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Open AccessJournal ArticleDOI

Peculiarities in the dielectric response of negative-permittivity scatterers

Ari Sihvola
- 01 Jan 2006 - 
- Vol. 66, pp 191-198
TLDR
In this article, the polarizability properties of spherically layered small inclusions that possess negative permittivity were analyzed and conditions for invisibility to external electric fields were derived.
Abstract
This study analyzes polarizability properties of spherically layered small inclusions that possess negative permittivity. Conditions for invisibility to external electric fields are derived. The complementary principle for two-dimensional scatterers is used to derive special properties of self-complementary inclusions. A singular behavior between the limits of invisibility and infinite response is underlined for a hollow circular shell. A similar,although not as drastic,phenomenon is shown to take place for the three-dimensional hollow sphere.

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Citations
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Journal ArticleDOI

Electromagnetic Wave Interactions with a Metamaterial Cloak

TL;DR: Analytically the interactions of electromagnetic wave with a general class of spherical cloaks based on a full wave Mie scattering model is established and it is shown that for an ideal cloak the total scattering cross section is absolutely zero, but for a cloak with a specific type of loss, only the backscattering is exactly zero.
Journal ArticleDOI

Design and analytical full-wave validation of the invisibility cloaks, concentrators, and field rotators created with a general class of transformations

TL;DR: In this paper, the authors investigated a general class of electromagnetic devices created with any continuous transformation functions by rigorously calculating the analytical expressions of the electromagnetic field in the whole space, and they proposed a spherical field rotator which functions as not only a wave vector rotator but also a polarization rotator depending on the orientations of the spherical rotator with respect to the incident wave direction.
Journal ArticleDOI

Extraordinary surface voltage effect in the invisibility cloak with an active device inside.

TL;DR: The electromagnetic field solution for a spherical invisibility cloak with an active device inside is established, and the surface voltages due to an electric dipole inside the concealed region are found equal to the auxiliary scalar potentials at the inner boundary.
Journal ArticleDOI

The Interaction of Radio-Frequency Fields With Dielectric Materials at Macroscopic to Mesoscopic Scales

TL;DR: Radio-frequency (RF) electromagnetic interactions with solid and liquid materials from the macroscale to the nanoscale is overviewed, and wavelength and material length scales required to define permittivity in materials are discussed.
Journal ArticleDOI

Directive Emission Obtained by Coordinate Transformation

TL;DR: In this paper, coordinate transformation theory is used to realize substrates that can modify the emission of an embedded source, and it is shown that with proper transformation functions the energy radiated by a source embedded in these space variant media will be concentrated in a narrow beam.
References
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Journal ArticleDOI

Optical Conformal Mapping

TL;DR: A general recipe for the design of media that create perfect invisibility within the accuracy of geometrical optics is developed, which can be applied to escape detection by other electromagnetic waves or sound.
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.
Book

Electromagnetic mixing formulas and applications

Ari Sihvola
TL;DR: In this article, the mathematical analysis of macroscopic dielectric and magnetic properties of geophysical, biological and other materials, including special reference to chiral and nonlinear material, the effects of structure and anistrophy are discussed in detail.
Journal ArticleDOI

Conductivity of a Medium Containing a Dense Array of Perfectly Conducting Spheres or Cylinders or Nonconducting Cylinders

TL;DR: In this paper, it was shown that for any value of f, σ/σ0 for a medium containing a square array of nonconducting cylinders is the reciprocal of σ for the same array of perfectly conducting circular cylinders.
Journal ArticleDOI

Resonant Behavior of Dielectric Objects (Electrostatic Resonances)

TL;DR: Scale invariance of resonance frequencies, unusually strong orthogonality properties of resonance modes, and a two-dimensional phenomenon of "twin" spectra are reported.
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