Photonic Band Using Vector Spherical Waves : I. Various Properties of Bloch Electric Fields and Heavy Photons
Photonic Band Using Vector Spherical Waves : I. Various Properties of Bloch Electric Fields and Heavy Photons
复制标题
使用矢量球面波的光子带：I. 布洛赫电场和重光子的各种特性
DOI：
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发表时间：
1996
期刊：
影响因子：
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通讯作者：
Y. Tanabe
中科院分区：
文献类型：
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作者：
K. Ohtaka;Y. Tanabe
以矢量球面波为基函数，计算了面心立方介质球阵列的光子带隙。结果表明，长期行列式的维数小于100，或小于十分之一的平面波基函数。基于计算的本征矢量，研究了电场矢量的对称性、电场矢量与非电场矢量的夹角以及Bloch态的正交性。此外，平面波展开的收敛性进行了检查。此外，我们还证明了被恰当地称为重光子的模式的存在，其起源与电子类似物重费米子完全相同。
The calculation is presented for the photonic bands for the fcc array of dielectric spheres, using the vector spherical-waves as basis functions. It is shown that the dimension of the secular determinant is less than 100, or less than one tenth of that of the plane-wave basis functions. Based upon the calculated eigenvectors, the symmetry properties of the electric-field vectors, the angle between the electric- and displcement-field vectors and the orthonormality of the Bloch states are investigated. Also the convergence of the plane-wave expansion is examined. Furthermore, we have demonstrated the existence of the modes appropriately called heavy photons, whose origin is exactly identical to the electronic analogues, heavy fermions.