Determination of Effective Permittivity and Permeability of Metamaterials from Reflection a.pdf

PREPRINT Page 1 2/13/2002 Determination of Negative Permittivity and Permeability of Metamaterials from Reflection and Transmission Coefficients D. R. Smith, S. Schultz Department of Physics, University of California, San Diego, 9500 Gilman Drive, La Jolla, CA 92093-0319 * P. Markoš , C. M. Soukoulis Ames Laboratory and Department of Physics and Astronomy, Iowa State University, Ames, Iowa 50011 (Submitted 26 November 2001) We analyze the reflection and transmission coefficients calculated from transfer matrix simulations on finite lengths of electromagnetic metamaterials, to determine the effective permittivity (ε) and permeability (µ). We perform this analysis on structures composed of periodic arrangements of wires, split ring resonators (SRRs) and both wires and SRRs. We find the recovered frequency-dependent ε and µ are entirely consistent with analytic expressions predicted by effective medium arguments. Of particular relevance are that a wire medium exhibits a frequency region in which the real part of ε is negative, and SRRs produce a frequency region in which the real part of µ is negative. In the combination structure, at frequencies where