Abstract
We analyze the reflection and transmission coefficients calculated from transfer matrix simulations on finite lenghts of electromagnetic metamaterials, to determine the effective permittivity and permeability. 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 permittivity and permeability 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 permittivity is negative, and SRRs produce a frequency region in which the real part of permeability is negative. In the combination structure, at frequencies where both the recovered real part of permittivity and permeability are simultaneously negative, the real part of the index-of-refraction is found also to be unambigously negative.
Keywords
PermittivityMetamaterialPhysicsNegative refractionSplit-ring resonatorReflection (computer programming)Transfer matrixResonatorCondensed matter physicsFrequency dependenceOpticsComputational physicsQuantum mechanicsDielectricNuclear magnetic resonanceComputer science
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Publication Info
- Year
- 2002
- Type
- article
- Volume
- 65
- Issue
- 19
- Citations
- 2849
- Access
- Closed
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Cite This
David R. Smith,
S. Schultz,
P. Markoš
et al.
(2002).
Determination of effective permittivity and permeability of metamaterials from reflection and transmission coefficients.
Physical review. B, Condensed matter
, 65
(19)
.
https://doi.org/10.1103/physrevb.65.195104
Identifiers
- DOI
- 10.1103/physrevb.65.195104