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1. 中国科学院长春光学精密机械与物理研究所 激发态物理重点实验室,吉林 长春,130033
2. 中国科学院 研究生院 北京,100039
收稿日期:2010-08-25,
修回日期:2010-10-24,
纸质出版日期:2011
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刘光裕, 宁永强, 张立森, 王伟, 孙艳芳, 秦莉, 刘云, 王立军. 二维光子晶体的完全带隙[J]. 发光学报, 2011,32(2): 169-173
LIU Guang-yu, NING Yong-qiang, ZHANG Li-sen, WANG Wei, SUN Yan-fang, QIN Li, LIU Yun, WANG Li-jun. Two-dimension Photonic Crystal Complete Bandgap[J]. Chinese Journal of Luminescence, 2011,32(2): 169-173
为了研究二维光子晶体完全带隙的规律
采用平面波展开法模拟了4种结构二维光子晶体
在固定光子晶体周期常数
a
的情况下
研究完全带隙随柱半径r的变化规律。研究发现
六角晶格空气孔型光子晶体的完全带隙出现在
r
=0.42~0.50 m的范围
最大带隙宽度
1
=0.08(
a
/2
c
);方形晶格空气柱型光子晶体在
r
=0.47~0.50 m范围内存在完全带隙
带隙宽度
2
=0.02(
a
/2
c
)。完全带隙中心频率随
r
的增加而增加。六角周期和方形周期的GaAs介质柱型光子晶体不存在完全带隙。
Photonics crystal (PhC)is the material in which the refractive index changes periodically and the PhC has a band structure and location mode
this structure can control light.In order to study two-dimensional PhC complete band gap
in this paper
plane wave expansion method was employed to simulate four types of two-dimensional PhC. We study the relationship between the complete bandgap and the variation of column radius
r
with a fixed lattice constant. We found that hexagonal lattice PhC air holes complete band gap appears in the
r
=0.42~0.50 m range
complete band gap width does not increase with the air column radiu
r
but there is a maximum width. The maximum band gap width is
1
=0.08(
a
/2
c
).When air column radiu
r
=0.47~0.50 m
square lattice PhC exists complete bandgap
the band gap width
2
=0.02(
a
/2
c
).And complete band gap center frequency increases with
r
. Results indicate that for hexagonal and square GaAs columnar PhC there is no complete band gap.
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