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Some interesting optical instruments such as the Eaton lens and the Invisible Sphere require singularities of the refractive index for their implementation. We show how to transmute those singularities into harmless topological defects in…

光学 · 物理学 2015-05-28 Janos Perczel , Ulf Leonhardt

Conformal transformation optics provides a simple scheme for manipulating light rays with inhomogeneous isotropic dielectrics. However, there is usually discontinuity for refractive index profile at branch cuts of different virtual Riemann…

光学 · 物理学 2018-02-08 Lin Xu , Tomáš Tyc , Huanyang Chen

In topology, a torus remains invariant under certain non-trivial transformations known as modular transformations. In the context of topologically ordered quantum states of matter, these transformations encode the braiding statistics and…

量子物理 · 物理学 2020-03-17 Guanyu Zhu , Mohammad Hafezi , Maissam Barkeshli

In the field of transformation optics, metamaterials mimic the effect of coordinate transformations on electromagnetic waves, creating the illusion that the waves are propagating through a virtual space. Transforming space by appropriately…

光学 · 物理学 2009-08-18 Yun Gui Ma , C. K. Ong , Tomas Tyc , Ulf Leonhardt

The application of transformation optics to the development of intriguing electromagnetic devices can produce weakly anisotropic or isotropic media with the assistance of quasi-conformal and/or conformal mapping, as opposed to the strongly…

光学 · 物理学 2023-01-03 Xiaoyu Zhao , Hong Deng , Xiaoke Gao , Xikui Ma , Tianyu Dong

Plasmonic metamaterials provide a flexible platform for light manipulation and polarisation management, thanks to their engineered optical properties with exotic dispersion regimes. Here, we exploit the enhanced spin-orbit coupling induced…

光学 · 物理学 2025-01-31 Vittorio Aita , Anastasiia Zaleska , Henry J. Putley , Anatoly V. Zayats

Hyperbolic topological transitions refer to the transformation of is isofrequency contours in hyperbolic materials from one topology (e.g., hyperbolic) to another (e.g., elliptical or a different hyperbolic topology). However, current…

光学 · 物理学 2025-10-14 Junke Liao , Tao Hou , Huanyang Chen

Optical trapping can be used to manipulate the three-dimensional (3-D) motion of spherical particles based on the simple prediction of optical forces and the responding motion of samples. However, controlling the 3-D behaviour of…

光学 · 物理学 2017-06-28 Kyoohyun Kim , YongKeun Park

We consider how transformation optics and invisibility cloaking can be used to construct models in subsets $\mathbb{R}^3$ with a varying metric, where the time-harmonic waves for a given angular wavenumber $k$, are equivalent to the waves…

偏微分方程分析 · 数学 2021-03-26 Tracey Balehowsky , Matti Lassas , Pekka Pankka , Ville Sirviö

We construct detailed AdS$_2$ gravity solutions describing the teleportation through a traversable wormhole sending a state from one side of the wormhole to the other. The traversable wormhole is realized by turning on a double trace…

高能物理 - 理论 · 物理学 2018-09-26 Dongsu Bak , Chanju Kim , Sang-Heon Yi

Transformation optics offers an unconventional approach to the control of electromagnetic fields. A transformation optical structure is designed by first applying a form-invariant coordinate transform to Maxwell's equations, in which part…

光学 · 物理学 2008-03-05 Marco Rahm , Steven A. Cummer , David Schurig , John B. Pendry , David R. Smith

We describe a design methodology for modifying the refractive index profile of graded-index optical instruments that incorporate singularities or zeros in their refractive index. The process maintains the device performance whilst resulting…

光学 · 物理学 2015-06-18 I. R. Hooper , T. G. Philbin

We construct slowly rotating traversable wormholes in the presence of an anisotropic fluid. Starting from a Teo-type stationary, axisymmetric extension of the Morris-Thorne metric, we perform a slow-rotation expansion, fix a gauge that…

广义相对论与量子宇宙学 · 物理学 2026-05-05 Davide Batic , Denys Dutykh , Mark Essa Sukaiti

We study massless spin-1 field propagation in a static, circularly symmetric $(2+1)$-dimensional wormhole with spatial Lorentz-violating anisotropy characterized by the throat radius $a$ and deformation parameter $\eta$. The geometry is…

广义相对论与量子宇宙学 · 物理学 2026-02-26 Omar Mustafa , Semra Gurtas Dogan , Abdulkerim Karabulut , Abdullah Guvendi

We generalize the geometrical model of transformation optics to Rieman-Cartan space with torsion by introducing topological defects in physical space. By relaxing the integrable condition, we show explicitly that the generalized equivalent…

We find the first binary black hole event horizon with a toroidal topology. It had been predicted that generically the event horizons of merging black holes should briefly have a toroidal topology, but such a phase has never been seen prior…

广义相对论与量子宇宙学 · 物理学 2016-09-07 Andy Bohn , Lawrence E. Kidder , Saul A. Teukolsky

Textures in images can often be well modeled using self-similar processes while they may at the same time display anisotropy. The present contribution thus aims at studying jointly selfsimilarity and anisotropy by focusing on a specific…

数据分析、统计与概率 · 物理学 2015-06-16 S. G. Roux , M. Clausel , B. Vedel , S. Jaffard , P. Abry

We investigate the geometric and wave optical properties of a $(2+1)$-dimensional ultra-static spacetime conformally related to the static BTZ black hole, characterized by constant negative Gaussian curvature. The associated optical metric…

广义相对论与量子宇宙学 · 物理学 2025-08-13 Semra Gurtas Dogan , Abdullah Guvendi , Omar Mustafa

In this paper, we consider wormhole geometries in the context of teleparallel equivalent of general relativity (TEGR) as well as $f(T)$ gravity. The TEGR is an alternative geometrical formulation of Einstein's general relativity, where…

广义相对论与量子宇宙学 · 物理学 2020-04-15 Ksh. Newton Singh , Ayan Banerjee , Farook Rahaman , M. K. Jasim

Topological photonics promotes a novel approach to resilient light manipulation by exploiting spatio-temporal symmetries of the system and dual symmetry of electromagnetic field. Various prospective device applications pose the need to…

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