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Related papers: Flat lens without optical axis: Theory of imaging

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A complete description is given of two-mirror telescopes with a flat medial focal surface, on which the images of stars are circles of least confusion. Particular attention is paid to aplanats, since their field of view is noticeably larger…

Instrumentation and Methods for Astrophysics · Physics 2022-07-20 V. Yu. Terebizh

The general reflection and refraction laws at the metasurface with the abrupt phase shift were derived by two different methods of Fermat's principle and the boundary conditions respectively. It is found that one or two critical angles for…

Optics · Physics 2013-12-16 Zhaona Wang , Yanyan Sun , Lu Han , Dahe Liu

It is generally assumed that correcting chromatic aberrations in imaging requires optical elements. Here, we show that by allowing the phase in the image plane to be a free parameter, it is possible to correct chromatic variation of focal…

A bilayer lens is proposed based on transformation optics. It is shown that Pendry's perfect lens, perfect bilayer lens made of indefinite media, and the concept of compensated media are well unified under the scope of the proposed bilayer…

Optics · Physics 2015-05-13 Wei Yan , Min Yan , Min Qiu

We analyzed the influence of static gravitational field on the vacuum and proposed the concept of inhomogeneous vacuum. According to the corresponding Fermat's principle in the general relativity, we derived a graded refractive index of…

General Relativity and Quantum Cosmology · Physics 2009-11-13 Xing-Hao Ye , Qiang Lin

We motivate then formulate a novel variant of the near-field reflector problem and call it the near-field reflector problem with spatial restrictions. Let $O$ be an anisotropic point source of light and assume that we are given a bounded…

Analysis of PDEs · Mathematics 2023-01-04 Dylanger Pittman

We develop an approach to utilize anisotropic metamaterials to solve one of the fundamental problems of modern plasmonics -- parasitic scattering of surface waves into free-space modes, opening the road to truly two-dimensional plasmonic…

Optics · Physics 2008-02-11 Justin Elser , Viktor A. Podolskiy

Refraction at the interface between two materials is fundamental to the interaction of light with photonic devices and to the propagation of light through the atmosphere at large. Underpinning the traditional rules for the refraction of an…

Optics · Physics 2021-02-02 Basanta Bhaduri , Murat Yessenov , Ayman F. Abouraddy

The paper considers an opportunity for the creation of an artificial two-component metamaterial with a negative refractive index within the radio and optical frequency band, which possesses a spatial dispersion. It is shown that there…

Optics · Physics 2008-04-28 V. V. Slabko

Perfect lensing using negative refractive index materials and radiationless electromagnetic interference both provide extreme subwavelength focusing by "amplifying" evanescent wave components that are usually lost. This paper provides a…

Optics · Physics 2015-06-03 Reuven Gordon

The authors study theoretically reflection on the surface of a metamaterial with a hyperbolic dispersion. It is found that reflection is strongly dependent on how the surface is terminated with respect to the asymptote of the hyperbolic…

Optics · Physics 2008-11-10 Xin Li , Zixian Liang , Xiaohan Liu , Xunya Jiang , Jian Zi

We design lenses composed of a combination of standard freeform refracting surface and flat metasurface refracting an arbitrary incident field into a collimated beam with a fixed direction. In the near-field case, we study the existence of…

Analysis of PDEs · Mathematics 2023-12-29 I. Amro , F. Fneish , R. Kansoh , A. Sabra , W. Tabbara

A simple optical lens plays an important role for exploring the microscopic world in science and technology by refracting light with tailored spatially varying refractive index. Recent advancements in nanotechnology enable novel lenses,…

Optics · Physics 2014-11-25 Jianjun Cao , Ce Shang , Yuanlin Zheng , Xianfeng Chen , Xiaogan Liang , Wenjie Wan

We study the boundary and lens rigidity problems on domains without assuming the convexity of the boundary. We show that such rigidities hold when the domain is a simply connected compact Riemannian surface without conjugate points. For the…

Differential Geometry · Mathematics 2021-03-24 Colin Guillarmou , Marco Mazzucchelli , Leo Tzou

We carefully examine the negative refractive index slab perfect lens theory by Pendry and point out an inconsistency that can be resolved. As a result, we find negative index slabs do not amplify or enhance evanescent waves and therefore…

Optics · Physics 2008-07-14 Weiguo Yang , John O. Schenk , Michael A. Fiddy

We introduce the concept of subwavelength imaging with an opaque nonlinear left-handed lens by generating the second-harmonic field. We consider a slab of composite left-handed metamaterial with quadratic nonlinear response and show that…

We investigate the scattering of light by a nonlinear, anisotropic slab under conical incidence and arbitrary polarization, within the framework of Maxwell's equations, where the nonlinearities are described by nonlinear susceptibility…

Optics · Physics 2025-12-22 Jérémy Itier , Gilles Renversez , Frédéric Zolla

Imaging through dense scattering media - such as biological tissue, fog, and smoke - has applications in the medical and robotics fields. We propose a new framework using automatic differentiation for All Photons Imaging through homogeneous…

Image and Video Processing · Electrical Eng. & Systems 2020-06-04 Tomohiro Maeda , Ankit Ranjan , Ramesh Raskar

Electromagnetic invisibility cloak requires material with anisotropic distribution of the constitutive parameters deduced from a geometrical transformation as first proposed by Pendry et al. [Science 312, 1780 (2006)]. In this paper, we…

Optics · Physics 2009-11-13 Ying Huang , Yijun Feng , Tian Jian

We study conditions for aberration-free imaging of inelastic x-ray scattering (IXS) spectra with x-ray echo spectrometers. Aberration-free imaging is essential for achieving instrumental functions with high resolution and high contrast.…

Instrumentation and Detectors · Physics 2019-05-29 Manuel Sánchez del Río , Yuri Shvyd'ko
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