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二维正方各向异性碲圆柱光子晶体完全禁带中缺陷模的FDTD计算分析和设计
A FDTD method for calculating defect modes in a two-dimensional photonic crystal consisting of anisotropic cylinders
【摘要】 用FDTD方法计算了二维正方晶胞各向异性碲圆柱光子晶体的点缺陷模 .为了得到TE ,TM模式在完全禁带中具有相同共振频率的缺陷模 ,对中心点缺陷半径Rd 以及中心附近对称位置的点缺陷半径Rn 做了一系列微调 .计算表明 ,TM模对于Rn 的变化不敏感 ,而TE模随着Rn 的改变出现了明显的规则的移动趋势 .通过计算分析 ,发现对应于f=0 .4的背景 (R =0 .35 6 8a) ,当Rd=0 .5 5a ,Rn=0 .2 6a时在完全禁带中TE和TM的缺陷模具有相同的共振频率ω0 =0 .2 4 6 6ωe(其中ωe=2πc a ,a为晶格常数 )
【Abstract】 A finite differece in time domain(FDTD)method is employed to calculate defect modes in a two dimensional photonic crystal consisting of anisotropic cylinders of tellurium.In order to obtain a defect mode inside the complete band gap,we adjust the radius R d of the central defect and radius R n of the neighboring defects.It is shown that the defect modes for the E polarization are not sensitive to R n,while the resonance frequency for H polarization varies regularly as R n changes.When the filling fraction f=0 4(R=0.3568a),R d=0.55 a and R n=0.26 a ,the defect mode has the same resonance frequency ω 0=0.2466ω e(where ω e=2π c/a,a,c being lattice constants)for both E and H polarization.
- 【文献出处】 物理学报 ,Acta Physica Sinica , 编辑部邮箱 ,2002年09期
- 【分类号】O734
- 【被引频次】27
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