Effect of the heterogeneity of metamaterials on the Casimir-Lifshitz interaction
Effect of the heterogeneity of metamaterials on the Casimir-Lifshitz interaction
复制标题
超材料异质性对 Casimir-Lifshitz 相互作用的影响
DOI：
10.1103/physreva.82.032512
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发表时间：
2010
影响因子：
2.9
通讯作者：
Azari A
中科院分区：
文献类型：
--
作者：
Azari A
使用考虑了物体介电和磁性的结构异质性的模型来研究超材料之间的卡西米尔-利夫什茨相互作用。最近开发的任意材料体之间卡西米尔-利夫什茨相互作用的微扰理论被概括为包括非均匀磁导率分布，并用于研究主序内磁电介质异质结构之间的相互作用。超材料被建模为具有不同介电常数和磁导率的二维域阵列。在两个具有平坦边界的半无限体的情况下，当两个物体之间的距离与超材料中图案化特征的波长相当时，材料特性的图案化结构被发现会导致正常的卡西米尔-利夫什茨力产生振荡行为。这种不均匀性还会导致横向卡西米尔-利夫什茨力的出现，这种力随着间隙尺寸变小而增强。我们的结果表明，最近对超材料之间的卡西米尔-利夫什茨力的研究，其目的是检验观察排斥力的可能性，应该重新审视，以包括与实验中相关间隙尺寸一致的数百纳米波长下的图案化结构的影响。
The Casimir-Lifshitz interaction between metamaterials is studied using a model that takes into account the structural heterogeneity of the dielectric and magnetic properties of the bodies. A recently developed perturbation theory for the Casimir-Lifshitz interaction between arbitrary material bodies is generalized to include nonuniform magnetic permeability profiles and used to study the interaction between the magneto-dielectric heterostructures within the leading order. The metamaterials are modeled as two-dimensional arrays of domains with varying permittivity and permeability. In the case of two semi-infinite bodies with flat boundaries, the patterned structure of the material properties is found to cause the normal Casimir-Lifshitz force to develop an oscillatory behavior when the distance between the two bodies is comparable to the wavelength of the patterned features in the metamaterials. The nonuniformity also leads to the emergence of lateral Casimir-Lifshitz forces, which tend to strengthen as the gap size becomes smaller. Our results suggest that the recent studies on Casimir-Lifshitz forces between metamaterials, which have been performed with the aim of examining the possibility of observing the repulsive force, should be revisited to include the effect of the patterned structure at the wavelength of several hundred nanometers that coincides with the relevant gap size in the experiments.