• Milestone

Determination of effective permittivity and permeability of metamaterials from reflection and transmission coefficients

D. R. Smith, S. Schultz, P. Markoš, and C. M. Soukoulis
Phys. Rev. B 65, 195104 – Published 19 April 2002
An article within the collection: Physical Review B 50th Anniversary Milestones
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Abstract

We analyze the reflection and transmission coefficients calculated from transfer matrix simulations on finite lengths of electromagnetic metamaterials, to determine the effective permittivity (ɛ) 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 ɛ 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 ɛ is negative, and SRRs produce a frequency region in which the real part of μ is negative. In the combination structure, at frequencies where both the recovered real parts of ɛ and μ are simultaneously negative, the real part of the index of refraction is also found to be unambiguously negative.

  • Received 26 November 2001

DOI:https://doi.org/10.1103/PhysRevB.65.195104

©2002 American Physical Society

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This article appears in the following collection:

Physical Review B 50th Anniversary Milestones

These Milestone studies represent lasting contributions to physics by way of reporting significant discoveries, initiating new areas of research, or substantially enhancing the conceptual tools for making progress in the burgeoning field of condensed matter physics.

Authors & Affiliations

D. R. Smith* and S. Schultz

  • Department of Physics, University of California, San Diego, 9500 Gilman Drive, La Jolla, California 92093-0319

P. Markoš and C. M. Soukoulis

  • Ames Laboratory and Department of Physics and Astronomy, Iowa State University, Ames, Iowa 50011

  • *Corresponding author; email address: drs@sdss.ucsd.edu
  • Permanent address: Institute of Physics, Slovak Academy of Sciences, Dúbravska cesta 9, 842 28 Bratislava, Slovakia.

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Issue

Vol. 65, Iss. 19 — 15 May 2002

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