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Journal ArticleDOI

Design of matched zero-index metamaterials using nonmagnetic inclusions in epsilon-near-zero media

27 Feb 2007-Physical Review B (American Physical Society)-Vol. 75, Iss: 7, pp 075119
TL;DR: In this article, the electrodynamics of metamaterials that consist of resonant non-magnetic inclusions embedded in an epsilon-near-zero (ENZ) host medium are studied and analyzed in detail.
Abstract: In this work, we study the electrodynamics of metamaterials that consist of resonant non-magnetic inclusions embedded in an epsilon-near-zero (ENZ) host medium. It is shown that the inclusions can be designed in such a way that both the effective permittivity and permeability of the composite structure are simultaneously zero. Two different metamaterial configurations are studied and analyzed in detail. For a particular class of problems, it is analytically proven that such matched zero-index metamaterials may help improving the transmission through a waveguide bend, and that the scattering parameters may be completely independent of the specific arrangement of the inclusions and of the granularity of the crystal. The proposed concepts are numerically demonstrated at microwaves with a metamaterial realistic realization based on an artificial plasma.

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Citations
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Journal ArticleDOI
TL;DR: This Review presents a broad outline of the whole range of electromagnetic effects observed using all-dielectric metamaterials: high-refractive-index nanoresonators, metasurfaces, zero-index met amaterials and anisotropic metammaterials, and discusses current challenges and future goals for the field at the intersection with quantum, thermal and silicon photonics.
Abstract: The ideal material for nanophotonic applications will have a large refractive index at optical frequencies, respond to both the electric and magnetic fields of light, support large optical chirality and anisotropy, confine and guide light at the nanoscale, and be able to modify the phase and amplitude of incoming radiation in a fraction of a wavelength. Artificial electromagnetic media, or metamaterials, based on metallic or polar dielectric nanostructures can provide many of these properties by coupling light to free electrons (plasmons) or phonons (phonon polaritons), respectively, but at the inevitable cost of significant energy dissipation and reduced device efficiency. Recently, however, there has been a shift in the approach to nanophotonics. Low-loss electromagnetic responses covering all four quadrants of possible permittivities and permeabilities have been achieved using completely transparent and high-refractive-index dielectric building blocks. Moreover, an emerging class of all-dielectric metamaterials consisting of anisotropic crystals has been shown to support large refractive index contrast between orthogonal polarizations of light. These advances have revived the exciting prospect of integrating exotic electromagnetic effects in practical photonic devices, to achieve, for example, ultrathin and efficient optical elements, and realize the long-standing goal of subdiffraction confinement and guiding of light without metals. In this Review, we present a broad outline of the whole range of electromagnetic effects observed using all-dielectric metamaterials: high-refractive-index nanoresonators, metasurfaces, zero-index metamaterials and anisotropic metamaterials. Finally, we discuss current challenges and future goals for the field at the intersection with quantum, thermal and silicon photonics, as well as biomimetic metasurfaces.

1,634 citations

Journal ArticleDOI
TL;DR: This work shows that by employing accidental degeneracy, dielectric photonic crystals can be designed and fabricated that exhibit Dirac cone dispersion at the centre of the Brillouin zone at a finite frequency and numerically and experimentally demonstrates in the microwave regime that these crystals manipulate waves as if they had near-zero refractive indices at and near the Dirac point frequency.
Abstract: A zero-refractive-index metamaterial is one in which waves do not experience any spatial phase change, and such a peculiar material has many interesting wave-manipulating properties. These materials can in principle be realized using man-made composites comprising metallic resonators or chiral inclusions, but metallic components have losses that compromise functionality at high frequencies. It would be highly desirable if we could achieve a zero refractive index using dielectrics alone. Here, we show that by employing accidental degeneracy, dielectric photonic crystals can be designed and fabricated that exhibit Dirac cone dispersion at the centre of the Brillouin zone at a finite frequency. In addition to many interesting properties intrinsic to a Dirac cone dispersion, we can use effective medium theory to relate the photonic crystal to a material with effectively zero permittivity and permeability. We then numerically and experimentally demonstrate in the microwave regime that such dielectric photonic crystals with reasonable dielectric constants manipulate waves as if they had near-zero refractive indices at and near the Dirac point frequency.

