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It can be computationally advantageous to perform computer simulations in a Lorentz boosted frame for a certain class of systems. However, even if the computer model relies on a covariant set of equations, it has been pointed out that…

Accelerator Physics · Physics 2009-10-01 J. -L. Vay , W. M. Fawley , C. G. Geddes , E. Cormier-Michel , D. P. Grote

Modeling of laser-plasma wakefield accelerators in an optimal frame of reference \cite{VayPRL07} is shown to produce orders of magnitude speed-up of calculations from first principles. Obtaining these speedups requires mitigation of a…

Accelerator Physics · Physics 2015-05-19 J. -L. Vay , C. G. R. Geddes , E. Cormier-Michel , D. P. Grote

Abridged. Kinetic plasma simulations are nowadays commonly used to study a wealth of non-linear behaviours and properties in laboratory and space plasmas. In particular, in high-energy physics and astrophysics, the plasma usually evolves in…

Computational Physics · Physics 2020-09-09 J. Pétri

We propose a new approach to high-intensity relativistic laser-driven electron acceleration in a plasma. Here, we demonstrate that a plasma wave generated by a stimulated forward-scattering of an incident laser pulse can be in the longest…

Plasma Physics · Physics 2015-10-28 S. P. Sadykova , A. Rukhadze , T. G. Samkharadze

When modeling laser wakefield acceleration (LWFA) using the particle-in-cell (PIC) algorithm in a Lorentz boosted frame, the plasma is drifting relativistically at $\beta_b c$ towards the laser, which can lead to a computational speedup of…

A modification of boost transformation in arbitrary pseudo-Euclidean space is suggested, which in the case of the Minkowski space admits the existence of inertial reference frames moving with velocities taking values in a certain bounded…

General Physics · Physics 2018-03-01 Alexander N. Tarakanov

Laser wakefield acceleration modeling using the Lorentz-boosted frame technique in the particle-in-cell code has demonstrated orders of magnitude speedups. A convergence study was previously conducted in cases with external injection in the…

Accelerator Physics · Physics 2019-03-27 Patrick Lee , Jean-Luc Vay

Frequency up-shifting of laser light in a beam-driven plasma wakefield has the potential to provide high-intensity sources of short wavelength radiation. Simulations have demonstrated that a laser pulse can undergo large frequency shifts,…

Plasma Physics · Physics 2025-12-10 Neil Beri , John Palastro , Qian Qian , Kyle Miller , Brandon Russell , Alexander Thomas

In highly conducting astrophysical plasmas, charged particles are generically accelerated through Fermi-type processes involving repeated interactions with moving magnetized scattering centers. The present paper proposes a generalized…

High Energy Astrophysical Phenomena · Physics 2020-11-19 Martin Lemoine

Simulating laser wakefield acceleration (LWFA) in a Lorentz boosted frame in which the plasma drifts towards the laser with $v_b$ can speedup the simulation by factors of $\gamma^2_b=(1-v^2_b/c^2)^{-1}$. In these simulations the…

Plasma accelerators driven by intense laser or particle beams provide gigavolt-per-meter accelerating fields, promising to drastically shrink particle accelerators for high-energy physics and photon science. Applications such as linear…

Accelerator Physics · Physics 2021-04-30 Carl A. Lindstrøm

Relativistic flying mirrors in plasmas are realized as thin dense electron (or electron-ion) layers accelerated by high-intensity electromagnetic waves to velocities close to the speed of light in vacuum. The reflection of an…

Plasma Physics · Physics 2016-08-03 Sergei V. Bulanov , Timur Zh. Esirkepov , Masaki Kando , James K. Koga

The concept of a hybrid laser wakefield/direct laser plasma accelerator is proposed. Relativistic electrons undergoing resonant betatron oscillations inside the plasma bubble created by a laser pulse are accelerated by gaining energy…

Plasma Physics · Physics 2015-06-11 Xi Zhang , Vladimir N. Khudik , Gennady Shvets

The core of this work is an old and broadly discussed problem of the electromagnetic radiation in the case of the hyperbolic motion. We prove that the radiation is non-zero in the lab (Minkowski) frame. Further, we attempt to understand…

General Physics · Physics 2025-02-28 D. Kalinov

We propose a new approach to high-intensity laser-driven electron acceleration in a plasma. Here, we demonstrate that a plasma wave generated by a stimulated forward-scattering of an incident laser pulse can be in a longest acceleration…

Plasma Physics · Physics 2014-05-09 A. A. Rukhadze , S. P. Sadykova , T. G. Samkharadze , P. Gibbon

In this paper we present an investigation of numerical Monte Carlo simulations of the diffusive shock acceleration in the test particle limit. Very high gamma flow astrophysical plasmas, have been used, from $\gamma_{up}$ $\sim50$ up to…

Astrophysics · Physics 2009-09-25 A. Meli , J. J. Quenby

According to the Lorentz transformation and clearly seen from the Minkowski diagram, hyperbolic spacetime motion of a test object relative to a stationary reference frame can be performed in a specific way such that time becomes frozen in…

General Physics · Physics 2011-08-25 Arne Bergstrom

The aim of this work is to perform numerical simulations of the propagation of a laser in a plasma. At each time step, one has to solve a Helmholtz equation in a domain which consists in some hundreds of millions of cells. To solve this…

Numerical Analysis · Mathematics 2009-11-13 Sylvain Desroziers , Frédéric Nataf , Remi Sentis

We develop a relativistic velocity space called \emph{rapidity space} from the single assumption of Lorentz invariance, and use it to visualize and calculate effects resulting from the successive application of non-colinear Lorentz boosts.…

General Relativity and Quantum Cosmology · Physics 2015-06-25 John A. Rhodes , Mark D. Semon

Laser-plasma accelerators offer a compact means of producing high-energy electron beams, but their performance is fundamentally limited by dephasing between the accelerated electrons and the plasma wave. To overcome this limitation, we…

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