利用微扰理论分析渐变折射率平面波导

Analysis of Two-dimensional Graded-index Guides with Perturbation Theory

利用微扰理论对渐变折射率平面波导进行数值分析 .将渐变折射率平面波导芯区的折射率分布看做是对平板波导的一个微扰 ,根据一阶近似微扰理论得到渐变折射率平面波导传播常数的近似解 .以对称抛物线型渐变折射率平面波导为例 ,给出较为满意的分析结果 .

Perturbation theory was used to analyze two-dimensional graded-index guides in this paper. We considered the index-profile of two-dimensional graded-index guides as a perturbation of slab guides. The numerical solution of two-dimensional graded-index guide propagation constant was obtained by using first-order perturbation theory. Taking two-dimensional parabolic-index guides as an example, we found that the result was satisfying.