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We consider field localizing and concentration of electromagnetic waves governed by the time-harmonic anisotropic Maxwell system in a bounded domain. It is shown that there always exist certain boundary inputs which can generate…

Analysis of PDEs · Mathematics 2018-11-19 Bastian Harrach , Yi-Hsuan Lin , Hongyu Liu

Ultrarelativistic electron-positron plasmas can be produced in high-intensity laser fields and play a role in various astrophysical situations. Their properties can be calculated using QED at finite temperature. Here we will use…

Plasma Physics · Physics 2014-11-18 Markus H. Thoma

Outer boundary conditions for strongly and symmetric hyperbolic formulations of 3D Einstein's field equations with a live gauge condition are discussed. The boundary conditions have the property that they ensure constraint propagation and…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Olivier Sarbach , Manuel Tiglio

We derive focused laser pulse solutions to the electromagnetic wave equation in vacuum. After reproducing beam and pulse expressions for the well-known paraxial Gaussian and axicon cases, we apply the method to analyse a laser beam with…

Optics · Physics 2018-01-17 W. J. Waters , B. King

We discuss a class of exact finite energy solutions to the vacuum source-free Maxwell field equations as models for multi- and single cycle laser pulses in classical interaction with relativistic charged test particles. These solutions are…

Optics · Physics 2016-02-17 S. Goto , R. W. Tucker , T. J. Walton

A survey of physical parameters and of a ladder of various regimes of laser-matter interactions at extreme intensities is given. Special emphases is made on three selected topics: (i) qualitative derivation of the scalings for probability…

Optics · Physics 2016-12-08 Alexander Fedotov

The effects leading to generation of quasi-stationary and propagating electromagnetic fields during the propagation of a laser-driven current discharge pulse in extended targets are considered. The results of numerical modeling describe the…

Plasma Physics · Physics 2024-12-03 N. Bukharskii , Ph. Korneev

The scheme of simultaneous multiple pulse focusing on one spot naturally arises from the structural features of projected new laser systems, such as ELI and HiPER. It is shown that the multiple pulse configuration is beneficial for…

High Energy Physics - Phenomenology · Physics 2015-03-13 S. S. Bulanov , V. D. Mur , N. B. Narozhny , J. Nees , V. S. Popov

The Axelrod approximation is widely used in astrophysical modelling codes to evaluate electron-impact excitation effective collision strengths for forbidden transitions. Approximate methods such as this are a necessity for many heavy…

High Energy Astrophysical Phenomena · Physics 2025-09-17 Leo P. Mulholland , Steven J. Bromley , Connor P. Ballance , Stuart A. Sim , Catherine A. Ramsbottom

The interaction of two electrons and two positrons in the field of two strong pulsed laser waves outside the framework of the dipole approximation (with an accuracy of relativistic corrections ) has been studied theoretically. The…

Classical Physics · Physics 2017-06-01 Stanislav Starodub , Sergei Roshchupkin , Viktor Dubov

The interaction of multipetawatt lasers with plasma is a complex multiparameter problem, providing a wide field for fundamental research and opening up great opportunities for creating unique sources of high-energy electrons and positrons,…

The interaction Hamiltonian of an electron and a quasi-monochromatic pulse of a strong quantized electromagnetic field is examined. Canonical transformations of the field variables are found that allow the division of the system's…

Quantum Physics · Physics 2015-06-17 O. D. Skoromnik , I. D. Feranchuk

The interaction of ultrafast lasers with plasmas has been studied for many years, primarily with respect to fundamental emission mechanisms. Only in recent years has ionizing radiation emerged as a safety concern in ultrafast laser-based…

Plasma Physics · Physics 2026-03-27 Simon Bohlen , Julian Holland , Rudolf Weber

Exact closed-form solutions to Maxwell's equations are used to investigate the acceleration of electrons in vacuum driven by ultrashort and nonparaxial radially polarized laser pulses. We show that the threshold power above which…

Accelerator Physics · Physics 2012-11-20 Vincent Marceau , Alexandre April , Michel Piché

An analytical formulation of a radially polarized laser pulse propagating in a homogeneous, magnetized plasma is presented using Lorentz force, continuity and Maxwells equations. Perturbation technique and quasi-static approximation (QSA)…

Plasma Physics · Physics 2026-05-14 Shivani Aggarwal , Dinkar Mishra , Saumya Singh , Bhupesh Kumar , Pallavi Jha

The probability of electron-positron pair creation by a focused laser pulse is calculated. For description of the focused laser pulse we use a 3-dimensional model of the electromagnetic field which is based on an exact solution of Maxwell…

High Energy Physics - Phenomenology · Physics 2009-11-10 S. S. Bulanov , N. B. Narozhny , V. D. Mur , V. S. Popov

We show that arbitrary 3D electromagnetic fields are transient solutions to Maxwell's equations and provide a simple equation to find how the field evolves over time. Multiple 3D fields can be realized at different times by superposing with…

Optics · Physics 2025-05-21 Jordan M. Adams , Daniel M. Heligman

We present a numerical method for investigating the non-perturbative quantum mechanical interaction of light with atoms in two dimensions, without a basis expansion. This enables us to investigate intense laser-atom interactions with light…

Quantum Physics · Physics 2009-10-30 M. Protopapas , D. G. Lappas , P. L. Knight

Recent studies have demonstrated the possibility of accelerating electrons to MeV energies in ambient air using tightly focused laser configurations. In this article, we explore possible strategies to control and optimize the resulting…

In laser-solid interactions, electrons may be generated and subsequently accelerated to energies of the order-of-magnitude of the ponderomotive limit, with the underlying process dominated by direct laser acceleration. Breaking this limit,…

Plasma Physics · Physics 2020-03-11 Meng Wen , Yousef I. Salamin , Christoph H. Keitel