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兰州理工大学, 物理系,甘肃 兰州,730050
纸质出版日期:2008-9-20,
收稿日期:2007-11-13,
修回日期:2008-1-25,
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王道斌, 侯尚林, 任国栋, 雷景丽. Suzuki晶格光子晶体的光子带结构[J]. 发光学报, 2008,29(5): 885-890
WANG Dao-bin, HOU Shang-lin, REN Guo-dong, LEI Jing-li. Band Structure of Suzuki-phase Photonic Crystal[J]. Chinese Journal of Luminescence, 2008,29(5): 885-890
系统地研究了Suzuki晶格光子晶体能带结构
包括介质中周期排列的空气孔光子晶体和空气中周期排列的介质柱光子晶体.采用平面波展开法计算了空气孔和介质柱半径及折射率对光子带隙的影响.结果发现介质中周期排列的空气孔光子晶体主要形成TM模光子禁带
空气中周期排列的介质柱光子晶体主要形成TE模光子禁带
只有介质折射率较大时两类光子晶体才能够形成完全带隙.介质中周期排列的空气孔光子晶体能带结构中沿Г-
X
1
和
X
1
-
M
方向出现了群速度接近于零的色散曲线
而在另一类光子晶体中并未出现这种情况
在其它晶格类型的光子晶体中也未发现这种情况.
Photonic crystals(PCs)
also known as photonic band-gap materials
are artificial dielectric or metallic structures in which the refractive index modulation gives rise to stop bands for electromagnetic waves(EM) within a certain frequency range.The discovery of photonic crystals has opened up a promising tool to control the flow of light.A very interesting feature of light guided through photonic crystals is that the group velocity of the light may be reduced by orders of magnitude.There are several devices taking advantage of this property both in PC waveguides and in extended photonic crystal lattices.The excellent optical properties of PCs come from their special band structures.The band structures can be associated with the type of lattice that photonic crystals take on.Up to the present
many works have been devoted to study the properties of PCs which have hexagon
square and honeycomb lattices.The two dimensional Suzuki-phase lattice is the novel one
which firstly was brought forward in the context of sound propagation by sonic crystals and afterward its equivalent was introduced for photonic crystals.In this paper a complete research of the photonic band structure for Suzuki-phase lattice is presented
including the periodic array of air holes in a dielectric background and the periodic array of dielectric rods in air.With the help of plane wave expansion method
the impacts of scatter element radius and refractive index was investigated.The results demonstrate that the band-gaps are mostly for TM mode in the periodic array of air holes in a dielectric background
but the TEmode in the perio-dic array of dielectric rods in air.The complete band-gap presents itself in all type photonic crystals only when refractive index of the medium is larger enough.When refractive index is smaller
the complete band-gap doesn't emerge.For the periodic array of air holes in a dielectric background
the results demonstrate that in some rang of air hole radius the fifth and sixth bands are separated from each other distinctly.The dispersive curves for fifth band along Г-
X
1
direction and sixth band along
X
1
-
M
direction are very flat
implying group velocity equal to zero.The modal field profiles were also calculated.From these results
we can find the fifth and sixth bands are mini-bands created by the coupling of defect modes.This phenomenon
which can be used for slow light engineering in photonic crystals
has not been found in the periodic array of dielectric rods in air and other lattices.
Suzuki晶格光子带隙平面波展开法缺陷模
Suzuki phasephotonic band gapplane wave expansion methoddefect mode
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