基于边界元法的微结构光波导模场分布研究

本文基于加权余量法,阐述了利用边界元法求解矢量亥姆霍兹方程的数学基础-亥姆霍兹方程的边界积分方程;并推导了数值求解该边界积分方程的方法;利用推导结果,编写计算机程序分析了圆光波导的模式场分布情况。实验结果表明,该方法可以在较低方程组阶数,较少输入数据量的前提下准确地分析微结构光波导内模式场的分布情况。

Study of Mode-field Distribution in Micro-structure Optical Waveguide Based on Boundary Element Method

Based on weighted residual method, this paper expounds the mathematical basis of using boundary element method for solving vector Helmholtz equation-the boundary integral equation of Helmholtz equation; and derives the numerical solution of this boundary integral equation; uses the derived results to write the computer program for calculating the mode-field distribution of circular waveguide. The experimental results show that in the premise of lower number of equation order and less amount of input data, t...