Effects of Hyperbolic Rotation in Minkowski Space on the Modeling of Plasma Accelerators in a Lorentz Boosted Frame

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Laser driven plasma accelerators promise much shorter particle accelerators but their development requires detailed simulations that challenge or exceed current capabilities. We report the first direct simulations of stages up to 1 TeV from simulations using a Lorentz boosted calculation frame resulting in a million times speedup, thanks to a frame boost as high as gamma = 1300. Effects of the hyperbolic rotation in Minkowski space resulting from the frame boost on the laser propagation in the plasma is shown to be key in the mitigation of a numerical instability that was limiting previous attempts.

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Vay, J.-L.; Geddes, C. G. R.; Cormier-Michel, E. & Grote, D. P. September 21, 2010.

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Laser driven plasma accelerators promise much shorter particle accelerators but their development requires detailed simulations that challenge or exceed current capabilities. We report the first direct simulations of stages up to 1 TeV from simulations using a Lorentz boosted calculation frame resulting in a million times speedup, thanks to a frame boost as high as gamma = 1300. Effects of the hyperbolic rotation in Minkowski space resulting from the frame boost on the laser propagation in the plasma is shown to be key in the mitigation of a numerical instability that was limiting previous attempts.

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  • Journal Name: Physical Review Letters

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  • Report No.: LBNL-3968E
  • Grant Number: DE-AC02-05CH11231
  • Office of Scientific & Technical Information Report Number: 991745
  • Archival Resource Key: ark:/67531/metadc1013142

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  • September 21, 2010

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  • Oct. 14, 2017, 8:36 a.m.

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  • Nov. 7, 2017, 7:18 p.m.

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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, article, September 21, 2010; Berkeley, California. (digital.library.unt.edu/ark:/67531/metadc1013142/: accessed September 18, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.