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光子晶体光纤色散的有限差分法研究
引用本文:栗岩锋,刘博文,王子涵,胡明列,王专,王清月. 光子晶体光纤色散的有限差分法研究[J]. 中国激光, 2004, 31(10): 257-1260
作者姓名:栗岩锋  刘博文  王子涵  胡明列  王专  王清月
作者单位:天津大学精密仪器与光电子工程学院光电信息技术科学教育部重点实验室,天津,300072
基金项目:国家自然科学基金(编号:60278003),国家973计划(编号:2003CB314904),国家863计划(编号:2003AA311010)资助课题。
摘    要:采用基于半矢量波动方程的有限差分法研究了光子晶体光纤(PCF)的色散特性。利用中心差分格式将半矢量波动方程转化为矩阵的特征值问题,进而得到光纤的模式特征和传播常数,并对计算结果进行了分析。数值计算结果表明,半矢量的有限差分法与全矢量的有限差分法和有限元方法求解的数值结果以及测量结果吻合得很好,而比基于标量方程的有效折射率模型得到的结果更为精确,为进一步设计具有适当色散特性的光子晶体光纤提供了理论计算工具。

关 键 词:光电子学 光子晶体光纤 有限差分法 色散
收稿时间:2003-07-09

Finite Difference Analysis of Dispersion Properties of Photonic Crystal Fibers
LI Yan feng,LIU Bo wen,WANG Zi han,HU Ming lie,WANG Zhuan,WANG Qing yue. Finite Difference Analysis of Dispersion Properties of Photonic Crystal Fibers[J]. Chinese Journal of Lasers, 2004, 31(10): 257-1260
Authors:LI Yan feng  LIU Bo wen  WANG Zi han  HU Ming lie  WANG Zhuan  WANG Qing yue
Abstract:A finite difference scheme based on semi vectorial wave equations is used to study the dispersion properties of photonic crystal fibers (PCF). Using a central difference scheme, the semi vectorial wave equations are cast into algebraic eigenvalue problems, from which modal fields and propagation constants are obtained. The results obtained by the semi vectorial finite difference method are coincided well with those by the full vectorial finite difference method and the finite element method as well as experimental results, and are more accurate than those by the scalar effective index model. It can be shown that the semi vectorial finite difference method is an effective numerical tool for the design of photonic crystal fibers with desirable dispersion.
Keywords:optoelectronics  photonic crystal fiber  finite difference method  dispersion
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