光学学报, 2004, 24 (8): 1130, 网络出版: 2006-06-12
光子晶体光纤的正交函数模型
Localized Orthogonal Function Model of Photonic Crystal Fibers
摘要
提出了一种用于分析光子晶体光纤的正交函数模型。采用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量表示为两种周期性结构叠加。将横向电场以厄密高斯函数展开,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,求解本征值问题可得到模式的传输常量及模场分布。利用此模型举例讨论了椭圆孔三角格子光子晶体光纤的模场分布和偏振特性以及三角格子光子晶体光纤的色散特性和有效面积等传输特性。作为一种普适的模型,此方法还可适用于四方结构、蜂窝结构及椭圆孔等多种结构光子晶体光纤。
Abstract
A novel and general model for light propagation in photonic crystal fibers (PCF) is proposed. A new method for constructing supercell lattice is proposed, the transverse index profile of PCF is represented with overlapping of two periodic structures and the modal field is decomposed by using Hermite-Gaussian functions. The propagation constant and the mode field distribution of the PCF can be calculated by recasting the Maxwell equations into matrix eigenvalue system. The transmission properties of PCF including modal field distributions, dispersion properties, polarization properties and effective area are analyzed. As a general method, it is an accurate and efficient model for square, honeycomb lattice and elliptical-hole PCF.
任国斌, 王智, 娄淑琴, 简水生. 光子晶体光纤的正交函数模型[J]. 光学学报, 2004, 24(8): 1130. 任国斌, 王智, 娄淑琴, 简水生. Localized Orthogonal Function Model of Photonic Crystal Fibers[J]. Acta Optica Sinica, 2004, 24(8): 1130.