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arXiv 1410.4166physics.optics
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二维裂环晶格中导模的色散

Dispersion of guided modes in two-dimensional split ring lattices

Per Lunnemann, A. Femius Koenderink

摘要:

我们提出了一个半解析点偶极子方法,使用埃瓦尔德晶格求和找到的引导等离子体和双各向异性模式的色散关系的超表面组成的任意强散射的磁电偶极散射体的2D周期性晶格。该方法自洽地考虑了所有的滞后电动相互作用以及辐射阻尼。作为例证,我们分析了等离子体纳米棒晶格和2D开口环谐振器晶格的色散。等离子体纳米棒晶格支持横向和纵向平面内电模式。具有面内电和面外磁极化率但没有固有磁电耦合的散射体导致两个带,这两个带是纯电晶格和纯磁晶格的带的混合物。因此,通过相互耦合的双各向异性,在没有积木双各向异性,是显而易见的。一旦强双各向异性被包括在每个构建块中,布洛赫模式变得甚至更强磁电。我们的研究结果对于理解超颖表面和超颖材料设计的空间色散和双各向异性具有重要意义。

英文摘要:

We present a semi-analytical point-dipole method that uses Ewald lattice summation to find the dispersion relation of guided plasmonic and bianisotropic modes in metasurfaces composed of 2D periodic lattices of arbitrarily strongly scattering magneto-electric dipole scatterers. This method takes into account all retarded electrodynamic interactions as well as radiation damping selfconsistently. As illustration we analyze the dispersion of plasmon nanorod lattices, and of 2D split ring resonator lattices. Plasmon nanorod lattices support transverse and longitudinal in-plane electric modes. Scatterers that have an in-plane electric and out-of-plane magnetic polarizability, but without intrinsic magnetoelectric coupling, result in two bands that are mixtures of the bands of electric-only and magnetic-only lattices. Thereby bianisotropy through mutual coupling, in absence of building-block bianisotropy, is evident. Once strong bi-anisotropy is included in each building block, the Bloch modes become even more strongly magnetoelectric. Our results are important to understand spatial dispersion and bianisotropy of metasurface and metamaterial designs.

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