Dirichlet-to-Neumann map method for analyzing interpenetrating cylinder arrays in a triangular lattice

被引：26

作者：

Wu, Yumao ^{[1
,2
,3
,4
]}

Lu, Ya Yan ^{[1
]}

机构：

[1] City Univ Hong Kong, Dept Math, Kowloon, Hong Kong, Peoples R China

[2] Univ Sci & Technol China, Joint Adv Res Ctr, Jiangsu, Peoples R China

[3] City Univ Hong Kong, Jiangsu, Peoples R China

[4] Univ Sci & Technol China, Dept Math, Hefei 230026, Anhui, Peoples R China

来源：

JOURNAL OF THE OPTICAL SOCIETY OF AMERICA B-OPTICAL PHYSICS | 2008年 / 25卷 / 09期

关键词：

D O I：

10.1364/JOSAB.25.001466

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

An efficient numerical method is developed for computing the transmission and reflection spectra of finite two-dimensional photonic crystals composed of circular cylinders in a triangular lattice. Our method manipulates a pair of operators defined on a set of curves, and it remains effective when the radius of the cylinders is larger than root 3/4 of the lattice constant-a condition where different arrays of cylinders cannot be separated by planes without intersecting the cylinders. The method is efficient since it never calculates the wave field in the interiors of the (hexagon) unit cells and it approximates the operators by small matrices. This is achieved by using the Dirichlet-to-Neumann (DtN) maps of the unit cells, which map the wave field on the boundaries of the unit cells to its normal derivative. (C) 2008 Optical Society of America

引用

页码：1466 / 1473

页数：8

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