Reinke Charles M, De la Mata Luque Teofilo M, Su Mehmet F, Sinclair Michael B, El-Kady Ihab
Sandia National Laboratories, PO Box 5800, Albuquerque, New Mexico 87185, USA.
Phys Rev E Stat Nonlin Soft Matter Phys. 2011 Jun;83(6 Pt 2):066603. doi: 10.1103/PhysRevE.83.066603. Epub 2011 Jun 16.
The problem of designing electromagnetic metamaterials is complicated by the pseudo-infinite parameter space governing such materials. We present a general solution based on group theory for the design and optimization of the electromagnetic properties of metamaterials. Using this framework, the fundamental properties of a metamaterial design, such as anisotropy or magnetic or electrical resonances, can be elucidated based on the symmetry class into which the unit cell falls. This provides a methodology for the inverse problem of design of the electromagnetic properties of a metamaterial. We also present simulations of a zia metamaterial that provides greater design flexibility for tuning the resonant properties of the device than a structure based on a simple split-ring resonator. The power of this zia element is demonstrated by creating bianisotropic, chiral, and biaxial designs using the inverse group-theory procedure outlined in this paper.
设计电磁超材料的问题因支配此类材料的伪无限参数空间而变得复杂。我们提出了一种基于群论的通用解决方案，用于超材料电磁特性的设计和优化。利用这个框架，可以根据晶胞所属的对称类来阐明超材料设计的基本特性，如各向异性或磁谐振或电谐振。这为超材料电磁特性设计的逆问题提供了一种方法。我们还展示了一种zia超材料的模拟，与基于简单裂环谐振器的结构相比，它为调整器件的谐振特性提供了更大的设计灵活性。通过使用本文概述的逆群论程序创建双各向异性、手性和双轴设计，证明了这种zia元件的强大功能。
