Skip to main content

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

Publication ,  Journal Article
Smith, DR; Schultz, S; Markoš, P; Soukoulis, CM
Published in: Physical Review B - Condensed Matter and Materials Physics
January 1, 2002

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 both the recovered real parts of ε and µ are simultaneously negative, the real part of the index of refraction is also found to be unambiguously negative. © 2002 The American Physical Society.

Duke Scholars

Altmetric Attention Stats
Dimensions Citation Stats

Published In

Physical Review B - Condensed Matter and Materials Physics

DOI

EISSN

1550-235X

ISSN

1098-0121

Publication Date

January 1, 2002

Volume

65

Issue

19

Start / End Page

1 / 5

Related Subject Headings

  • Fluids & Plasmas
  • 09 Engineering
  • 03 Chemical Sciences
  • 02 Physical Sciences
 

Citation

APA
Chicago
ICMJE
MLA
NLM
Smith, D. R., Schultz, S., Markoš, P., & Soukoulis, C. M. (2002). Determination of effective permittivity and permeability of metamaterials from reflection and transmission coefficients. Physical Review B - Condensed Matter and Materials Physics, 65(19), 1–5. https://doi.org/10.1103/PhysRevB.65.195104
Smith, D. R., S. Schultz, P. Markoš, and C. M. Soukoulis. “Determination of effective permittivity and permeability of metamaterials from reflection and transmission coefficients.” Physical Review B - Condensed Matter and Materials Physics 65, no. 19 (January 1, 2002): 1–5. https://doi.org/10.1103/PhysRevB.65.195104.
Smith DR, Schultz S, Markoš P, Soukoulis CM. Determination of effective permittivity and permeability of metamaterials from reflection and transmission coefficients. Physical Review B - Condensed Matter and Materials Physics. 2002 Jan 1;65(19):1–5.
Smith, D. R., et al. “Determination of effective permittivity and permeability of metamaterials from reflection and transmission coefficients.” Physical Review B - Condensed Matter and Materials Physics, vol. 65, no. 19, Jan. 2002, pp. 1–5. Scopus, doi:10.1103/PhysRevB.65.195104.
Smith DR, Schultz S, Markoš P, Soukoulis CM. Determination of effective permittivity and permeability of metamaterials from reflection and transmission coefficients. Physical Review B - Condensed Matter and Materials Physics. 2002 Jan 1;65(19):1–5.

Published In

Physical Review B - Condensed Matter and Materials Physics

DOI

EISSN

1550-235X

ISSN

1098-0121

Publication Date

January 1, 2002

Volume

65

Issue

19

Start / End Page

1 / 5

Related Subject Headings

  • Fluids & Plasmas
  • 09 Engineering
  • 03 Chemical Sciences
  • 02 Physical Sciences