One-dimensional photonic crystal design

被引:8
|
作者
van der Mee, Cornelis [1 ]
Contu, Pietro [1 ]
Pintus, Paolo [2 ]
机构
[1] Univ Cagliari, Dipartimento Matemat & Informat, I-09123 Cagliari, Italy
[2] Scuola Super Studi Univ & Perfezionamento St Anna, CEIIC, I-56124 Pisa, Italy
关键词
Photonic crystal; Maxwell's equations; Helmholtz equation; Period map; Scattering matrix; Impurity period map;
D O I
10.1016/j.jqsrt.2009.07.003
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
In this article we present a method to determine the band spectrum, band gaps, and discrete energy levels, of a one-dimensional photonic crystal with localized impurities. For one-dimensional crystals with piecewise constant refractive indices we develop an algorithm to recover the refractive index distribution from the period map. Finally, we derive the relationship between the period map and the scattering matrix containing the information on the localized modes. (C) 2009 Elsevier Ltd. All rights reserved.
引用
收藏
页码:214 / 225
页数:12
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