Effects of Spatial Dispersion on Reflection from Mushroom-type Artificial Impedance Surfaces

Abstract

Several recent works have emphasized the role of spatial dispersion in wire media, and demonstrated that arrays of parallel metallic wires may behave very differently from a uniaxial local material with negative permittivity. Here, we investigate using local and non-local homogenization methods the effect of spatial dispersion on reflection from the mushroom structure introduced by Sievenpiper. The objective of the paper is to clarify the role of spatial dispersion in the mushroom structure and demonstrate that under some conditions it is suppressed. The metamaterial substrate, or metasurface, is modeled as a wire medium covered with an impedance surface. Surprisingly, it is found that in such configuration the effects of spatial dispersion may be nearly suppressed when the slab is electrically thin, and that the wire medium can be modeled very accurately using a local model. This result paves the way for the design of artificial surfaces that exploit the plasmonic-type response of the wire medium slab.

submitted for publication, under review

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• Boundary Effects on the Determination of Metamaterial Parameters from Normal Incidence Reflection and Transmission Measurements
• A Simple Equivalent Circuit Approach for Anisotropic Frequency Selective Surfaces and Metasurfaces
• Radiation from elementary sources in a uniaxial wire medium
• Asymmetric Transmission and Isolation in Nonlinear Devices: Why They Are Different
• Bistability in mushroom-type metamaterials
• Macroscopic Modeling of Anomalously Reflecting Metasurfaces: Angular Response and Far-Field Scattering
• Effective Local Permittivity Model for Non-Local Wire Media
• Transparent lattices and their solitary waves
• An Equivalent ABCD-Matrix Formalism for Non-Local Wire Media with Arbitrary Terminations