Investigation of the fishnet design for optical meta-materials with negative index, determination of appropriate scalings and rigorous derivation of the effective index

在自然界中，我们知道两种不同的光学介质：通常的透明介质和不透明介质。由于智能光学超材料的发明，有可能设计出具有定性新光学行为的介质：具有负折射率的左手介质。与此同时，这些超材料已经建立，定性预测是可能的，并且在光学频率范围内的实验证实了左手行为。相反，有效系数的数学描述公式只适用于原始的分裂环几何形状。拟议项目的目的是将分析扩展到现代设计，如渔网。

In nature, we know two different classes of optical media: usual transparent media and opaque media. Since the invention of smart optical meta-materials, it is possible to design media with a qualitatively new optical behavior: Left handed media with a negative index of refraction. These meta-materials are meanwhile well-established, qualitative predictions are possible and experiments up to the range of optical frequencies verified the left-handed behavior. Instead, a mathematical description with formulas for the effective coefficients is available with only for the original split ring geometry. The aim of the proposed project is to extend the analysis to modern designs like the fishnet.