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Gaussian Packets and Beams with Focal Points in Vector Problems of Plasma Physics

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Abstract

We consider a linearized equation describing plasma motion in a toroidal domain (tokamak) and study the asymptotic forms of steady-state solutions of the Gaussian beam type with a short wave length, which correspond to electric modes. We also study Gaussian wave packets and localized “cigar”-type beams describing the transmission of localized perturbations through the tokamak chamber. We separately consider the case of focal points on a trajectory and the asymptotic forms in a neighborhood of a focal point.

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Authors and Affiliations

  1. Ishlinskii Institute for Problems in Mechanics, RAS, Moscow, Russia

    A. Yu. Anikin, S. Yu. Dobrokhotov & A. I. Klevin

  2. Moscow Institute of Physic and Technology (State University), Dolgoprudny, Moscow Oblast, Russia

    A. Yu. Anikin, S. Yu. Dobrokhotov & A. I. Klevin

  3. Department of Physics, La Sapienza University, Rome, Italy

    B. Tirozzi

Authors
  1. A. Yu. Anikin
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  2. S. Yu. Dobrokhotov
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  3. A. I. Klevin
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  4. B. Tirozzi
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Correspondence to A. Yu. Anikin.

Additional information

This research is supported by a grant from the Russian Science Foundation (Project No. 16-11-10282).

Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 196, No. 1, pp. 135–160, July, 2018.

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Anikin, A.Y., Dobrokhotov, S.Y., Klevin, A.I. et al. Gaussian Packets and Beams with Focal Points in Vector Problems of Plasma Physics. Theor Math Phys 196, 1059–1081 (2018). https://doi.org/10.1134/S0040577918070115

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  • DOI: https://doi.org/10.1134/S0040577918070115

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