多层介质波导的一种新方法及其在非均匀介质平面光波导中的应用

A new method for solving multilayer dielectric waveguide and its application to non-uniform dielectric waveguide

本文提出求解多层介质平面光波导的一个简单而直接的方法。将其应用于非均匀平面光波导,可以求解任意折射率分布和TM模问题。以抛物线型和指数型分布为例,说明只要分层数目足够多,本文介绍的方法可以达到任意精度。

In this paper, we present a new direct methed for solving the problem of a mult ilayer dieleotrio planar waveguide. Applying this method to a non-uniform dieleotrio planar waveguide, we can solve the problems of an arbitarily graded planar waveguide for either TE or TM modes. Taking parabolic and exponential refractive index profiles as two examples, we have shown that high accuracy can be abtained by using this methed provided that the waveguide can be divided into proper number and thickness of layers.