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Optics naturally provides us with some powerful mathematical operations. Here we experimentally demonstrate that during reflection or refraction at a single optical planar interface, the optical computing of spatial differentiation can be…

Many imaging applications require increasingly bright illumination sources, motivating the replacement of conventional thermal light sources with light emitting diodes (LEDs), superluminescent diodes (SLDs) and lasers. Despite their…

Optics · Physics 2017-04-05 Brandon Redding , Michael A. Choma , Hui Cao

The prospect of rendering objects invisible has intrigued researchers for centuries. Transformation optics based invisibility cloak design is now bringing this goal from science fictions to reality and has already been demonstrated…

Optics · Physics 2011-04-22 Jingjing Zhang , Liu Liu , Yu Luo , Shuang Zhang , Niels Asger Mortensen

We derive an original direct imaging method of an object. It is based on topological derivatives, and aims at inverting the amplitude of waves that are retropropagated after laser illuminations.

Numerical Analysis · Mathematics 2010-12-02 Jean-Baptiste Bellet , Gérard Berginc

Nonlinear imaging systems can surpass the limits of linear optics, but to date they have all relied on physical media (e.g. crystals) to work. These materials are all constrained by their physical properties, such as frequency selectivity,…

Optics · Physics 2015-07-31 Jen-Tang Lu , Alexandre S. Goy , Jason W. Fleischer

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 study straight-line drawings of planar graphs with prescribed face areas. A plane graph is 'area-universal' if for every area assignment on the inner faces, there exists a straight-line drawing realizing the prescribed areas. For…

Computational Geometry · Computer Science 2018-09-05 Linda Kleist

In 2011, super-resolution imaging by microsphere superlens was emerged as a simple yet effective method to overcome the diffraction limit that limits the resolution of conventional lenses. Significant progress has since been made. Key…

Optics · Physics 2021-08-23 Zengbo Wang , Boris Luk'yanchuk , Limin Wu

It is shown that two fundamentally different phenomena, the bound states in continuum and the spectral singularity (or time-reversed spectral singularity), can occur simultaneously. This can be achieved, in particular, in a rectangular core…

Optics · Physics 2018-02-02 Bikashkali Midya , Vladimir V. Konotop

Sub-wavelength arrays of atoms exhibit remarkable optical properties, analogous to those of phased array antennas, such as collimated directional emission or nearly perfect reflection of light near the collective resonance frequency. We…

Quantum Physics · Physics 2024-03-28 David Petrosyan , József Fortágh , Gershon Kurizki

The abrupt phase change of light at metasurfaces provides high flexibility in wave manipulation without the need of accumulation of propagating phase through dispersive materials. In the linear optical regime, one important application…

The general approach in metasurface design is to find the unit-cell properties required to achieve a given functionality. This is usually done by modeling the metasurface as a combination of surface electric and magnetic polarization…

Optics · Physics 2025-08-22 Francisco S. Cuesta , Karim Achouri

Structured-light three-dimensional (3D) imaging can achieve 3D shape of a stationary object via one or more pixelated array cameras with phase-shifting illumination. In order to extend 3D imaging to moving scenarios, we propose a 3D imaging…

Image and Video Processing · Electrical Eng. & Systems 2019-05-01 Wen-Kai Yu

Stereo rectification is the determination of two image transformations (or homographies) that map corresponding points on the two images, projections of the same point in the 3D space, onto the same horizontal line in the transformed…

Computer Vision and Pattern Recognition · Computer Science 2022-03-03 Pasquale Lafiosca , Marta Ceccaroni

Atomic planar arrays offer a novel emerging quantum-optical many-body system in which light mediates strong interactions between the atoms. The regular lattice structure provides a cooperatively enhanced light-matter coupling and allows for…

Quantum Physics · Physics 2023-09-18 Janne Ruostekoski

The geodesic ray transform, the mixed ray transform and the transverse ray transform of a tensor field on a manifold can all be seen as what we call mixing ray transforms, compositions of the geodesic ray transform and an invertible linear…

Differential Geometry · Mathematics 2024-09-10 Joonas Ilmavirta , Keijo Mönkkönen , Jesse Railo

Light-field microscopy represents a promising solution for microscopic volumetric imaging, thanks to its capability to encode information on multiple planes in a single acquisition. This is achieved through its peculiar simultaneous capture…

Imaging is an important means by which information is gathered regarding the physical world. Spatial resolution and signal-to-noise ratio are underpinning concepts. There is a paucity of rigorous definitions for these quantities, which are…

Optics · Physics 2019-09-27 David M. Paganin , Alexander Kozlov , Timur E. Gureyev

We show that an arbitrary body or aggregate can be made perfectly absorbing at discrete frequencies if a precise amount of dissipation is added under specific conditions of coherent monochromatic illumination. This effect arises from the…

Optics · Physics 2010-08-03 Y. D. Chong , Li Ge , Hui Cao , A. D. Stone

A general homogenization procedure for periodic electromagnetic structures, when applied to layered media with asymmetric lattice cells, yields an effective tensor with magnetoelectric coupling. Accurate results for transmission and…

Optics · Physics 2020-03-20 Igor Tsukerman , A N M Shahriyar Hossain , Y. D. Chong
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