Perfect transmission and self-similar optical transmission spectra in symmetric Fibonacci-class multilayers
Perfect transmission and self-similar optical transmission spectra in symmetric Fibonacci-class multilayers
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DOI：
10.1103/physrevb.63.245104
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发表时间：
2001-05
影响因子：
3.7
通讯作者：
Xiaokun Huang;S. Jiang;R. Peng;A. Hu
中科院分区：
文献类型：
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作者：
Xiaokun Huang;S. Jiang;R. Peng;A. Hu
研究了具有镜像对称性的Fibonacci类@SFC（n）#准周期介质多层膜的光传输特性。对于垂直入射的光，许多完美的透射峰~透射系数是统一的！数字化获得。透射系数在奇数的SFC（n）族中表现出两个周期的特征，而在偶数的SFC（n）族中表现出三个周期的特征。给出了描述透射谱自相似行为的标度因子sf（n）的解析表达式。设mij（k）（i，j51，2）为第k代SFC（n）的总转移矩阵的元素，证明了位置~波长！可以由M12（k）1 M21（k）50唯一地确定。数值计算很好地证实了分析结果。
We study the transmission properties of light through the symmetric Fibonacci-class @SFC(n)# quasiperiodic dielectric multilayers, which possess a mirror symmetry. For a normal incidence of light, many perfect transmission peaks~the transmission coefficients are unity ! are numerically obtained. The transmission coefficient exhibits a two-cycle feature in a family of the SFC( n) with an oddn, while a three-cycle feature in another family with an evenn. The scaling factorsf (n), which give a description of the self-similar behaviors of transmission spectra, are analytical obtained. Let mi j (k) ( i , j 51,2) be the elements of the total transfer matrix of thekth generation of SFC( n); it is proven that the positions ~wavelength! of the perfect transmission peaks can be uniquely determined by m12 (k)1m21 (k)50. The analytical results are very well confirmed by the numerical calculations.