| 求解梯度光纤模场的近似里兹-伽略金方法 |
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| 引用本文： | 王子华,张辉,肖中银.求解梯度光纤模场的近似里兹-伽略金方法[J].光子学报,2006,35(7):986-989. |
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| 作者姓名： | 王子华 张辉 肖中银 |
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| 作者单位： | 上海大学通信与信息工程学院,上海,200072 |
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| 基金项目： | 国家自然科学基金
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上海市重点学科建设项目 |
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| 摘 要： | 提出里兹-伽略金方法的一个近似或改进,即里兹-伽略金方法仅仅用来得到梯度型光纤的传播常量和纤芯中的模式场.包层场用修正贝塞尔函数以及已经求得的两个参量:包层径向衰减常量和场在纤芯-包层界面上的值重新构建.计算结果表明包层场准确度的改进是相当显著的,将这一近似方法应用于计算两根光纤之间的耦合系数,其结果与准确值几乎没有办法区分.
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| 关 键 词： | 光纤光学 梯度型光纤 拉盖尔-高斯函数展开 模式场 耦合系数 |
| 收稿时间： | 2005-03-29 |
| 修稿时间： | 2005年3月29日 |
Approximate Ritz-Galerkin Method for Field Distribution of Graded-Index Optical Fibers |
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| Wang Zihua,Zhang Hui,Xiao Zhongyin.Approximate Ritz-Galerkin Method for Field Distribution of Graded-Index Optical Fibers[J].Acta Photonica Sinica,2006,35(7):986-989. |
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| Authors: | Wang Zihua Zhang Hui Xiao Zhongyin |
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| Institution: | School of Communications and Information Engineering, Shanghai University, Shanghai 200072 |
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| Abstract: | Ritz-Galerkin method is used only for obtaining propagation constant and the radial mode field in core region of graded-index optical fibers.Cladding field has been constructed by using the accurate functional form (modified Bessel function) with two approximate parameters:the transverse decay constant in the cladding and the field value at core-cladding interface,which are already known.Numerical results show that the improvement on accuracy is significant.This approximate Ritz-Galerkin method has been applied to the calculation of coupling coefficient between two step-index optical fibers.Results are agreed well with exact values. |
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| Keywords: | Fiber optics Graded-index optical fibers Laguerre-Gauss expansion Modal fields Coupling coefficient |
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