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Teoreticheskaya i Matematicheskaya Fizika, 2018, Volume 196, Number 1, Pages 135–160
DOI: https://doi.org/10.4213/tmf9520 (Mi tmf9520) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Gausian packets and beams with focal points in vector problems of plasma physics

A. Yu. Anikinab, S. Yu. Dobrokhotovba, A. I. Klevinba, B. Tirozzic

a Ishlinsky Institute for Problems in Mechanics, RAS, Moscow, Russia
b Moscow Institute of Physics and Technology (State University), Dolgoprudnyi, Moscow Oblast, Russia
c Department of Physics, La Sapienza University, Rome, Italy
Full-text PDF (861 kB) Citations (3)
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DOI: https://doi.org/10.4213/tmf9520
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.
Keywords: linearized plasma equation, tokamak, Maslov complex germ, Gaussian beam.
Funding agency Grant number
Russian Science Foundation 16-11-10282
This research is supported by a grant from the Russian Science Foundation (Project No. 16-11-10282).
Received: 13.12.2017
English version:
Theoretical and Mathematical Physics, 2018, Volume 196, Issue 1, Pages 1059–1081
DOI: https://doi.org/10.1134/S0040577918070115
Bibliographic databases:
PACS: 02.30.Mv
MSC: 35Q60
Language: Russian
Citation: A. Yu. Anikin, S. Yu. Dobrokhotov, A. I. Klevin, B. Tirozzi, “Gausian packets and beams with focal points in vector problems of plasma physics”, TMF, 196:1 (2018), 135–160; Theoret. and Math. Phys., 196:1 (2018), 1059–1081
Citation in format AMSBIB
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\paper Gausian packets and beams with focal points in vector problems of plasma physics
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\pages 135--160
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  • https://doi.org/10.4213/tmf9520
  • https://www.mathnet.ru/eng/tmf/v196/i1/p135
    • This publication is cited in the following 3 articles:
    1. Tirozzi B., “Scattering of Lower Hybrid Waves in a Magnetized Plasma”, Physics, 2:4 (2020), 640–653  crossref  isi
    2. V. V. Kuydin, M. V. Perel, “Gaussian beams for 2D Dirac equation with electromagnetic field”, Proceedings of the International Conference Days on Diffraction (Dd) 2019, eds. O. Motygin, A. Kiselev, L. Goray, A. Fedotov, A. Kazakov, A. Kirpichnikova, IEEE, 2019, 111–116  crossref  isi
    3. Anatoly Yu. Anikin, Sergey Yu. Dobrokhotov, Alexander I. Klevin, Brunello Tirozzi, “Short-Wave Asymptotics for Gaussian Beams and Packets and Scalarization of Equations in Plasma Physics”, Physics, 1:2 (2019), 301  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    References:57
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