Dirichlet-to-Neumann map method for analyzing hole arrays in a slab

被引：11

作者：

Yuan, Lijun ^{[1
]}

Lu, Ya Yan ^{[1
]}

机构：

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

来源：

JOURNAL OF THE OPTICAL SOCIETY OF AMERICA B-OPTICAL PHYSICS | 2010年 / 27卷 / 12期

关键词：

2-DIMENSIONAL ELECTROMAGNETIC SCATTERING; PERIODIC ARRAYS; WAVE ANALYSIS; DIFFRACTION; CYLINDERS; PROPAGATION;

D O I：

10.1364/JOSAB.27.002568

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

A rigorous and efficient computational method is developed to calculate transmission and reflection spectra for a finite number of air-hole arrays in a slab, where the incident waves are propagating modes of the slab. The method is a three-dimensional extension of the Dirichlet-to-Neumann (DtN) map method previously developed for ideal two-dimensional photonic crystals which are infinite and invariant in one spatial direction. The method relies on the DtN maps of the unit cells to avoid repeated calculations in identical unit cells. The DtN map of a unit cell is constructed using eigenmode expansions in the vertical direction (perpendicular to the slab) and cylindrical wave expansions in the horizontal directions. (C) 2010 Optical Society of America

引用

页码：2568 / 2579

页数：12

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