Photonic-crystal surface modes found from impedances

被引:32
|
作者
Lawrence, Felix J. [1 ,2 ]
Botten, Lindsay C. [3 ,4 ]
Dossou, Kokou B. [3 ,4 ]
McPhedran, R. C. [1 ,2 ]
de Sterke, C. Martijn [1 ,2 ]
机构
[1] Univ Sydney, CUDOS, IPOS, Sydney, NSW 2006, Australia
[2] Univ Sydney, Sch Phys, Sydney, NSW 2006, Australia
[3] Univ Technol Sydney, CUDOS, Sydney, NSW 2007, Australia
[4] Univ Technol Sydney, Dept Math Sci, Sydney, NSW 2007, Australia
来源
PHYSICAL REVIEW A | 2010年 / 82卷 / 05期
关键词
SCATTERING; WAVES;
D O I
10.1103/PhysRevA.82.053840
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
We present a method for finding surface modes at interfaces between two-dimensional photonic crystals (PCs), in which the surface modes are represented as superpositions of the PCs' propagating and evanescent Bloch modes. We derive an existence condition for surface modes at an air-PC interface in terms of numerically calculated PC impedance matrices, and use the condition to find surface modes in the partial band gap of a PC. We also derive a condition for modes of a three-layer structure with two interfaces, and find both coupled surface modes and waveguide modes. We show that some waveguide modes cross the band edge and become coupled surface modes.
引用
收藏
页数:8
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