期刊
出版社
ROYAL SOC
DOI: 10.1098/rspa.2012.0533
关键词
metamaterials; cloaking; negative refraction; homogenization
资金
- EPSRC (UK) [EP/I018948/1, EP/J009636/1]
- University of Aix-Marseille
- ERC
- Engineering and Physical Sciences Research Council [EP/I018948/1] Funding Source: researchfish
- EPSRC [EP/I018948/1] Funding Source: UKRI
Metamaterial and photonic crystal structures are central to modern optics and are typically created from multiple elementary repeating cells. We demonstrate how one replaces such structures asymptotically by a continuum, and therefore by a set of equations, that captures the behaviour of potentially high-frequency waves propagating through a periodic medium. The high-frequency homogenization that we use recovers the classical homogenization coefficients in the low-frequency long-wavelength limit. The theory is specifically developed in electromagnetics for two-dimensional square lattices where every cell contains an arbitrary hole with Neumann boundary conditions at its surface and implemented numerically for cylinders and split-ring resonators. Illustrative numerical examples include lensing via all-angle negative refraction, as well as omni-directive antenna, endoscope and cloaking effects. We also highlight the importance of choosing the correct Brillouin zone and the potential of missing interesting physical effects depending upon the path chosen.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据