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The geodesic equations for optical media whose refractive indices have a non-vanishing gradient are developed. It is shown that when those media are optically isotropic, the light paths will be mull geodesics of a spatial metric that is…

General Relativity and Quantum Cosmology · Physics 2020-02-21 D. H. Delphenich

A number of recent surveys for gravitational lenses have found examples of double Einstein rings. Here, we investigate analytically the occurrence of multiple Einstein rings. We prove, under very general assumptions, that at most one…

Astrophysics · Physics 2009-11-13 M. C. Werner , J. An , N. W. Evans

We report on the realization of an optical microcavity consisting in the plane-plane arrangement of two suspended resonant mirrors possessing spectrally overlapping high-quality factor internal resonances. We first investigate its generic…

Multifocal lens, which focus incident light at multiple foci, are widely used in imaging systems and optical communications. However, for the traditional design strategy, it combines several lenses that have different focal points into a…

Optics · Physics 2016-10-12 Yanjun Bao , Qiao Jiang , Yimin Kang , Xing Zhu , Zheyu Fang

We consider the inverse refractor and the inverse reflector problem. The task is to design a free-form lens or a free-form mirror that, when illuminated by a point light source, produces a given illumination pattern on a target. Both…

Optics · Physics 2015-12-08 Kolja Brix , Yasemin Hafizogullari , Andreas Platen

In optical devices like diffraction gratings and Fresnel lenses, light wavefront is engineered through the structuring of device surface morphology, within thicknesses comparable to the light wavelength. Fabrication of such diffractive…

Optics · Physics 2021-07-28 S. L. Oscurato , F. Reda , M. Salvatore , F. Borbone , P. Maddalena , A. Ambrosio

Modern communication systems will require antennas with adaptive functionality which are able to modify their performance based on the requirements of the channel. For example, mobile ad-hoc networks need directive antennas that are able to…

Applied Physics · Physics 2023-07-19 Henry Giddens , Yang Hao

Lenses, optics and dependent lenses (or equivalently morphisms of containers, or equivalently natural transformations of polynomial functors) are all widely used in applied category theory as models of bidirectional processes. From the…

Category Theory · Mathematics 2021-12-22 Dylan Braithwaite , Matteo Capucci , Bruno Gavranović , Jules Hedges , Eigil Fjeldgren Rischel

In this article, we report a lens design based on a concentric circular structure with continuous changing of thickness defined in a thin plate structure for focusing a plane wave into three spots (triple focusing) and for splitting elastic…

Applied Physics · Physics 2022-11-15 Liuxian Zhao , Chuanxing Bi , Miao Yu

Spatial transformations of light are ubiquitous in optics, with examples ranging from simple imaging with a lens to quantum and classical information processing in waveguide meshes. Multi-plane light converter (MPLC) systems have emerged as…

The real projective plane has three well know isomorphic constructions: the extended euclidean plane, unit (hemi)sphere, and three dimensional vector space over the reals. In this paper we find the isomorphisms that map between these three…

Algebraic Geometry · Mathematics 2024-03-05 Noah Everett , Patrick Fleming

The correction of multiple aberrations in an optical system requires different optical elements, which increases its cost and complexity. Metasurfaces hold great promise to providing new functionality for miniaturized and low-cost optical…

This paper proposes a technique for designing flat lenses using Field Transformation (FT), as opposed to Ray Optics (RO) or Transformation Optics (TO). The lens design consists of 10 layers of graded index dielectric in the radial direction…

Optics · Physics 2013-05-06 Sidharath Jain , Mohamed Abdel-Mageed , Raj Mittra

An invisibility device should guide light around an object as if nothing were there, regardless where the light comes from. Ideal invisibility devices are impossible due to the wave nature of light. This paper develops a general recipe for…

Optics · Physics 2007-05-23 Ulf Leonhardt

We examine the Seidel aberrations of thin spherical lenses composed of media with refractive index not restricted to be positive. We find that consideration of this expanded parameter space allows reduction or elimination of more…

Optics · Physics 2009-11-10 D. Schurig , D. R. Smith

The advances in geometric approaches to optical devices due to transformation optics has led to the development of cloaks, concentrators, and other devices. It has also been shown that transformation optics can be used to gravitational…

Other Condensed Matter · Physics 2017-03-13 Sophia R. Sklan , Baowen Li

Gradient index devices for the simultaneous control of the S 0 and A 0 Lamb modes are presented and numerically analysed. It is found a special relationship between the refractive indexes for these two modes which allows their simultaneous…

Classical Physics · Physics 2015-02-20 Yabin Jin , Daniel Torrent , Yan Pennec , Yongdong Pan , Bahram Djafari-Rouhani

Wave effects in lensing form a rich phenomenon at the intersection of classical caustic singularities and quantum interference, yet are notoriously difficult to model. A large number of recently observed pulsars and fast radio bursts in…

Cosmology and Nongalactic Astrophysics · Physics 2022-11-01 Job Feldbrugge

A slab of negatively refracting material, thickness d, can focus an image at a distance 2d from the object. The negative slab cancels an equal thickness of positive space. This result is a special case of a much wider class of focussing:…

Condensed Matter · Physics 2009-11-10 J. B. Pendry , S. Anantha Ramakrishna

We propose a composite optical transformation to design an illusion device which can move the image of a target from one place to another place. Enclosed by such an illusion device, an arbitrary object located at one place appears to be at…

Optics · Physics 2009-09-30 Wei Xiang Jiang , Tie Jun Cui
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