A simple and versatile analytical approach for planar metamaterials

Abstract

We present an analytical model which permits the calculation of effective material parameters for planar metamaterials consisting of arbitrary unit cells (metaatoms) formed by a set of straight wire sections of potentially different shape. The model takes advantage of resonant electric dipole oscillations in the wires and their mutual coupling. The pertinent form of the metaatom determines the actual coupling features. This procedure represents a kind of building block model for quite different metaatoms. Based on the parameters describing the individual dipole oscillations and their mutual coupling the entire effective metamaterial tensor can be determined. By knowing these parameters for a certain metaatom it can be systematically modified to create the desired features. Performing such modifications effective material properties as well as the far field intensities remain predictable. As an example the model is applied to reveal the occurrence of optical activity if the split ring resonator metaatom is modified to L- or S-shaped metaatoms.

arXiv comment5 figures, 1 table

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• Basics of averaging of the Maxwell equations for bulk materials
• Optical properties of Fano-resonant metallic metasurfaces on a substrate
• A modal analysis method to describe weak nonlinear effects in metamaterials
• Metamaterial-based polarization control plate for producing incoherent laser irradiation
• Hysteresis assisted narrowband resonances in a chain of nonlinear plasmonic arrays
• Point-dipole approximation for small systems of strongly coupled radiating nanorods