806 citations

Journal ArticleDOI
TL;DR: In this paper, the underlying principles and unique optical applications of structures exhibiting near-zero dielectric permittivity and/or magnetic permeability are reviewed, and the timely relevance to nonlinear, non-reciprocal and non-local effects is highlighted.
Abstract: The underlying principles and unique optical applications of structures exhibiting near-zero dielectric permittivity and/or magnetic permeability are reviewed. The timely relevance to nonlinear, non-reciprocal and non-local effects is highlighted. Structures with near-zero parameters (for example, media with near-zero relative permittivity and/or relative permeability, and thus a near-zero refractive index) exhibit a number of unique features, such as the decoupling of spatial and temporal field variations, which enable the exploration of qualitatively different wave dynamics. This Review summarizes the underlying principles and salient features, physical realizations and technological potential of these structures. In doing so, we revisit their distinctive impact on multiple optical processes, including scattering, guiding, trapping and emission of light. Their role in emphasizing secondary responses of matter such as nonlinear, non-reciprocal and non-local effects is also discussed.

636 citations

Journal ArticleDOI
TL;DR: In this article, the authors investigated the theory of the supercoupling, anomalous tunneling effect, and field confinement originally identified by Silveirinha and Engheta and demonstrated the possibility of using materials with permittivity near zero to drastically improve the transmission of electromagnetic energy through a narrow irregular channel with very subwavelength transverse cross section.
Abstract: In this work, we investigate the detailed theory of the supercoupling, anomalous tunneling effect, and field confinement originally identified by Silveirinha and Engheta [Phys. Rev. Lett. 97, 157403 (2006)], where we demonstrated the possibility of using materials with permittivity $\ensuremath{\epsilon}$ near zero to drastically improve the transmission of electromagnetic energy through a narrow irregular channel with very subwavelength transverse cross section. Here, we present additional physical insights, describe applications of the tunneling effect in relevant waveguide scenarios (e.g., the ``perfect'' or ``super'' waveguide coupling), and study the effect of metal losses in the metallic walls and the possibility of using near-zero $\ensuremath{\epsilon}$ materials to confine energy in a subwavelength cavity with gigantic field enhancement. In addition, we systematically study the propagation of electromagnetic waves through narrow channels filled with anisotropic near-zero $\ensuremath{\epsilon}$ materials. It is demonstrated that these materials may have interesting potentials, and that for some particular geometries, the reflectivity of the channel is independent of the specific dimensions or parameters of near-zero $\ensuremath{\epsilon}$ transition. We also describe several realistic metamaterial implementations of the studied problems, based on standard metallic waveguides, microstrip line configurations, and wire media.

315 citations

Journal ArticleDOI
TL;DR: In this paper, an accurate homogenized description of periodic metamaterials made of magnetodielectric inclusions was derived, highlighting and overcoming relevant limitations of standard homogenization methods.
Abstract: We derive from first principles an accurate homogenized description of periodic metamaterials made of magnetodielectric inclusions, highlighting and overcoming relevant limitations of standard homogenization methods. We obtain closed-form expressions for the effective constitutive parameters, pointing out the relevance of inherent spatial dispersion effects, present even in the long-wavelength limit. Our results clarify the limitations of quasistatic homogenization models, restore the physical meaning of homogenized metamaterial parameters, and outline the reasons behind magnetoelectric coupling effects that may arise also in the case of centersymmetric inclusions.

306 citations

References
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Book
01 Jan 1962

24,003 citations

Book
01 Jan 1960
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.
Abstract: Electrostatics of conductors Static magnetic field Superconductivity The propagation of electromagnetic waves Spatial dispersion Diffraction of X rays in crystals.

12,543 citations

Journal ArticleDOI
TL;DR: The IEEE Antennas and Propagation Society (IAPS) as mentioned in this paper is devoted to the rapid publication of new theoretical and experimental results in all areas of interest to the IEEE.
Abstract: This archival journal is devoted to the rapid publication of new theoretical and experimental results in all areas of interest to the IEEE Antennas and Propagation Society, such as antennas and arrays, wireless propagation, scattering, electromagnetic theory, biomedical applications, electronic properties of materials, high- and low-frequency methods, and numerical techniques in electromagnetics.

56 citations