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Hyperbolic metamaterials

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TLDR
In this paper, the authors review some of the recent developments in the field of hyperbolic dispersion of metamaterials and their applications in a variety of phenomena, from spontaneous emission to light propagation and scattering.
Abstract
Metamaterials with hyperbolic dispersion (where two eigenvalues of the dielectric permittivity tensor have opposite signs) exhibit a broad bandwidth singularity in the photonic density of states, with resulting manifestations in a variety of phenomena, from spontaneous emission to light propagation and scattering. In this tutorial, I will review some of the recent developments in this field.

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Citations
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Broadband single-phase hyperbolic elastic metamaterials for super-resolution imaging

TL;DR: The present research provides a novel and general design methodology for exploring the HEMMs with unrevealed mechanisms and guides the ultrasonography and general biomedical applications.
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Topology optimization for hyperbolic acoustic metamaterials using a high-frequency homogenization method

TL;DR: In this paper, a level set-based topology optimization method for the design of hyperbolic acoustic metamaterials using a high-frequency homogenization method was proposed, where the macroscopic wave behavior of periodic structures can be obtained even if the wavelength of impinging acoustic waves is comparable to the size of the unit cell.
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Optical properties of a one-dimensional photonic crystal containing a graphene-based hyperbolic metamaterial defect layer.

TL;DR: The transmission properties of a one-dimensional defective photonic crystal have been investigated using the transfer matrix method and it is shown that two kinds of the defect modes can be found in the band gaps of the structure for TM-polarized waves.
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Far-Field Subwavelength Imaging Using Phase Gradient Metasurfaces

TL;DR: In this article, a far-field imaging technique based on gradiant metasurfaces was proposed to provide an image of subwavelength features of an object, which is in close relationship with extracting information included in evanescent waves scattered from the object.
References
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Book

Photonic Crystals: Molding the Flow of Light

TL;DR: In this paper, the authors developed the theoretical tools of photonics using principles of linear algebra and symmetry, emphasizing analogies with traditional solid-state physics and quantum theory, and investigated the unique phenomena that take place within photonic crystals at defect sites and surfaces, from one to three dimensions.
Journal ArticleDOI

Optical Hyperlens: Far-field imaging beyond the diffraction limit.

TL;DR: In this article, an approach to far-field optical imaging beyond the diffraction limit is proposed, which allows image magnification, is robust with respect to material losses and can be fabricated by adapting existing metamaterial technologies in a cylindrical geometry.
Journal ArticleDOI

On the Surface States Associated with a Periodic Potential

TL;DR: In this article, the wave functions and energy levels associated with a finite one-dimensional periodic potential field are investigated and the surface levels appear only at lattice constants so small that the boundary curves for the allowed energy bands have crossed.
Journal ArticleDOI

Negative refraction in semiconductor metamaterials.

TL;DR: A comparatively low-loss, three-dimensional, all-semiconductor metamaterial that exhibits negative refraction for all incidence angles in the long-wave infrared region and requires only an anisotropic dielectric function with a single resonance is demonstrated.
Proceedings ArticleDOI

Optical hyperlens: far-field imaging beyond the diffraction limit

TL;DR: In this article, an approach to far-field optical imaging beyond the diffraction limit is proposed, which can be fabricated by adapting existing ∼metamaterial technologies in a cylindrical geometry.
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