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The spatiotemporal content of a black-hole movie is set jointly by source variability and by the distribution of light-travel times across the image. In the slow-light prescription, an image evaluated at fixed observer time contains photons…

High Energy Astrophysical Phenomena · Physics 2026-05-14 Daniel Rojas-Paternina , Alejandro Cárdenas-Avendaño

A hidden symmetry of the nonlinear wave equation is exploited to analyse the propagation of paraxial and uniform atom-laser beams in time-independent, quadratic and cylindrical potentials varying smoothly along the propagation axis. The…

Quantum Physics · Physics 2015-05-13 François Impens

In a generalized Heisenberg/Schroedinger picture we use an invariant space-time transformation to describe the motion of a relativistic particle. We discuss the relation with the relativistic mechanics and find that the propagation of the…

High Energy Physics - Theory · Physics 2011-09-13 Rudolf A. Frick

Gravitational lensing constitutes one of the most direct observational manifestations of spacetime curvature and provides a powerful probe of compact astrophysical objects. In this work, we present a comprehensive analysis of the bending of…

General Relativity and Quantum Cosmology · Physics 2026-04-21 Partha Pratim Basumallick , Saheb Das , Bhaswati Mandal , Subhadip Sau

In this paper, ABCD matrix is introduced to study the paraxial transmission of light on a constant gaussian curvature surface (CGCS), which is the first time to our knowledge. It is also proved that the curved surface can be used as the…

Optics · Physics 2021-08-05 Weifeng Ding , Zhaoying Wang

We explore the impact of corrections to the propagation on the waveforms of gravitationally lensed gravitational waves under the geometrical optics approximation, focusing on both uniform cosmological modifications and local modifications…

General Relativity and Quantum Cosmology · Physics 2025-03-03 Hiroki Takeda , Takahiro Tanaka

We consider the standard problem of observational astronomy, i.e. the observations of light emission from a distant region of spacetime in general relativity. The goal is to describe the changes between the measurements of the light…

General Relativity and Quantum Cosmology · Physics 2019-04-02 Michele Grasso , Mikołaj Korzyński , Julius Serbenta

We present a comprehensive and self-contained discussion of the use of the transfer matrix to study propagation in one-dimensional lossless systems, including a variety of examples, such as superlattices, photonic crystals, and optical…

Statistical Mechanics · Physics 2012-05-08 L. L. Sanchez-Soto , J. J. Monzon , A. G. Barriuso , J. F. Carinena

The features of the scattering of massive neutral particles propagating in the field of a gravitational plane wave are compared with those characterizing their interaction with an electromagnetic radiation field. The motion is geodesic in…

General Relativity and Quantum Cosmology · Physics 2015-06-22 Donato Bini , Andrea Geralico , Maria Haney , Robert T. Jantzen

Quantized fields in accelerated frames (Rindler spaces) with emphasis on gauge fields are investigated. Important properties of the dynamics in Rindler spaces are shown to follow from the scale invariance of the corresponding Hamiltonians.…

High Energy Physics - Theory · Physics 2017-08-23 F. Lenz

The far-field pattern of a simple one-dimensional laser array of emitters radiating into free space is considered. In the path of investigating the inverse problem for their near fields leading to a target beam form, surprisingly we found…

Optics · Physics 2017-08-02 Constantinos A. Valagiannopoulos , Vassilios Kovanis

We study the propagation of a non-interacting atom laser distorted by the strong lensing effect of the Bose-Einstein Condensate (BEC) from which it is outcoupled. We observe a transverse structure containing caustics that vary with the…

Other Condensed Matter · Physics 2010-03-19 J. -F. Riou , W. Guerin , Y. Le Coq , M. Fauquembergue , Philippe Bouyer , V. Josse , Alain Aspect

In the paraxial regime of Newtonian optics, propagation of an ensemble of rays is represented by a symplectic ABCD transfer matrix defined on a reduced phase space. Here, we present its analogue for general relativity. Starting from…

General Relativity and Quantum Cosmology · Physics 2020-01-28 Nezihe Uzun

We theoretically describe the quasi one-dimensional transverse spreading of a light pulse propagating in a defocusing nonlinear optical material in the presence of a uniform background light intensity. For short propagation distances the…

Pattern Formation and Solitons · Physics 2019-03-04 M. Isoard , A. M. Kamchatnov , N. Pavloff

A theory is presented (and supported by numerical simulations) for phase-coherent reflection of light by a disordered medium which either absorbs or amplifies radiation. The distribution of reflection eigenvalues is shown to be the Laguerre…

Condensed Matter · Physics 2007-05-23 C. W. J. Beenakker , J. C. J. Paasschens , P. W. Brouwer

An exact solution of the Maxwell equations in Rindler coordinates is obtained. The electromagnetic field represents a wave preserving its shape in a relativistic uniformly accelerated frame. The relation with Airy beams is shown explicitly…

Classical Physics · Physics 2015-05-28 Shahen Hacyan

This paper concerns the reconstruction of properties of narrow laser beams propagating in turbulent atmospheres. We consider the setting of off-axis measurements, based on light detection away from the main path of the beam. We first model…

Analysis of PDEs · Mathematics 2021-09-30 Guillaume Bal , Benjamin Palacios

We present a theoretical model for the propagation of non self-interacting atom laser beams. We start from a general propagation integral equation, and we use the same approximations as in photon optics to derive tools to calculate the atom…

Other Condensed Matter · Physics 2010-03-19 J. -F. Riou , Y. Le Coq , F. Impens , W. Guerin , C. J. Bordé , A. Aspect , P. Bouyer

An algorithm is demonstrated that performs first-principles tracking of relativistic charged-particles. A covariant approach is used which relies on retarded vector potentials for trajectory integration instead of performing electromagnetic…

Accelerator Physics · Physics 2024-09-23 B. Folsom , E. Laface

By using Stationary-to-Randers correspondence (SRC), a characterization of light and time-convexity of the boundary of a region of a standard stationary (n+1)-spacetime is obtained, in terms of the convexity of the boundary of a domain in a…

Differential Geometry · Mathematics 2016-03-15 Erasmo Caponio , Anna Valeria Germinario , Miguel Sánchez