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.

在本质上，我们知道两个不同类别的光学媒体：通常的透明媒体和不透明的媒体。由于智能光学元材料的发明，可以设计具有质量新的光学行为的媒体：左手介质具有负折射索引。同时，这些元物质是可能的，定性预测是可能的，并且实验至左手行为验证的光频率范围。取而代之的是，仅适用于原始的拆分几何形状，可提供带有有效系数的公式的数学描述。拟议项目的目的是将分析扩展到诸如渔网之类的现代设计。

项目成果

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

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

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

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