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We reformulate the transport equation which determines the size, shape and orientation of infinitesimal light beams in arbitrary spacetimes. The behaviour of such light beams near vertices and conjugate points is investigated, with special…

Astrophysics · Physics 2010-04-06 Stella Seitz , Peter Schneider , Juergen Ehlers

We use generalized Gaussian quadratures for exponentials to develop a new ODE solver. Nodes and weights of these quadratures are computed for a given bandlimit $c$ and user selected accuracy $\epsilon$, so that they integrate functions…

Numerical Analysis · Mathematics 2013-11-21 Gregory Beylkin , Kristian Sandberg

When surrounded by a transparent emission region, black holes are expected to reveal a dark shadow caused by gravitational light bending and photon capture at the event horizon. To image and study this phenomenon, we have assembled the…

Astrophysics of Galaxies · Physics 2019-07-08 The Event Horizon Telescope Collaboration

Highly accurate numerical solutions to the problem of Black Holes surrounded by uniformly rotating rings in axially symmetric, stationary spacetimes are presented. The numerical methods developed to handle the problem are discussed in some…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Marcus Ansorg , David Petroff

We present a complete treatment in the strong field limit of gravitational retro-lensing by a static spherically symmetric compact object having a photon sphere. The results are compared with those corresponding to ordinary lensing in…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Ernesto F. Eiroa , Diego F. Torres

Counter-propagating light fields have the ability to create self-organized one-dimensional optically bound arrays of microscopic particles, where the light fields adapt to the particle locations and vice versa. We develop a theoretical…

Optics · Physics 2009-11-10 D. McGloin , A. E. Carruthers , K. Dholakia , E. M. Wright

The successful development and optimisation of optically-driven micromachines will be greatly enhanced by the ability to computationally model the optical forces and torques applied to such devices. In principle, this can be done by…

At cosmological distances, gravitational lensing can provide a direct measurement of supermassive black hole (SMBH) masses irrespective of their luminosities. Here, we directly estimate the mass of a SMBH in the brightest cluster galaxy…

Astrophysics of Galaxies · Physics 2018-08-21 Mandy C. Chen , Tom Broadhurst , Jeremy Lim , Jose M. Diego , Youichi Ohyama , Holland Ford , Narciso Benítez

We present an approach for the study and design of reflectors with rotational or translational symmetry that redirect light from a point source into any desired radiant intensity distribution. This method is based on a simple conformal map…

Optics · Physics 2019-09-04 Luis A. Aleman Castaneda , Miguel A. Alonso

Mobile light scatterers in a high-Q optical cavity transversely illuminated by laser light close to a cavity resonance form ordered patterns, which maximize light scattering into the cavity and induce optical self-trapping. We show that a…

Quantum Physics · Physics 2014-07-25 Valentin Torggler , Helmut Ritsch

We present an optical cavity with deep sub-wavelength confinement of light in a region that simultaneously works as a quantum dot. The design is based on a dielectric membrane with a buried quantum well and restricts the electron and hole…

Conventional concentrators with inhomogeneous coating materials that fully enclose the destined region pose great challenges for fabrication. In this paper, we propose to design an EM concentrator with homogeneous materials. Distinguished…

Optical tweezers enable non-contact trapping of micro-scale objects using light. Despite their widespread use, it is currently not known how tightly it is possible to three-dimensionally trap micro-particles with a given photon budget.…

The Circumcentered Reflection Method (CRM) is a recently developed projection method for solving convex feasibility problems. It offers preferable convergence properties compared to classic methods such as the Douglas-Rachford and the…

Optimization and Control · Mathematics 2024-12-03 Hongzhi Liao

Driven optical cavities containing a nonlinear medium support stable dissipative solitons, cavity solitons, in the form of bright or dark spots of light on a uniformly-lit background. Broadening effects due to diffraction or group velocity…

Optics · Physics 2025-09-09 Gian-Luca Oppo , William J. Firth

Lenses are crucial to light-enabled technologies. Conventional lenses have been perfected to achieve near-diffraction-limited resolution and minimal chromatic aberrations. However, such lenses are bulky and cannot focus light into a hotspot…

Optics · Physics 2017-01-25 Guang Hui Yuan , Edward T. F. Rogers , Nikolay I. Zheludev

While the deflection of light is achromatic in General Relativity, it is not always so in several new-physics models (e.g. certain quantum-gravity and string-inspired models, models with nonminimal photon-gravity coupling or with massive…

Cosmology and Nongalactic Astrophysics · Physics 2013-12-31 P. Egorov , M. Guzinin , H. Hakopyan , S. Troitsky

After a brief introduction to the quantum no-cloning theorem and its link with the linearity and causality of quantum mechanics, the concept of quantum cloning machines is sketched, following, whenever possible, the chronology of the main…

Quantum Physics · Physics 2007-11-27 Nicolas J. Cerf , Jaromir Fiurasek

A key challenge for LiDAR-based 3D object detection is to capture sufficient features from large scale 3D scenes especially for distant or/and occluded objects. Albeit recent efforts made by Transformers with the long sequence modeling…

Computer Vision and Pattern Recognition · Computer Science 2023-03-23 Chao Zhou , Yanan Zhang , Jiaxin Chen , Di Huang

The circumcentered-reflection method (CRM) has been recently proposed as a methodology for accelerating several algorithms for solving the Convex Feasibility Problem (CFP), equivalent to finding a common fixed-point of the orthogonal…

Optimization and Control · Mathematics 2022-03-07 Reza Arefidamghani , Roger Behling , Alfredo N. Iusem , Luiz-Rafael Santos