Panoiu N-C, Osgood R M
Department of Applied Physics and Applied Mathematics, Columbia University, New York, New York 10027, USA.
Phys Rev E Stat Nonlin Soft Matter Phys. 2003 Jul;68(1 Pt 2):016611. doi: 10.1103/PhysRevE.68.016611. Epub 2003 Jul 21.
We study numerically the influence of the frequency dispersion of the dielectric function of metals on the physical properties of negative-refractive-index metamaterials. A numerical analysis is performed using the transfer matrix formalism in conjunction with the finite-difference time-domain method. We analyze the dependence of the transmission and absorption properties of a slab of split-ring-type resonators on the parameters characterizing the frequency dispersion of the metallic dielectric function: plasma frequency and damping frequency. Then, using these transmission and reflection coefficients, we show that the refractive index remains negative near the resonant frequency of the rings, despite the presence of frequency dispersion. We also determine the dependence of the position and width of the band gaps of a slab of such a metamaterial on the material dispersion. Finally, we also discuss the influence of the shape of the split-ring resonators on the transmission and reflection coefficients. The calculations are performed for both two- and three-dimensional structures.
我们通过数值研究金属介电函数的频率色散对负折射率超材料物理性质的影响。使用转移矩阵形式结合时域有限差分法进行数值分析。我们分析了裂环型谐振器平板的透射和吸收特性对表征金属介电函数频率色散的参数（等离子体频率和阻尼频率）的依赖性。然后，利用这些透射和反射系数，我们表明，尽管存在频率色散，但在环的谐振频率附近折射率仍保持为负。我们还确定了这种超材料平板的带隙位置和宽度对材料色散的依赖性。最后，我们还讨论了裂环谐振器形状对透射和反射系数的影响。对二维和三维结构都进行了计算。
