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We consider light ray reflections in $n$-dimensional semi-infinite tube, for $n\geq 3$, made of Lambertian material. The source of light is placed far away from the exit, and the light ray is assumed to reflect so that the distribution of…

Probability · Mathematics 2016-07-01 Krzysztof Burdzy , Tvrtko Tadić

Three-dimensional (3D) printing has allowed for production of geometrically complex 3D objects with extreme flexibility, which is currently undergoing rapid expansions in terms of materials, functionalities, as well as areas of application.…

Applied Physics · Physics 2019-04-09 Peng Wang , Wei Chu , Wenbo Li , Yuanxin Tan , Fang Liu , Min Wang , Zhe Wang , Jia Qi , Jintian Lin , Fangbo Zhang , Zhanshan Wang , Ya Cheng

This letter presents a theoretical and experimental study on the viability of obtaining three dimensional super-resolution (i.e. resolution overcoming the diffraction limit for all directions in space) by means of metamaterial slab lenses.…

Optics · Physics 2009-11-11 F. Mesa , R. Marques , M. Freire , J. D. Baena

We put forward a new approach to generate stable, fully three-dimensional light bullets, which is based on the matching of the intrinsic material dispersion with a suitable effective diffraction. The matching is achieved in adequate…

Optics · Physics 2015-05-19 Valery E. Lobanov , Yaroslav V. Kartashov , Lluis Torner

We address the concept of three-dimensional light bullet formation in structures where nonlinearity and dispersion are contributed by different materials, including metamaterials, which are used at their best to create suitable conditions…

Optics · Physics 2015-05-13 Lluis Torner , Yaroslav V. Kartashov

New ray-optical elements allow generalized refraction of light rays, but geometry imposes limitations on possible mappings between the positions of an object and its geometric image. Here I study the case of an infinite, planar,…

Optics · Physics 2009-05-25 Johannes Courtial

Based on the non-Euclidean transformation optics, we design a thin metamaterial lens that can achieve wide-beam radiation by embedding a simple source (a point source in three-dimensional case or a line current source in two-dimensional…

Optics · Physics 2013-12-19 Kan Yao , Xunya Jiang , Huanyang Chen

With a conventional lens sharpness of the image is always limited by the wavelength of light. An unconventional alternative to a lens, a slab of negative refractive index material, has the power to focus all Fourier components of a 2D…

Optics · Physics 2025-07-03 JB Pendry

A novel scheme is proposed to generate uniform relativistic electron layers for coherent Thomson backscattering. A few-cycle laser pulse is used to produce the electron layer from an ultra-thin solid foil. The key element of the new scheme…

Plasma Physics · Physics 2015-03-13 Hui-Chun Wu , Juergen Meyer-ter-Vehn , Juan C. Fernandez , B. Manuel Hegelich

We study three-dimensional microlensing where two lenses are located at different distances along the line of sight. We formulate the lens equation in complex notations and recover several previous results. There are in total either 4 or 6…

Astrophysics of Galaxies · Physics 2015-06-17 Shude Mao , Hans J. Witt , Jin H. An

We experimentally investigate unusual light propagation inside a three-dimensional (3D) superlattice of resonant cavities that are confined within a 3D photonic band gap. Therefore, we fabricated 3D diamond-like photonic crystals from…

Optics · Physics 2025-10-06 Manashee Adhikary , Marek Kozon , Ravitej Uppu , Willem L. Vos

We consider random reflections (according to the Lambertian distribution) of a light ray in a thin variable width (but almost circular) tube. As the width of the tube goes to zero, properly rescaled angular component of the light ray…

Probability · Mathematics 2018-01-18 Krzysztof Burdzy , Carl-Erik Gauthier

High resolution light-sheet optical microscopy requires illuminating a sample by a thin excitation light sheet with large area. Here, we describe methods for producing light sheets with extended length, as compared to Gaussian-beam-type…

Optics · Physics 2019-09-04 Shengwang Du , Teng Zhao , Luwei Zhao

Due to dispersion, light with different wavelengths, or colors, is refracted at different angles. Our purpose is to determine when is it possible to design a lens made of a single homogeneous material so that it refracts light superposition…

Analysis of PDEs · Mathematics 2018-01-23 Cristian E. Gutierrez , Ahmad Sabra

Random lasers (RLs) are intriguing devices with promising applications as light sources for imaging, sensing, super resolution spectral analysis or complex networks engineering. RLs can be obtained from optically pumped dyes, optical fibers…

Optics · Physics 2022-03-23 Antonio Consoli , Niccolò Caselli , Cefe López

The formation of relativistic electron mirror produced via ionization of thin solid target by ultraintense femtosecond laser pulse is considered with the help of computer simulations. It is shown that the reflection of weak…

Plasma Physics · Physics 2007-05-23 Vladimir A. Cherepenin , Victor V. Kulagin

Conceptual studies and numerical simulations are performed for imaging devices that transform a near-field pattern into magnified far-zone images and are based on high-order spatial transformation in cylindrical domains. A lens translating…

Optics · Physics 2009-11-13 Alexander V. Kildishev , Vladimir M. Shalaev

We study the formation of images in a reflective sphere in three configurations using caustics of the field of light rays. The optical wavefront emerging from a source point reaching a subject following passage through the optical system…

We describe a superconducting device capable of producing laser light in the visible range at half of the Josephson generation frequency with the optical phase of the light locked to the superconducting phase difference. It consists of two…

Mesoscale and Nanoscale Physics · Physics 2011-09-13 Frans Godschalk , Fabian Hassler , Yuli V. Nazarov

We report on a compact, ultrahigh-vacuum compatible optical assembly to create large-scale, two-dimensional optical lattices for use in experiments with ultracold atoms. The assembly consists of an octagon-shaped spacer made from…

Quantum Gases · Physics 2021-01-18 A. Heinz , J. Trautmann , N. Šantić , A. J. Park , I. Bloch , S. Blatt
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