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

By David R. Smith, S. Schultz, P. Markoš, Costas M. Soukoulis. 2001

2,804 citations recorded by the source corpus.

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

Subfields: Aerospace Engineering, Electronic, Optical and Magnetic Materials

View Paper: https://www.semanticscholar.org/paper/903b85d4cff29edb049a3b1a1cb5139c3ceb69bf

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In Aerospace Engineering

In Electronic, Optical and Magnetic Materials

Citations in the corpus

Metantenna: When Metasurface Meets Antenna Again (2020, background): “Assemblies of such meta-atoms, termed as metamaterials, can be described approximately as a homogenous bulky EM material using the effective medium theory [10], [11].”
Chiral metamaterials: from optical activity and negative refractive index to asymmetric transmission (2013, methodology): “The retrieval of the effective refractive index on the basis of the transmission and reflection parameters is a convenient and useful tool for characterizing a designed metamaterial [43–47].”
Metamaterial Insulator Enabled Superdirective Array (2007, background): “5, the effective permittivity and permeability of the material can be determined [18], [19].”
Directivity Enhancement to Vivaldi Antennas Using Compactly Anisotropic Zero-Index Metamaterials (2011, methodology): “With the help of the standard retrieval procedure [14], the effective permittivity and permeability are obtained, as illustrated in Fig.”