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

研究负折射率光学超材料的鱼网设计，确定适当的缩放比例并严格推导有效折射率

• 批准号: 192746492
• 负责人: Professor Dr. Ben Schweizer
• 金额: --
• 依托单位: Lehrstuhl I: Analysis
• 依托单位国家: 德国
• 项目类别: Research Grants
• 财政年份: 2011
• 资助国家: 德国
• 起止时间: 2010-12-31 至 2012-12-31
• 项目状态: 已结题
• 来源: https://gepris.dfg.de/gepris/projekt/192746492?language=en
• 关键词: Investigation; fishnet; design; optical; meta

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.

在自然界中，我们知道两种不同类型的光学介质：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，有可能设计具有全新光学行为的介质：具有负折射率的左手介质。这些超材料同时是完善的，定性的预测是可能的，实验到光学频率范围验证了左手行为。相反，有效系数公式的数学描述仅适用于原始开口环几何形状。该项目的目的是将分析扩展到现代设计，如渔网。

项目成果

A Variational Perspective on Cloaking by Anomalous Localized Resonance

• DOI: 10.1007/s00220-014-1943-y
• 发表时间: 2012-10
• 期刊: Communications in Mathematical Physics
• 影响因子: 2.4
• 作者: R. Kohn;Jianfeng Lu;B. Schweizer;M. Weinstein

Effective Maxwell Equations in a Geometry with Flat Rings of Arbitrary Shape

任意形状平环几何中的有效麦克斯韦方程组

• DOI: 10.1137/120874321
• 发表时间: 2013
• 期刊: SIAM J. Math. Anal.
• 作者: A. Lamacz;B. Schweizer
• 通讯作者: B. Schweizer

Bloch-Wave Homogenization on Large Time Scales and Dispersive Effective Wave Equations

大时间尺度上的布洛赫波均匀化和色散有效波动方程

• DOI: 10.1137/130935033
• 发表时间: 2013
• 期刊: Multiscale Model. Simul.
• 作者: A. Lamacz;T. Dohnal;B.Schweizer
• 通讯作者: B.Schweizer

Plasmonic waves allow perfect transmission through sub-wavelength metallic gratings

等离子波允许通过亚波长金属光栅完美传输

• DOI: 10.3934/nhm.2013.8.857
• 发表时间: 2013
• 期刊: Networks Heterog. Media
• 作者: G. Bouchitté;B. Schweizer
• 通讯作者: B. Schweizer