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In a variety of settings we provide a method for decomposing a 3-manifold $M$ into pieces. When the pieces have the appropriate type of hyperbolicity, then the manifold $M$ is hyperbolic and its volume is bounded below by the sum of the…

We study radiative energy transfer between a donor-acceptor pair across a hyperbolic metamaterial slab. We show that similar to a perfect lens a hyperbolic lens allows for giant energy transfer rates. For a realistic realization of a…

Mesoscale and Nanoscale Physics · Physics 2016-09-07 S. -A. Biehs , V. M. Menon , G. S. Agarwal

We introduce the concept of the ``insurgent metamaterial'' -- which is a hyperbolic medium that contains quantum emitters with a forbidden optical transition. We show that the resulting electromagnetic response of the composite is…

Optics · Physics 2023-10-10 Evgenii E. Narimanov

Carefully designed nanostructures can inspire new type of optomechanical interactions and allow surpassing limitations set by classical diffractive optical elements. Apart from strong near-field localization, nanostructured environment…

Moving metasurfaces support guided waves exhibiting unusual optical properties, including strong anisotropy, nonreciprocity, and hyperbolic dispersion. However, for these phenomena to be noticeable, high speeds are typically required,…

Optics · Physics 2020-04-22 Yarden Mazor , Andrea Alù

Nanostructured materials have recently emerged as a promising approach for material appearance design. Research has mainly focused on creating structural colours by wave interference, leaving aside other important aspects that constitute…

Mechanical metamaterials leverage geometric design to achieve unconventional properties, such as high strength at low density, efficient wave guiding, and complex shape morphing. The ability to control shape changes builds on the complex…

Applied Physics · Physics 2025-01-28 Krzysztof K. Dudek , Muamer Kadic , Corentin Coulais , Katia Bertoldi

Computer vision tasks such as image classification, image retrieval and few-shot learning are currently dominated by Euclidean and spherical embeddings, so that the final decisions about class belongings or the degree of similarity are made…

Computer Vision and Pattern Recognition · Computer Science 2020-04-01 Valentin Khrulkov , Leyla Mirvakhabova , Evgeniya Ustinova , Ivan Oseledets , Victor Lempitsky

Nanostructures with one-dimensional periodicity, such as multilayered structures, are currently in the focus of active research in the context of hyperbolic metamaterials and photonic topological structures. An efficient way to describe the…

Optics · Physics 2020-02-26 Maxim A. Gorlach , Mikhail Lapine

In this work, we demonstrate a self-standing bulk three-dimensional metamaterial based on the network of silver nanowires in an alumina membrane. This constitutes an anisotropic effective medium with hyperbolic dispersion, which can be used…

Materials Science · Physics 2015-05-13 M. A. Noginov , Yu. A. Barnakov , G. Zhu , T. Tumkur , H. Li , E. E. Narimanov

The possibility of making an optically large (many wavelengths in diameter) object appear invisible has been a subject of many recent studies. Exact invisibility scenarios for large (relative to the wavelength) objects involve…

Optics · Physics 2015-06-11 Yaroslav Urzhumov , David R. Smith

We present a large scale hyperbolic recommender system. We discuss why hyperbolic geometry is a more suitable underlying geometry for many recommendation systems and cover the fundamental milestones and insights that we have gained from its…

Information Retrieval · Computer Science 2019-02-26 Benjamin Paul Chamberlain , Stephen R. Hardwick , David R. Wardrope , Fabon Dzogang , Fabio Daolio , Saúl Vargas

Designer manipulation of light at the nanoscale is key to several next-generation technologies, from sensing to optical computing. One way to manipulate light is to design a material structured at the sub-wavelength scale, a metamaterial,…

Concealing objects by making them invisible to an external electromagnetic probe is coined by the term cloaking. Cloaking devices, having numerous potential applications, are still face challenges in realization, especially in the visible…

We analyze the performance of a planar lens based on realistic negative index material in a generalized geometry. We demonstrate that the conventional superlens design (where the lens is centered between the object and the image) is not…

Optics · Physics 2016-09-08 Viktor A. Podolskiy , Nicholas A. Kuhta , Graeme W. Milton

The authors introduce a general mechanism, based on electrostatic and magnetostatic considerations, for designing three-dimensional isotopic metamaterials that possess an enhanced refractive index over an extremely large frequency range.…

Optics · Physics 2009-11-13 Jonghwa Shin , Jung-Tsung Shen , Shanhui Fan

Superconducting metamaterials are utilized to study the approach to the plasmonic limit simply by tuning temperature to modify the superfluid density, and thus the superfluid plasma frequency. We examine the persistence of artificial…

Superconductivity · Physics 2013-12-11 C. Kurter , J. Abrahams , G. Shvets , Steven M. Anlage

Photonic hyper-crystals combine the most interesting features of hyperbolic metamaterials and photonic crystals. Since the dispersion law of extraordinary photons in hyperbolic metamaterials does not exhibit the usual diffraction limit,…

Optics · Physics 2019-05-27 Igor I. Smolyaninov

Multilayer metasurfaces (MLMs) represent a versatile type of three-dimensional optical metamaterials that could enable ultra-thin and multi-functional photonic components. Herein we demonstrate an approach to readily fabricate MLMs…

Optics · Physics 2019-09-17 Esteban Bermúdez-Ureña , Ullrich Steiner

Metamaterials, artificially engineered materials consisting of subwavelength unit cell, have shown potentials in light manipulation with their extraordinary optical properties. Especially, topological metamaterials possessing topologically…

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