Modes of symmetric composite defects in two-dimensional photonic crystals

被引：4

作者：

Dossou, K. B. ^{[1
,2
]}

Poulton, C. G. ^{[1
,2
]}

Botten, L. C. ^{[1
,2
]}

Mahmoodian, S. ^{[3
,4
]}

McPhedran, R. C. ^{[3
,4
]}

de Sterke, C. Martijn ^{[3
,4
]}

机构：

[1] Univ Technol Sydney, Dept Math Sci, Sydney, NSW 2007, Australia

[2] Univ Technol Sydney, Ctr Ultrahigh Bandwidth Devices Opt Syst, Sydney, NSW 2007, Australia

[3] Univ Sydney, Ctr Ultrahigh Bandwidth Devices Opt Syst, Sydney, NSW 2006, Australia

[4] Univ Sydney, Sch Phys, Sydney, NSW 2006, Australia

来源：

PHYSICAL REVIEW A | 2009年 / 80卷 / 01期

关键词：

D O I：

10.1103/PhysRevA.80.013826

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

We consider the modal fields and resonance frequencies of composite defects in two-dimensional photonic crystals (PCs). Using an asymptotic method based on Green's functions, we show that the coupling matrices for the composite defect can be represented as circulant or block-circulant matrices. Using the properties of these matrices, specifically that their eigenvectors are independent of the values of the matrix elements, we obtain modal properties such as dispersion relations, modal cutoff, degeneracy, and symmetry of the mode fields. Using our formulation, we investigate defects arranged on the vertices of regular polygons as well as PC ring resonators with defects arranged on the edges of polygons. Finally, we discuss the impact of band-edge degeneracies on composite-defect modes.

引用

页数：14

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