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Related papers: Optics near an hyperbolic defect

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Hyperbolic metamaterials (HMMs) are highly anisotropic optical materials that behave as metals or as dielectrics depending on the direction of propagation of light. They are becoming essential for a plethora of applications, ranging from…

Semiclassical quantization rules and numerical calculations are applied to study polariton modes of materials whose permittivity tensor has principal values of opposite sign (so-called hyperbolic materials). The spectra of volume- and…

Mesoscale and Nanoscale Physics · Physics 2015-07-28 Zhiyuan Sun , A. Gutierrez-Rubio , D. N. Basov , M. M. Fogler

We predict the existence of a novel class of multidimensional light localizations in out-of-equilibrium ferroelectric crystals. In two dimensions, the non-diffracting beams form at arbitrary low power level and propagate even when their…

Optics · Physics 2013-05-29 Claudio Conti , Aharon J. Agranat , Eugenio DelRe

We investigate a quasi-one dimensional system of trapped cold bosonic atoms in an optical lattice by using the density matrix renormalization group to study the Bose-Hubbard model at T=0 for experimentally realistic numbers of lattice…

Strongly Correlated Electrons · Physics 2007-05-23 C. Kollath , U. Schollwöck , J. von Delft , W. Zwerger

We explore some intersection properties of divisors associated to polarized dynamical systems on algebraic surfaces. As a consequence, we obtain necessary geometric conditions for the existence of polarizations of hyperbolic type and…

Algebraic Geometry · Mathematics 2019-09-10 Jorge Pineiro

Topological defects are central to modern physics, from spintronics to photonics, due to their robustness and potential application in information processing. In this work, we discuss topological point defects that spontaneously emerge at…

Mesoscale and Nanoscale Physics · Physics 2025-09-19 Yow-Ming Robin Hu , Elena A. Ostrovskaya , Alexander Yakimenko , Eliezer Estrecho

For a Riemannian manifold $(M,g)$ with strictly convex boundary $\partial M$, the lens data consists in the set of lengths of geodesics $\gamma$ with endpoints on $\partial M$, together with their endpoints $(x_-,x_+)\in \partial M\times…

Analysis of PDEs · Mathematics 2015-12-22 Colin Guillarmou

In the fast growing two-dimensional (2D) materials family, anisotropic 2D materials, with their intrinsic in-plane anisotropy, exhibit a great potential in optoelectronics. One such typical material is black phosphorus (BP), with a…

Mesoscale and Nanoscale Physics · Physics 2019-10-14 Chong Wang , Guowei Zhang , Shenyang Huang , Yuangang Xie , Hugen Yan

The study of high-index dielectric nanoparticles currently attracts a lot of attention. They do not suffer from absorption but promise to provide control on the properties of light comparable to plasmonic nanoparticles. To further advance…

We introduce the Carrier Drift Modulation - a new mechanism for creating temporal boundaries and enabling photonic time crystals. This approach opens a direct route to hyperbolic temporal metamaterials and, in particular, hyperbolic time…

Optics · Physics 2026-01-05 Evgenii E. Narimanov , Boris Shapiro

Learning generalizable self-supervised graph representations for downstream tasks is challenging. To this end, Contrastive Learning (CL) has emerged as a leading approach. The embeddings of CL are arranged on a hypersphere where similarity…

Machine Learning · Computer Science 2025-02-25 Yifei Zhang , Hao Zhu , Menglin Yang , Jiahong Liu , Rex Ying , Irwin King , Piotr Koniusz

The nature of space-time at high energy is an open question and the link between extra-dimensional theories with the physics of the Standard Model can not be established in a unique way. The compactification path is not unique and…

High Energy Physics - Phenomenology · Physics 2015-07-17 Alan S. Cornell

The relative permittivity dyadic of a dielectric structurally chiral material (SCM) varies helicoidally along a fixed direction; in consequence, the SCM exhibits the circular Bragg phenomenon, which is the circular-polarization-selective…

Optics · Physics 2014-03-03 Akhlesh Lakhtakia

Structuring optical materials on a nanometer scale can lead to artificial effective media, or metamaterials, with strongly altered optical behavior. Metamaterials can provide a wide range of linear optical properties such as negative…

In this paper, we study ergodic properties of hyperbolic measures with local product structure. We show that all the classical results that hold in the case of SRB measure hold for these measures. In particular, we show the decomposition in…

Dynamical Systems · Mathematics 2022-06-07 Nawaf Alansari

For dielectric multilayered metamaterials, the effective-parameter representation is known to be insensitive to geometrical features occurring at deeply subwavelength scales. However, recent studies on periodic and aperiodically ordered…

Optics · Physics 2020-08-26 Marino Coppolaro , Giuseppe Castaldi , Vincenzo Galdi

Conformally compact asymptotically hyperbolic metrics have been intensively studied. The goal of this note is to understand what intrinsic conditions on a complete Riemannian manifold (M,g) will ensure that g is asymptotically hyperbolic in…

Differential Geometry · Mathematics 2008-07-11 Eric Bahuaud

Recently, there has been plenty of work in designing and fabricating materials with an effective negative refractive index. Veselago realized that a slab of material with a refractive index of -1 would act as a lens. Pendry suggested that…

Optimization and Control · Mathematics 2008-03-11 David C. Dobson , Lyubima B. Simeonova

This paper deals with the propagation of Klein-Gordon particles in flat background spacetime exhibiting discontinuous metric changes from a Lorentzian signature (-,+,+,+) to a Kleinian signature (-,+,+,-). A formal analogy with the…

General Relativity and Quantum Cosmology · Physics 2017-11-02 David Figueiredo , Felipe Azevedo Gomes , Sébastien Fumeron , Bertrand Berche , Fernando Moraes

The implementation of hyperbolic metamaterials as component in optical waveguides, semiconductor light emitters and solar cells has been limited by the inherent loss in the metallic layers. The features of a hyperbolic metamaterial arise by…

Applied Physics · Physics 2020-09-04 Michael A. Mastro
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