Based on a relativistic fluid-Maxwell model, laser-induced plasma dynamics is investigated for relativistic periodic waves. Within a one-dimensional (1D) description, the Akhiezer–Polovin model is applied to the existence of periodic, nonlinearly coupled electromagnetic and electrostatic waves, and the corresponding particle motion. Known existence criteria for periodic solutions are generalized. The corresponding stability behaviors are investigated by 1D integrators of the relativistic fluid-Maxwell model. It is shown that in contrast to the vacuum solution, linearly polarized coupled electromagnetic-electrostatic waves are unstable in plasmas. The magnitudes of the growth rates are investigated in terms of the maximum amplitudes and normalized phase velocities.
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July 2010
Research Article|
July 08 2010
Classification and stability of plasma motion in periodic linearly polarized relativistic waves
G. Lehmann;
G. Lehmann
Institut für Theoretische Physik,
Heinrich-Heine-Universität Düsseldorf
, D-40225 Düsseldorf, Germany
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K. H. Spatschek
K. H. Spatschek
Institut für Theoretische Physik,
Heinrich-Heine-Universität Düsseldorf
, D-40225 Düsseldorf, Germany
Search for other works by this author on:
G. Lehmann
K. H. Spatschek
Institut für Theoretische Physik,
Heinrich-Heine-Universität Düsseldorf
, D-40225 Düsseldorf, Germany
Phys. Plasmas 17, 072102 (2010)
Article history
Received:
March 23 2010
Accepted:
May 19 2010
Citation
G. Lehmann, K. H. Spatschek; Classification and stability of plasma motion in periodic linearly polarized relativistic waves. Phys. Plasmas 1 July 2010; 17 (7): 072102. https://doi.org/10.1063/1.3449591
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