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Additional boundary condition for the wire medium

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TLDR
In this paper, it was proved that the continuity of the tangential components of the average electric and magnetic fields is insufficient to describe the reflection of plane waves by a set of thin parallel wires embedded in a dielectric host using a homogenization approach.
Abstract
In this paper, it is proved that the continuity of the tangential components of the average electric and magnetic fields is insufficient to describe the reflection of plane waves by a set of thin parallel wires embedded in a dielectric host using a homogenization approach. Based on physical arguments a new boundary condition is proposed to characterize the scattering of waves by the homogenized wire medium. In order to further support the proposed theory, the problem of reflection of a plane wave by a set of semi-infinite parallel wires is solved analytically within the thin-wire approximation. Extensive numerical simulations demonstrate that when the additional boundary condition is considered the agreement between full wave results and homogenization theory is very good even for wavelengths comparable with the lattice constant.

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Citations
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Journal ArticleDOI

Wire metamaterials: physics and applications.

TL;DR: The physics and applications of a broad class of artificial electromagnetic materials composed of lattices of aligned metal rods embedded in a dielectric matrix are reviewed, including a wire medium possessing extreme optical anisotropy.
Journal ArticleDOI

Metamaterial homogenization approach with application to the characterization of microstructured composites with negative parameters

TL;DR: In this paper, the authors developed a self-consistent approach to homogenize arbitrary nonmagnetic periodic metamaterials, which can fully characterize the effects of frequency dispersion, magnetoelectric coupling, and spatial dispersion even in frequency band gaps or when the materials are lossy.
Journal ArticleDOI

Electromagnetic Characterization of Textured Surfaces Formed by Metallic Pins

TL;DR: In this article, a homogenization model was developed to characterize textured surfaces formed by a periodic arrangement of thin metallic pins attached to a conducting ground plane: the ldquoFakir's bed of nailsrdquo substrate.
Journal ArticleDOI

On electromagnetic characterization and homogenization of nanostructured metamaterials

TL;DR: In this paper, the problem of characterization of metamaterials with spatial dispersion effects is addressed and the role of transition layers (perhaps transition sheets) in the characterization is explained.
Journal ArticleDOI

Subwavelength imaging at infrared frequencies using an array of metallic nanorods

TL;DR: In this paper, an array of metallic nanorods enables subwavelength (near-field) imaging at infrared frequencies using an homogenization approach, and it is theoretically proved that under certain conditions the incoming radiation can be transmitted by the array of nanorod over a significant distance with fairly low attenuation.
References
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Book

Electrodynamics of continuous media

TL;DR: In this article, the propagation of electromagnetic waves and X-ray diffraction of X rays in crystals are discussed. But they do not consider the effects of superconductivity on superconducting conductors.
Journal ArticleDOI

Experimental Verification of a Negative Index of Refraction

TL;DR: These experiments directly confirm the predictions of Maxwell's equations that n is given by the negative square root ofɛ·μ for the frequencies where both the permittivity and the permeability are negative.
Journal ArticleDOI

Composite Medium with Simultaneously Negative Permeability and Permittivity

TL;DR: A composite medium, based on a periodic array of interspaced conducting nonmagnetic split ring resonators and continuous wires, that exhibits a frequency region in the microwave regime with simultaneously negative values of effective permeability and permittivity varepsilon(eff)(omega).
Book

Field theory of guided waves

TL;DR: In this paper, the authors present a model for waveguide decomposition in terms of waveguide discontinuities and waveguides and cavities, and apply it to artificial dielectrics.
Journal ArticleDOI

Achieving transparency with plasmonic and metamaterial coatings

TL;DR: Here it is seen how a proper design of these lossless metamaterial covers near their plasma resonance may induce a dramatic drop in the scattering cross section, making these objects nearly "invisible" or "transparent" to an outside observer--a phenomenon with obvious applications for low-observability and noninvasive probe design.
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