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Related papers: Invisibility via reflecting coating

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The dimension of the visible part of self-affine sets, that satisfy domination and a projection condition, is being studied. The main result is that the assouad dimension of the visible part equals to 1 for all directions outside the set of…

Classical Analysis and ODEs · Mathematics 2021-04-22 Eino Rossi

Atom reflection is studied in the presence of a non-Abelian vector potential proportional to a spin-1/2 operator. The potential is produced by a relatively simple laser configuration for atoms with a tripod level scheme. We show that the…

Other Condensed Matter · Physics 2008-05-27 Gediminas Juzeliunas , Julius Ruseckas , Andreas Jacob , Luis Santos , Patrik Ohberg

We obtain the shadow cast induced by the rotating black hole with an anisotropic matter. A Killing tensor representing the hidden symmetry is derived explicitly. The existence of separability structure implies a complete integrability of…

General Relativity and Quantum Cosmology · Physics 2021-03-24 Bum-Hoon Lee , Wonwoo Lee , Yun Soo Myung

We use a 3D Monte Carlo radiative transfer code to study the projection of large shadows by circumstellar disks around young stellar objects on surrounding reflection nebulosity. It is shown that for a wide range of parameters a small…

Astrophysics · Physics 2009-11-10 K. M. Pontoppidan , C. P. Dullemond

We consider an ideal invisibility cloak which is illuminated by monochromatic light and which moves in vacuum at constant relativistic velocity with respect to the common inertial frame of light source and observer. We show that, in…

Optics · Physics 2016-02-03 Jad C. Halimeh , Robert T. Thompson , Martin Wegener

Given a subshift over an arbitrary alphabet, we construct a representation of the associated unital algebra. We describe a criteria for the faithfulness of this representation in terms of the existence of cycles with no exits. Subsequently,…

Rings and Algebras · Mathematics 2023-06-29 Daniel Gonçalves , Danilo Royer

Shadows and spirals seem to be common features of transition discs. Among the spiral-triggering mechanisms proposed, only one establishes a causal link between shadows and spirals so far. In fact, provided the presence of shadows in the…

Earth and Planetary Astrophysics · Physics 2018-01-24 Matías Montesinos , Nicolás Cuello

Conventional mirrors obey Snell's reflection law: a plane wave is reflected as a plane wave, at the same angle. To engineer spatial distributions of fields reflected from a mirror, one can either shape the reflector (for example, creating a…

Optics · Physics 2015-03-11 V. S. Asadchy , Y. Radi , J. Vehmas , S. A. Tretyakov

Diffraction limits the behaviour of light in optical systems and sets the smallest achievable line width at half the wavelength. With a novel subwavelength plasmonic lens to reduce the diffraction via an asymmetry and to generate and…

Optics · Physics 2009-01-30 K. R. Chen

A shadow of a geometric object $A$ in a given direction $v$ is the orthogonal projection of $A$ on the hyperplane orthogonal to $v$. We show that any topological embedding of a circle into Euclidean $d$-space can have at most two shadows…

Metric Geometry · Mathematics 2017-06-09 Michael Gene Dobbins , Heuna Kim , Luis Montejano , Edgardo Roldán-Pensado

We study the problem of invisibility for bodies with a mirror surface in the framework of geometrical optics. We show that for any two given directions it is possible to construct a two-dimensional fractal body invisible in these…

Dynamical Systems · Mathematics 2011-07-29 Alexander Plakhov , Vera Roshchina

We present an elementary analysis of the effects on light reflected from a uniformly moving mirror by using the photon picture of light and the conservation laws for energy and momentum of the system photon-mirror. Such a dynamical approach…

Classical Physics · Physics 2012-11-30 Aleksandar Gjurchinovski

An exact formulation of the propagation of a monochromatic wave packet impinging upon a transparent, homogeneous, isotropic and parallel slab at oblique incidence is presented. Approximate formulas are derived for low divergence Gaussian…

Optics · Physics 2017-12-18 Michel Lequime , Claude Amra

While practical realizations of optical invisibility have been achieved so far by various ingenious methods, they generally rely on complex materials which prevent the wide implementation of such schemes. Here, we propose an alternative…

Optics · Physics 2018-12-17 Zeki Hayran , Ramon Herrero , Muriel Botey , Hamza Kurt , Kestutis Staliunas

The boundary problem of linear classical optics about the interaction of electromagnetic radiation with a thin dielectric film has been solved under explicit consideration of its discrete structure. The main attention has been paid to the…

Optics · Physics 2009-11-07 S. V. Sukhov , K. V. Krutitsky

Carpet or ground-plane invisibility cloaks hide an object in reflection and inhibit transmission by construction. This concept has significantly reduced the otherwise demanding material requirements and has hence enabled various…

Optics · Physics 2015-06-12 Jad C. Halimeh , Martin Wegener

We study the problem of constructing an optical surface separating two homogeneous, isotropic media, one of which has a negative refractive index. In doing so, we develop a vector form of Snell's law, which is used to study surfaces…

Optics · Physics 2023-07-19 Cristian E. Gutierrez , Eric Stachura

The double diffraction of white light can produce a thin-prism-like image in certain conditions by using ordinary diffraction gratings. The diffractive deviation of rays happens mainly in one direction because the diffracting elements are…

Optics · Physics 2007-05-23 Jose J Lunazzi , Noemi I Rodriguez Rivera

We use supersymmetry transformations to design transparent and one-way reflectionless (thus unidirectionally invisible) complex crystals with balanced gain and loss profiles. The scattering coefficients are investigated using the transfer…

Optics · Physics 2014-03-14 Bikashkali Midya

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…