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The diffractive nature of light has limited optics and photonics to operate at scales much larger than the wavelength of light. The major challenge in scaling-down integrated photonics is how to mold the light flow below diffraction-limit…

Optics · Physics 2007-12-27 Seunghoon Han , Yi Xiong , Dentcho Genov , Zhaowei Liu , Guy Bartal , Xiang Zhang

Artificially structured metamaterials have enabled unprecedented flexibility in manipulating electromagnetic waves and producing new functionalities, including the cloak of invisibility based on coordinate transformation. Here we present…

We study numerically, by means of the pseudospectral time-domain method, the unique features of imaging by a flat lens made of a left-handed metamaterial that possesses the property of negative refraction. We confirm the earlier finding…

Optics · Physics 2009-11-10 Michael W. Feise , Yuri S. Kivshar

According to the holographic principle, the description of a volume of space can be thought of as encoded on its boundary. Holographic principle establishes equivalence, or duality, between theoretical description of volume physics, which…

Optics · Physics 2015-06-18 Igor I. Smolyaninov

With the example of the spherically symmetric scalar wave equation on Minkowski space-time we demonstrate that a fully pseudospectral scheme (i.e. spectral with respect to both spatial and time directions) can be applied for solving…

General Relativity and Quantum Cosmology · Physics 2010-11-05 Jörg Hennig , Marcus Ansorg

The fabrication of flexible single-crystalline plasmonic or photonic components in a scalable way is fundamentally important to flexible electronic and photonic devices with high speed, high energy efficiency, and high reliability. However,…

Recently it was proposed that extraordinary light waves in hyperbolic metamaterials exhibit two times physics behavior (Phys. Rev. Lett. 105, 067402, 2010). We report experimental observation of this effect via investigation of gravity-like…

In this article we introduce a new geometric object called hyperbolic Pascal simplex. This new object is presented by the regular hypercube mosaic in the 4-dimensional hyperbolic space. The definition of the hyperbolic Pascal simplex, whose…

Combinatorics · Mathematics 2017-12-22 László Németh

Deep representation learning is a ubiquitous part of modern computer vision. While Euclidean space has been the de facto standard manifold for learning visual representations, hyperbolic space has recently gained rapid traction for learning…

Computer Vision and Pattern Recognition · Computer Science 2023-05-12 Pascal Mettes , Mina Ghadimi Atigh , Martin Keller-Ressel , Jeffrey Gu , Serena Yeung

Using the idea of transformation optics, we propose a metamaterial device that serves as a frequency-selective super-absorber, which consists of an absorbing core material coated with a shell of isotropic double negative metamaterial. For a…

Optics · Physics 2009-02-26 Jack Ng , Huanyang Chen , C. T. Chan

We consider a nonlinear optical system in general, and a broad aperture laser in particular in a resonator where the diffraction coefficients are of opposite signs along two transverse directions. The system is described by the hyperbolic…

Optics · Physics 2009-11-11 K. Staliunas , M. Tlidi

Several alternative possibilities of how to create an electromagnetic device being able to reconstruct near-field distribution of a source with sub-wavelength resolution (so-called perfect lens) are considered. It is shown that there is a…

Materials Science · Physics 2007-05-23 Stanislav Maslovski , Sergei Tretyakov

We employ both the effective medium approximation (EMA) and Bloch theory to compare the dispersion properties of semiconductor hyperbolic metamaterials (SHMs) at mid-infrared frequencies and metallic hyperbolic metamaterials (MHMs) at…

Optics · Physics 2015-08-05 Salvatore Campione , Sheng Liu , Ting S. Luk , Michael B. Sinclair

Hyperbolic polynomials are real polynomials whose real hypersurfaces are nested ovaloids, the inner most of which is convex. These polynomials appear in many areas of mathematics, including optimization, combinatorics and differential…

Algebraic Geometry · Mathematics 2016-08-16 Mario Kummer , Daniel Plaumann , Cynthia Vinzant

Super-resolution imaging is vital for optical applications, such as high capacity information transmission, real-time bio-molecular imaging and nanolithography. Technology and method of super-resolution imaging have attracted much…

Optics · Physics 2022-10-19 Yangyang Zhou , Huanyang Chen

Object detection, for the most part, has been formulated in the euclidean space, where euclidean or spherical geodesic distances measure the similarity of an image region to an object class prototype. In this work, we study whether a…

Computer Vision and Pattern Recognition · Computer Science 2022-03-21 Christopher Lang , Alexander Braun , Abhinav Valada

Pure noble metals are typically considered to be the materials of choice for a near-field superlens that allows subwavelength resolution by recovering both propagating and evanescent waves. However, a superlens based on bulk metal can…

Materials Science · Physics 2007-05-23 Wenshan Cai , Dentcho A. Genov , Vladimir M. Shalaev

The recently proposed optical elements containing semitransparent wavelike films embedded into the transparent material are investigated. Such optical elements do not distort a wave transmitted through them. Novel optical elements can be…

Optics · Physics 2021-09-29 A. M. Smolovich , V. V. Kashin , V. Chernov

Metamaterials are engineered materials composed of specially designed unit cells that exhibit extraordinary properties beyond those of natural materials. Complex engineering tasks often require heterogeneous unit cells to accommodate…

Machine Learning · Computer Science 2025-11-06 Hongrui Chen , Liwei Wang , Levent Burak Kara

Metasurfaces represent a new paradigm in artificial subwavelength structures due to their potential to overcome many challenges typically associated with bulk metamaterials. The ability making very thin structures and change their…