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Phys Rev E Stat Nonlin Soft Matter Phys. 2011 Jun;83(6 Pt 2):066603. Epub 2011 Jun 16.

Group-theory approach to tailored electromagnetic properties of metamaterials: an inverse-problem solution.

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1
Sandia National Laboratories, PO Box 5800, Albuquerque, New Mexico 87185, USA.

Abstract

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.

PMID:
21797503
DOI:
10.1103/PhysRevE.83.066603
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