A metamaterial surface, composed of a periodic arrangement of Hilbert Curve inclusions above a conducting ground plane, is analyzed numerically and is shown to possess the properties of a high impedance surface by investigating the phase and magnitude of the reflection coefficient, Γ, for a plane wave of normal incidence. A parametric study is presented with respect to the iteration order of the Hilbert curve, the surface height above the ground plane, and the separation distance between the neighboring Hilbert elements within the surface array.
KeywordsArtificial magnetic conductor, complex surface, high impedance ground plane, Hilbert curve, metamaterial This material is posted here with permission of the IEEE. Such permission of the IEEE does not in any way imply IEEE endorsement of any of the University of Pennsylvania's products or services. Internal or personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution must be obtained from the IEEE by writing to pubs-permissions@ieee.org. By choosing to view this document, you agree to all provisions of the copyright laws protecting it.This journal article is available at ScholarlyCommons: http://repository.upenn.edu/ese_papers/6 130 IEEE MICROWAVE AND WIRELESS COMPONENTS LETTERS, VOL. 14, NO. 3, MARCH 2004 High Impedance Metamaterial Surfaces Using Hilbert-Curve Inclusions John McVay, Nader Engheta, Fellow, IEEE, and Ahmad Hoorfar, Senior Member, IEEE Abstract-A metamaterial surface, composed of a periodic arrangement of Hilbert Curve inclusions above a conducting ground plane, is analyzed numerically and is shown to possess the properties of a high impedance surface by investigating the phase and magnitude of the reflection coefficient, 0, for a plane wave of normal incidence. A parametric study is presented with respect to the iteration order of the Hilbert curve, the surface height above the ground plane, and the separation distance between the neighboring Hilbert elements within the surface array.Index Terms-Artificial magnetic conductor, complex surface, high impedance ground plane, Hilbert curve, metamaterial.