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Several problems on Fourier series and trigonometric approximation on a hexagon and a triangle are studied. The results include Abel and Ces\`aro summability of Fourier series, degree of approximation and best approximation by trigonometric…

Classical Analysis and ODEs · Mathematics 2008-02-05 Yuan Xu

We study the influence of constant magnetic field combined with a field induced by the external thermal environment on the atomic decay rates. The importance of radiative corrections, including magnetic interaction, is demonstrated for…

Atomic Physics · Physics 2025-09-11 D. Solovyev , T. Zalialiutdinov

Irradiation of a medium by short intense pulses from x-ray / XUV free electron lasers can result in saturated photoionization of inner electronic shells. As a result an inversion of populations between core levels appears. The resulting…

Quantum Physics · Physics 2019-01-30 Andrei Benediktovitch , Vinay P. Majety , Nina Rohringer

We exhibit the form of the ``radiation field,'' describing the large-scale, long-time behavior of solutions to the wave equation on a manifold with no trapped rays, as a Fourier integral operator. We work in two different geometric…

Analysis of PDEs · Mathematics 2007-05-23 Antonio Sa Barreto , Jared Wunsch

The celebrated Sommerfeld wedge diffraction solution is reexamined from a null interior field perspective. Exact surface currents provided by that solution, when considered as disembodied half-plane laminae radiating into an ambient,…

Classical Physics · Physics 2017-07-13 J. A. Grzesik

A number of physical processes occurring in a flat one-dimensional graphene structure under the action of strong time-dependent electric fields are considered. It is assumed that the Dirac model can be applied to the graphene as a subsystem…

High Energy Physics - Theory · Physics 2020-11-04 Sergey Gavrilov , Dmitry Gitman , Vadim Dmitriev , Anatolii Panferov , Stanislav Smolyansky

The aim of this work is to develop a formal semi-analytical model using the modal expansion method in cylindrical coordinates to calculate the optical/electromagnetic (EM) radiation force-per-length experienced by an infinitely long…

Classical Physics · Physics 2019-01-29 F. G. Mitri

The model-independent radiative corrections to deep-inelastic scattering of unpolarized electron beam off the tensor polarized deuteron target have been considered. The contribution to the radiative corrections due to the hard-photon…

High Energy Physics - Phenomenology · Physics 2009-11-10 G. I. Gakh , O. Shekhovtsova

In this work, we derived formulae concerning the electric and magnetic field characteristics of a focused radially polarized Gaussian vector beam. Such a beam is consistent with Maxwell's equations contrary to plane waves having uniform…

Optics · Physics 2024-06-04 László Pálfalvi , Zerihun Tadele Godana , János Hebling

Light scattering in disordered media plays an important role in various areas of applied science from biophysics to astronomy. In this paper we study two approaches to calculate scattering properties of semi-infinite densely packed media…

Computational Physics · Physics 2023-04-12 Sofia Ponomareva , Alexey A. Shcherbakov

The evolution of an electron beam colliding head-on with a strong plane-wave field is investigated in the framework of strong-field QED including radiation-reaction effects due to photon emission. Employing a kinetic approach to describe…

High Energy Physics - Phenomenology · Physics 2014-08-07 Norman Neitz , Antonino Di Piazza

The (spectral) brightness for partially transverse coherent sources as Synchrotron Radiation (SR) and Free-Electron Laser (FEL) sources can be defined as the maximum of the Wigner distribution. Then, the brightness includes information on…

Accelerator Physics · Physics 2018-08-16 Gianluca Geloni , Svitozar Serkez , Ruslan Khubbutdinov , Vitali Kocharyan , Evgeni Saldin

QED radiative corrections to elastic electron-proton scattering at low energies are discussed. Corrections to the electron line and effects due to vacuum polarization are computed. Higher order effects are estimated for the conditions of…

High Energy Physics - Phenomenology · Physics 2017-08-11 A. B. Arbuzov , T. V. Kopylova

A new elementary mechanism of radiation due to the oscillatory character of a radiation reaction force appearing when a relativistic charged particle moves along a periodic structure without external fields is investigated. It is shown that…

Accelerator Physics · Physics 2007-05-23 Anatoliy Opanasenko

In order to evaluate the performance of radar and communication systems in future wireless networks, accurate propagation models are needed to predict efficiently the received powers at each node, and draw correct conclusions. In this…

Signal Processing · Electrical Eng. & Systems 2024-06-05 François De Saint Moulin , Christophe Craeye , Luc Vandendorpe , Claude Oestges

The purpose of this study is to investigate radiation from asymptotic zero acceleration motion where a horizon is formed and subsequently detected by an outside witness. A perfectly reflecting moving mirror is used to model such a system…

General Relativity and Quantum Cosmology · Physics 2020-08-24 Michael Good , Ernazar Abdikamalov

Cherenkov radiation (CR) generated by a charge moving along one of the faces of a dielectric prism is analyzed. Unlike our previous papers, here we suppose that the charge moves from the the prism ``nose'' to its base. For CR analysis, we…

Classical Physics · Physics 2022-12-21 Andrey V. Tyukhtin , Sergey N. Galyamin , Viktor V. Vorobev

This white paper concerns theoretical and phenomenological aspects relevant to the physics of future $e^+e^-$ colliders, in particular regarding initial-state QED radiation. The contributions each contain key technical aspects, and are…

The third part of the paper is devoted to ray tracing in optical resonators. The employed method for dealing with the issue uses the elliptical or hyperbolic rotations that Wigner distributions associated with optical fields undergo during…

Optics · Physics 2022-04-01 Pierre Pellat-Finet , Éric Fogret

This article solves two major tasks that frequently arise in the theory of electron collisions with a target molecular cation. First, it extends the energy-dependent frame transformation treatment(EDFT), which is needed to map fixed-nuclei…

Chemical Physics · Physics 2025-11-25 David Hvizdos , Roman Curik , Chris H Greene