PBG-PCF基模特性全矢量平面波多极方法联合数值研究

计算物理 ›› 2010, Vol. 27 ›› Issue (2): 287-292.

PBG-PCF基模特性全矢量平面波多极方法联合数值研究

汤炳书^1,2, 沈廷根², 王刚³

1. 连云港师范高等专科学校物理系, 江苏连云港 222006;
2. 江苏大学应用物理研究所, 江苏镇江 212003;
3. 江苏大学通信工程系, 江苏镇江 212003

收稿日期:2008-10-13 修回日期:2009-04-21 出版日期:2010-03-25 发布日期:2010-03-25
作者简介:汤炳书(1963-),男,江苏丹阳,教授,主要从事计算凝聚态物理研究.
基金资助:
国家自然科学基金(60771041);江苏省教育厅2008年度高校"青蓝工程"中青年学术带头人培养对象资助项目

Numerical Investigation on Fundamental Mode of PBG-PCFwith Full-vector Plane Wave and Multipole Method

TANG Bingshu^1,2, SHEN Tinggen², WANG Gang³

1. Department of Physics, Lianyun-gang Teacher's College, Lianyungang 222006, China;
2. Institute of Applied Physics, Jiangsu University, Zhenjiang 212003, China;
3. Telecommunication Engineering Department of Jiangsu University, Zhenjiang 212003, China

Received:2008-10-13 Revised:2009-04-21 Online:2010-03-25 Published:2010-03-25

摘要/Abstract

摘要： 用全矢量平面波方法与多极方法联合数值研究六重对称带隙型光子晶体光纤的基模特性.通过全矢量平面波方法可确定组成PBG-PCF的二维光子晶体的带隙,基模(束缚模)存在其频率要落在带隙内且须在k₀α=βα的直线附近上部区域,在带隙外形成辐射(泄漏模).把频率作为输入变量用多极方法计算,数据导出用MATLAB数学软件作出模场分布图,结果发现,不是所有基模可能存在的区域都有基模存在,为带隙型光子晶体光纤的基模寻找提供一种可行的方法.

关键词: 带隙型光子晶体光纤(PBG-PCF), 全矢量平面波方法, 多极方法, 基模

Abstract: Numerical investigation on fundamental mode of PBG-PCF with six-fold rotation symmetry is carried out with full-vector plane wave and multipole method. Band gap of two-photonic crystal, constituting PBG-PCF, is determined by full-vector plane wave method. Frequency of possible existing fundamental modes(bound modes) are not only in band gap but also above line k₀α=βα. Radiation modes exist out of band gap. Multipole method is performed with input frequency as variables. Field distribution of fundamental mode is plotted by MATLAB. It indicates that fundamental modes do not exist in all possible domains. It gives a feasible method to find fundamental modes of PBG-PCF.

Key words: photonic band gap guiding photonic crystal fibers (PBG-PCF), full-vector plane wave method, multipole method, fundamental mode

中图分类号:

O431.2

汤炳书, 沈廷根, 王刚. PBG-PCF基模特性全矢量平面波多极方法联合数值研究[J]. 计算物理, 2010, 27(2): 287-292.

TANG Bingshu, SHEN Tinggen, WANG Gang. Numerical Investigation on Fundamental Mode of PBG-PCFwith Full-vector Plane Wave and Multipole Method[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2010, 27(2): 287-292.