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arXiv 0901.3549cond-mat.mtrl-scicond-mat.other
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异向介质的有效介电响应

Effective Dielectric Response of Metamaterials

Guillermo P. Ortiz, Brenda E. Martínez-Zérega, Bernardo S. Mendoza, W. Luis Mochán

备注：
16 pages 7 figures. Accepted in Phys. Rev. B (2009-06-08)
发表信息：
Phys. Rev. B 79, 245132 (2009)
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摘要：

我们使用麦克斯韦方程组的均匀化过程，以获得在局部极限的频率（$ω$）依赖的宏观介电响应$ε^M(ω)$的超材料制成的天然成分与任何几何形状周期性地重复与任何结构。我们举例说明了计算几种结构的$ε^M(ω)$的形式主义。对于介电矩形夹杂物内的导电材料，我们得到了一个非常各向异性的响应，沿一个方向从导体样在低$ω$的谐振介电样在大$ω$，实现了非常小的反射率在中间频率无关的表面等离子体激发，可以通过几何泰勒调谐。对于接近逾渗阈值的其他形状，获得类似的行为。

英文摘要：

We use a homogenization procedure for Maxwell's equations in order to obtain in the local limit the frequency ($ω$) dependent macroscopic dielectric response $ε^M(ω)$ of metamaterials made of natural constituents with any geometrical shape repeated periodically with any structure. We illustrate the formalism calculating $ε^M(ω)$ for several structures. For dielectric rectangular inclusions within a conducting material we obtained a very anisotropic response which changes along one direction from conductor-like at low $ω$ to a resonant dielectric-like at large $ω$, attaining a very small reflectance at intermediate frequencies unrelated to surface plasmon excitation and which can be tuned through geometrycal tayloring. A similar behavior is obtained for other shapes close to the percolation threshold.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

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