椭圆孔光子晶体光纤的本地正交函数模型

Localized orthogonal function model of elliptical-hole photonic crystal fibers

提出了一种用于分析椭圆孔光子晶体光纤的正交函数模型 .发展了一种新型超格子的构造方法 ,将光子晶体光纤的横向介电常数表示为两种周期性结构叠加 ,这两种周期性结构分别用余弦函数展开 ;同时将横向电场以Hermite Gaussian函数展开 .利用正交函数的性质 ,将全矢量波动方程转化为矩阵本征值问题 ,求得两偏振模式传输常数 .利用此模型可以研究圆孔及椭圆孔光子晶体光纤的模式特性、色散特性。

A novel model for light propagation in elliptical-hole photonic crystal fibers (PCFs) is developed in terms of orthogonal function model. A new method for constructing supercell lattice is proposed; with this method the transverse index profile is decomposed into two periodic structures, and the mode field is decomposed using Hermite-Gaussian functions. The propagation constant and the mode field distribution of the PCF can be calculated by recasting the Maxwell equations into on eigenvalue system. With this model, the mode properties including dispersion properties, polarization properties and mode area can be analyzed for circular or elliptical hole PCF.