Abstract

Over the past several years, metamaterials have been introduced and rapidly been adopted as a means of achieving unique electromagnetic material response. In metamaterials, artificially structured—often periodically positioned—inclusions replace the atoms and molecules of conventional materials. The scale of these inclusions is smaller than that of the electromagnetic wavelength of interest, so that a homogenized description applies. We present a homogenization technique in which macroscopic fields are determined via averaging the local fields obtained from a full-wave electromagnetic simulation or analytical calculation. The field-averaging method can be applied to homogenize any periodic structure with unit cells having inclusions of arbitrary geometry and material. By analyzing the dispersion diagrams and retrieved parameters found by field averaging, we review the properties of several basic metamaterial structures.

Keywords

MetamaterialHomogenization (climate)Electromagnetic fieldWavelengthElectromagnetic radiationPhysicsOpticsMaterials scienceAcousticsQuantum mechanics

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Publication Info

Year
2006
Type
article
Volume
23
Issue
3
Pages
391-391
Citations
587
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Closed

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David R. Smith, J. B. Pendry (2006). Homogenization of metamaterials by field averaging (invited paper). Journal of the Optical Society of America B , 23 (3) , 391-391. https://doi.org/10.1364/josab.23.000391

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DOI
10.1364/josab.23.000391