Căbuz A I, Felbacq D, Cassagne D
Groupe d'Etude des Semiconducteurs UMR CNRS-UM2 5650, CC074, Université Montpellier II, Pl. E. Bataillon, F-34095 Montpellier Cedex 05, France.
Phys Rev Lett. 2007 Jan 19;98(3):037403. doi: 10.1103/PhysRevLett.98.037403. Epub 2007 Jan 17.
We present a two-step homogenization method for composite metamaterials. First, each layer of wires or resonators is homogenized as a slab with negative permittivity or permeability, respectively. Second, the single negative stack which results is homogenized to form the effective medium. Comparing the predictions of the first and second step can serve as a gauge of the homogeneity of the composite. We thus take a gradual approach to homogenization, asking not whether, but to what extent a composite metamaterial approaches the sought after effective medium. Our two-step approach can also capture phenomena which otherwise may be wrongly attributed to effective medium behavior. We illustrate by qualitatively reproducing and reinterpreting a set of experimental data from the literature.
我们提出了一种用于复合超材料的两步均匀化方法。首先，将每一层金属线或谐振器分别均匀化为具有负介电常数或磁导率的平板。其次，将由此得到的单负堆叠进行均匀化以形成有效介质。比较第一步和第二步的预测结果可以作为复合结构均匀性的一种衡量标准。因此，我们采用一种渐进的均匀化方法，关注的不是复合超材料是否接近，而是在多大程度上接近所追求的有效介质。我们的两步法还可以捕捉到一些现象，否则这些现象可能会被错误地归因于有效介质行为。我们通过定性地重现和重新解释文献中的一组实验数据来说明这一点。
