title: Group-theory approach to tailored electromagnetic properties of metamaterials: an inverse-problem solution.
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.
authors.affiliation: Sandia National Laboratories, PO Box 5800, Albuquerque, New Mexico 87185, USA.
authors.forename: Charles M
authors.initials: CM
authors.lastname: Reinke
authors.forename: Teofilo M
authors.initials: TM
authors.lastname: De la Mata Luque
authors.forename: Mehmet F
authors.initials: MF
authors.lastname: Su
authors.forename: Michael B
authors.initials: MB
authors.lastname: Sinclair
authors.forename: Ihab
authors.initials: I
authors.lastname: El-Kady