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arXiv 0908.2393physics.optics
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光学鱼网形超材料有效材料参数的有效性

Validity of effective material parameters for optical fishnet metamaterials

Christoph Menzel, Thomas Paul, Carsten Rockstuhl, Thomas Pertsch, Sergei Tretyakov, Falk Lederer

摘要:

虽然显示人工磁性的光学超材料是介观系统,但它们经常被描述为有效材料参数。但由于固有的非局域(或空间色散)效应,可以预料,这种方法通常只是一个粗略的近似,是没有物理意义的。为了研究关于分配的有效材料参数的限制,我们提出了一种技术来检索的有效介电常数和磁导率张量的频率相关元素的任意角度的入射和应用的方法示例性的渔网超材料。事实证明,对于渔网超材料,只有在对波长/晶胞尺寸比施加相当严格的约束时,才能引入真正的有效材料参数。不幸的是,它们仅在远离引起这种渔网超材料的许多设想应用所需的磁响应的共振的地方才能满足。我们的工作清楚地表明,当代光学超材料的介观性质和相关的空间色散,显示人工磁性禁止传统的有效材料参数的有意义的介绍。

英文摘要:

Although optical metamaterials that show artificial magnetism are mesoscopic systems, they are frequently described in terms of effective material parameters. But due to intrinsic nonlocal (or spatially dispersive) effects it may be anticipated that this approach is usually only a crude approximation and is physically meaningless. In order to study the limitations regarding the assignment of effective material parameters, we present a technique to retrieve the frequency-dependent elements of the effective permittivity and permeability tensors for arbitrary angles of incidence and apply the method exemplarily to the fishnet metamaterial. It turns out that for the fishnet metamaterial, genuine effective material parameters can only be introduced if quite stringent constraints are imposed on the wavelength/unit cell size ratio. Unfortunately they are only met far away from the resonances that induce a magnetic response required for many envisioned applications of such a fishnet metamaterial. Our work clearly indicates that the mesoscopic nature and the related spatial dispersion of contemporary optical metamaterials that show artificial magnetism prohibits the meaningful introduction of conventional effective material parameters.

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