种方法计算结果基本吻合。

关 键 词:光纤光栅  变迹光栅  啁啾光栅  矩阵分析法  龙格-库塔法  运算速度  步长
文章编号:1000-5862(2001)01-0057-05
修稿时间:2000年11月16

A Comparision Between Using Runge Kutta Method and Matrix Method to Analyze Non Uniform Long Optical Fiber Grating
LIU Yong,YE Zhi-qing.A Comparision Between Using Runge Kutta Method and Matrix Method to Analyze Non Uniform Long Optical Fiber Grating[J].Journal of Jiangxi Normal University (Natural Sciences Edition),2001,25(1):57-61.
Authors:LIU Yong  YE Zhi-qing
Abstract:In terms of several specified examples, we had compared the matrix method with the Runge Kutta method on analyzing the characteristics of the non uniform gratings in this paper. The results show that the matrix method is suitable for non uniform long gratings, which calculates rapidly with a better precision. The Runge-Kutta method has been widely adopted. However, it is always affected by the chance of the integral setting. When the integral setting is proper, the result is almost the same as that of the matrix method, but this would spend a longer time on calculating.
Keywords:fiber bragg grating  apodized gratings  chirped gratings  matrix method  Runge  Kutta method
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