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The physical origins of negative refractive index are derived from a dilute microscopic model, producing a result that is generalized to the dense condensed phase limit. In particular, scattering from a thin sheet of electric and magnetic…

Optics · Physics 2009-11-10 David W. Ward , Keith A. Nelson , Kevin J. Webb

The behavior of a 2-D model of an extended hemielliptic silicon lens of a size typical for THz applications is accurately studied for the case of a plane E-wave illumination. The full-wave analysis of the scattering problem is based on the…

Wave refraction in negative-index media is always negative.

Condensed Matter · Physics 2007-05-23 W. T. Lu , J. B. Sokoloff , S. Sridhar

Kinsler and Favaro point out correctly that Blaikie's numerical solution of Maxwell's equations in Maxwell's fish eye is causal and hence valid, a solution where no perfect image is formed. It is wrong to conclude from the existence of a…

Optics · Physics 2015-05-20 Ulf Leonhardt

In this paper we describe recent results on explicit construction of lens spaces that are not strongly isospectral, yet they are isospectral on $p$-forms for every $p$. Such examples cannot be obtained by the Sunada method. We also discuss…

Differential Geometry · Mathematics 2016-02-25 Emilio A. Lauret , Roberto J. Miatello , Juan Pablo Rossetti

This paper provides a theoretical investigation of negative refraction and focusing of elastic guided waves in a free-standing plate with a step-like thickness change. Under certain conditions, a positive phase velocity (forward) Lamb mode…

Classical Physics · Physics 2019-01-02 François Legrand , Benoît Gérardin , Jérôme Laurent , Claire Prada , Alexandre Aubry

Which systems are ideal to obtain negative refraction with no absorption? Electromagnetically induced transparency (EIT) is a method to suppress absorption and make a material transparent to a field of a given frequency. Such a system has…

Optics · Physics 2012-10-31 R. M. Rajapakse , E. Kuznetsova , S. F. Yelin

We design freeform lenses refracting an arbitrarily given incident field into a given fixed direction. In the near field case, we study the existence of lenses refracting a given bright object into a predefined image. We also analyze the…

Analysis of PDEs · Mathematics 2016-03-07 Cristian E. Gutierrez , Ahmad Sabra

Negative index materials are artificial structures whose refractive index has negative value over some frequency range. The study of these materials has attracted a lot of attention in the scientific community not only because of their many…

Analysis of PDEs · Mathematics 2017-01-11 Hoai-Minh Nguyen

We demonstrate perfect imaging in Maxwell's fish eye for microwaves. Our data show that the field of a line source is imaged with subwavelength resolution over superwavelength distances, provided the field is allowed to leave through…

Optics · Physics 2010-07-16 Yun Gui Ma , C. K. Ong , Sahar Sahebdivan , Tomas Tyc , Ulf Leonhardt

We introduce a paradigm for accurate design of metasurfaces for intricate beam manipulation, implementing functionalities previously considered impossible to achieve with passive lossless elements. The key concept involves self-generation…

Optics · Physics 2016-12-21 Ariel Epstein , George V. Eleftheriades

With the availability of thousands of type Ia supernovae in the near future the magnitude scatter induced by lensing will become a major issue as it affects parameter estimation. Current N-body simulations are too time consuming to be…

Cosmology and Nongalactic Astrophysics · Physics 2013-09-10 Valerio Marra , Miguel Quartin , Luca Amendola

We examine the refractive index from the viewpoint of modern first-principles materials physics. We first argue that the standard formula, $n^2 = \varepsilon_{\mathrm r} \mu_{\mathrm r}$, is generally in conflict with fundamental principles…

Materials Science · Physics 2017-05-15 R. Starke , G. A. H. Schober

The axiomatic theory of ideally glassy networks, which has proved effective in describing phase diagrams and many properties of chalcogenide, oxide, and even molecular glasses, is here broadened to describe both geometrical properties, such…

Disordered Systems and Neural Networks · Physics 2007-05-23 J. C. Phillips

Luneburg lens is a symmetric gradient-index lens with a refractive index that increases from the outer surface to the center in a radial manner. It has the ability to focus and collimate waves, which makes it useful for energy harvesting,…

Applied Physics · Physics 2020-02-21 Liuxian Zhao , Changquan Lai , Miao Yu

The study of light lensed by cosmic matter has yielded much information about astrophysical questions. Observations are explained using geometrical optics following a ray-based description of light. After deflection the lensed light…

Instrumentation and Methods for Astrophysics · Physics 2023-06-22 Valeria Rodriguez-Fajardo , Thao P. Nguyen , Kiyan S. Hocek , Jacob M. Freedman , Enrique J. Galvez

A design methodology for planar loaded antenna arrays is proposed to synthesize a perfect anomalous reflection into an arbitrary direction by optimizing the scattering characteristics of passively loaded array antennas. It is based on…

Applied Physics · Physics 2024-09-26 Sravan K. R. Vuyyuru , Risto Valkonen , Sergei A. Tretyakov , Do-Hoon Kwon

The gravitational lensing of gravitational waves should be treated in the wave optics instead of the geometrical optics when the wave length $\lambda$ of the gravitational waves is larger than the Schwarzschild radius of the lens mass $M$.…

Astrophysics · Physics 2009-11-10 Ryuichi Takahashi

There has been significant interest in imaging and focusing schemes that use evanescent waves to beat the diffraction limit, such as those employing negative refractive index materials or hyperbolic metamaterials. The fundamental issue with…

Optics · Physics 2020-01-03 Alexander Y. Piggott , Logan Su , Jan Petykiewicz , Jelena Vučković

Immersion optics enable creation of systems with improved optical concentration and coupling by taking advantage of the fact that the luminance of light is proportional to the square of the refractive index in a lossless optical system.…

Optics · Physics 2022-11-22 Nina Vaidya , Olav Solgaard