Strong spatial dispersion in wire media in the very large wavelength limit -: art. no. 113103
Strong spatial dispersion in wire media in the very large wavelength limit -: art. no. 113103
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DOI：
10.1103/physrevb.67.113103
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发表时间：
2003-03-15
影响因子：
3.7
通讯作者：
Tretyakov, SA
中科院分区：
文献类型：
--
作者：
Belov, PA;Marqués, R;Tretyakov, SA
结果发现，存在复合介质，表现出强烈的空间色散，即使在非常大的波长限制。这来自于对理想导电平行细导线（导线介质）晶格的研究。事实上，我们的分析表明，这种介质的局部色散单轴介电张量的描述是不完整的，导致在任何频率的电磁波传播的非物理结果。由于非局部本构关系在过去通常被认为是一个二阶近似，有意义的短波长限制，上述结果提出了相关的理论兴趣。此外，由于这种线介质最近已被用作一些离散的人工介质（或超材料）的组成部分，报告的结果打开了这些人工介质的表征中的空间色散的相关性的问题。
It is found that there exist composite media that exhibit strong spatial dispersion even in the very large wavelength limit. This follows from the study of lattices of ideally conducting parallel thin wires (wire media). In fact, our analysis reveals that the description of this medium by means of a local dispersive uniaxial dielectric tensor is not complete, leading to unphysical results for the propagation of electromagnetic waves at any frequencies. Since nonlocal constitutive relations have been usually considered in the past as a second-order approximation, meaningful in the short-wavelength limit, the aforementioned result presents a relevant theoretical interest. In addition, since such wire media have been recently used as a constituent of some discrete artificial media (or metamaterials), the reported results open the question of the relevance of the spatial dispersion in the characterization of these artificial media.