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JOURNALS // Teoreticheskaya i Matematicheskaya Fizika // Archive

TMF, 2018 Volume 196, Number 1, Pages 135–160 (Mi tmf9520)

This article is cited 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

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.

PACS: 02.30.Mv

MSC: 35Q60

Received: 13.12.2017

DOI: 10.4213/tmf9520


 English version:
Theoretical and Mathematical Physics, 2018, 196:1, 1059–1081

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© Steklov Math. Inst. of RAS, 2024