Magnetism and Homogenization of Microresonators
Magnetism and Homogenization of Microresonators
复制标题
微谐振器的磁性和均匀化
DOI：
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发表时间：
2007
影响因子：
1.6
通讯作者：
S. Shipman
中科院分区：
文献类型：
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作者：
R. Kohn;S. Shipman
在介质矩阵中嵌入圆柱金属微谐振器阵列是由Pendry等人提出的。Microw。理论技术，47 (1999),pp. 2075-2084]作为一种创造微观结构的手段，在自然界中无法实现的频率下表现出强烈的体磁行为。这种行为出现在准静态状态下的h偏振场，其中微观结构的尺度远远小于场的自由空间波长。我们进行正式和严格的双尺度均质分析，特别注意适当的平均方法，不涉及通常的细胞平均。我们表明，通过这种平均方法获得的有效磁系数和介电系数表征了一种大块介质，在领先阶上，产生与微结构复合材料相同的散射数据。
Arrays of cylindrical metal microresonators embedded in a dielectric matrix were proposed by Pendry et al. [IEEE Trans. Microw. Theory Tech., 47 (1999), pp. 2075–2084] as a means of creating a microscopic structure that exhibits strong bulk magnetic behavior at frequencies not realized in nature. This behavior arises for H-polarized fields in the quasi-static regime, in which the scale of the microstructure is much smaller than the free-space wavelength of the fields. We carry out both formal and rigorous two-scale homogenization analyses, paying special attention to the appropriate method of averaging, which does not involve the usual cell averages. We show that the effective magnetic and dielectric coefficients obtained by means of such averaging characterize a bulk medium that, to leading order, produces the same scattering data as the microstructured composite.