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Title: Effects of hyperbolic rotation in Minkowski space on the modeling of plasma accelerators in a Lorentz boosted frame

Abstract

The effects of hyperbolic rotation in Minkowski space resulting from the use of Lorentz boosted frames of calculation on laser propagation in plasmas are analyzed. Selection of a boost frame at the laser group velocity is shown to alter the laser spectrum, allowing the use of higher boost velocities. The technique is applied to simulations of laser driven plasma wakefield accelerators, which promise much smaller machines and whose development requires detailed simulations that challenge or exceed current capabilities. Speedups approaching the theoretical optima are demonstrated, producing the first direct simulations of stages up to 1 TeV. This is made possible by a million times speedup thanks to a frame boost with a relativistic factor {gamma}{sub b} as high as 1300, taking advantage of the rotation to mitigate an instability that limited previous work.

Authors:
;  [1];  [2];  [3]
  1. Lawrence Berkeley National Laboratory, Berkeley, California 94720 (United States)
  2. Tech-X Corporation, Boulder, Colorado 80303 (United States)
  3. Lawrence Livermore National Laboratory, Berkeley, California 94550 (United States)
Publication Date:
OSTI Identifier:
21537256
Resource Type:
Journal Article
Journal Name:
Physics of Plasmas
Additional Journal Information:
Journal Volume: 18; Journal Issue: 3; Other Information: DOI: 10.1063/1.3559483; (c) 2011 American Institute of Physics; Journal ID: ISSN 1070-664X
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; LASERS; MINKOWSKI SPACE; PLASMA GUNS; PLASMA SIMULATION; ROTATION; WAKEFIELD ACCELERATORS; ACCELERATORS; LINEAR ACCELERATORS; MATHEMATICAL SPACE; MOTION; SIMULATION; SPACE

Citation Formats

Vay, J -L, Geddes, C G. R., Cormier-Michel, E, and Grote, D P. Effects of hyperbolic rotation in Minkowski space on the modeling of plasma accelerators in a Lorentz boosted frame. United States: N. p., 2011. Web. doi:10.1063/1.3559483.
Vay, J -L, Geddes, C G. R., Cormier-Michel, E, & Grote, D P. Effects of hyperbolic rotation in Minkowski space on the modeling of plasma accelerators in a Lorentz boosted frame. United States. doi:10.1063/1.3559483.
Vay, J -L, Geddes, C G. R., Cormier-Michel, E, and Grote, D P. Tue . "Effects of hyperbolic rotation in Minkowski space on the modeling of plasma accelerators in a Lorentz boosted frame". United States. doi:10.1063/1.3559483.
@article{osti_21537256,
title = {Effects of hyperbolic rotation in Minkowski space on the modeling of plasma accelerators in a Lorentz boosted frame},
author = {Vay, J -L and Geddes, C G. R. and Cormier-Michel, E and Grote, D P},
abstractNote = {The effects of hyperbolic rotation in Minkowski space resulting from the use of Lorentz boosted frames of calculation on laser propagation in plasmas are analyzed. Selection of a boost frame at the laser group velocity is shown to alter the laser spectrum, allowing the use of higher boost velocities. The technique is applied to simulations of laser driven plasma wakefield accelerators, which promise much smaller machines and whose development requires detailed simulations that challenge or exceed current capabilities. Speedups approaching the theoretical optima are demonstrated, producing the first direct simulations of stages up to 1 TeV. This is made possible by a million times speedup thanks to a frame boost with a relativistic factor {gamma}{sub b} as high as 1300, taking advantage of the rotation to mitigate an instability that limited previous work.},
doi = {10.1063/1.3559483},
journal = {Physics of Plasmas},
issn = {1070-664X},
number = 3,
volume = 18,
place = {United States},
year = {2011},
month = {3}
}