Maslov complex germ and high-frequency Gaussian beams for cold plasma in a toroidal domain

Maslov complex germ and high-frequency Gaussian beams for cold plasma in a toroidal domain

Asymptotic vector solutions describing, in the linear approximation, the passage of high-frequency Gaussian beams through an electroneutral plasma occupying a toroidal domain T (modeling a tokamak chamber) are constructed in a fairly effective form by using the Maslov complex germ theory. The partic...

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Bibliographic Details
Published in:Doklady. Mathematics Vol. 94; no. 1; pp. 480 - 485
Main Authors: Dobrokhotov, S. Yu, Cardinali, A., Klevin, A. I., Tirozzi, B.
Format: Journal Article
Language:English
Published: Moscow Pleiades Publishing 01-07-2016
Springer Nature B.V
Subjects:
Beams (radiation)
Gaussian beams (optics)
Magnetic fields
Mathematical Physics
Mathematics
Mathematics and Statistics
Particle density (concentration)
Radon transformation
Tokamak devices
Transformations (mathematics)
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Summary:Asymptotic vector solutions describing, in the linear approximation, the passage of high-frequency Gaussian beams through an electroneutral plasma occupying a toroidal domain T (modeling a tokamak chamber) are constructed in a fairly effective form by using the Maslov complex germ theory. The particle density and the magnetic field in T are assumed to be given. Based on Radon transforms, the reconstruction of the particle density and the magnetic field from measurements of the characteristics of Gaussian beams after their passage through T is discussed.
ISSN:1064-5624
1531-8362
DOI:10.1134/S106456241604030X