用迭代特征函数展开方法分析非线性平面介质波导

计算物理 ›› 1993, Vol. 10 ›› Issue (2): 220-226.

用迭代特征函数展开方法分析非线性平面介质波导

宫跃进

北方交通大学数学系

收稿日期:1992-02-10 修回日期:1992-07-07 出版日期:1993-06-25 发布日期:1993-06-25

CALCULATIONS ON NONLINEAR DIELECTRIC SLABWAVEGUIDES BY THE ITERATIVE EIGENFUNCTIONEXPANSION METHOD

Gong Yuejin

Department of mathematics, Northerm Jiao Tong University

Received:1992-02-10 Revised:1992-07-07 Online:1993-06-25 Published:1993-06-25

摘要/Abstract

摘要： 根据新近发展起来的迭代特征函数展开方法(IEEM),提供了一个分析任意非线性平板介质波导中TE波和TM波传播特性的途径。和有限元分析的结果比较,证明该方法在处理此类非线性问题时是非常有效的,而且很容易被推广到各种几何形状的非线性介质波导的分析中去。

关键词: 非线性波导, 特征函数展开

Abstract: A new treatment for the behaviour of both TE and TM non-linear waves in an arbitrary nonlinear material is given. The treatment is based on a recently developed method-the Iterative Eigen. function expansion method (IEEM). Compared with the results of Finite-element method (FEM), this scheme has proven very successful.It is also easily generalized to other nonlinear behaviour studies for varying geometries.

Key words: Nonlinear optical waveguides, eigenfunction expansion

宫跃进. 用迭代特征函数展开方法分析非线性平面介质波导[J]. 计算物理, 1993, 10(2): 220-226.

Gong Yuejin. CALCULATIONS ON NONLINEAR DIELECTRIC SLABWAVEGUIDES BY THE ITERATIVE EIGENFUNCTIONEXPANSION METHOD[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 1993, 10(2): 220-226.