5 October 2005 Determining the sign of the index in metamaterials composed of split ring resonators and strip wires using dispersion diagrams or the insertion phase
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Abstract
Using full wave simulations the behavior of two structures composed of split ring resonators (SRRs) and strip wires (SWs) is examined. In the region where the real parts of the permittivity and permeability are both expected to be negative both structures exhibit a transmission peak, a property which is generally assumed to imply a negative index of refraction. However, through an analysis of the dispersion characteristics and insertion phase of the two structures it is shown that only the index in the first structure, in which the SRRs and SWs are printed on opposite sides of a dielectric substrate, is negative in the passband. In the second structure, in which SRRs and SWs are printed on the same side of the substrate, the index in the passband is positive. Therefore the emergence of transmission peaks does not provide sufficient evidence of the existence of a negative index of refraction. To determine the correct sign of the index two methods are investigated. The first uses the transmission phase for propagation through various lengths of the structure and the second utilizes its dispersion diagrams. The dependence of the sign of the index on the dimensions of the unit cell size is also examined.
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J. F. Woodley, M. S. Wheeler, M. Mojahedi, "Determining the sign of the index in metamaterials composed of split ring resonators and strip wires using dispersion diagrams or the insertion phase", Proc. SPIE 5971, Photonic Applications in Nonlinear Optics, Nanophotonics, and Microwave Photonics, 59711O (5 October 2005); doi: 10.1117/12.630657; https://doi.org/10.1117/12.630657
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