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On diagnostics of plasma cylindrical density by wave diffracted field

I. T. Selezov

Institute of Hydromechanics, Ukrainian NAS, 8/4 Zhelyabov str., 03680 Kyiv, Ukraine }

Abstract
The ill-posed problem for plasma inhomogeneity which is irradiated by an external electromagnetic field and diagnosed by a reflected diffraction field is considered. An analytical solution of this ill-posed problem for cylindrical plasma is constructed based on generalization of the solutions for spherical plasma. Such ill-posed problem of mathematical physics is investigated, starting from a general system of equations for plasma characterized by numerous interactions. The plasma is considered in a cylindrical coordinate system with the density of electrons in the center. After a series of assumptions, the problem is reduced to solving a second-order equation for the third component of the potential. It is shown that this potential enters into the Schr\:{o}dinger equation and after cumbersome analysis the potential is determined. Refs 14.

Magnetohydrodynamics 55, No. 4, 389-396, 2019 [PDF, 0.11 Mb]

Copyright: Institute of Physics, University of Latvia
Electronic edition ISSN 1574-0579
Printed edition ISSN 0024-998X
DOI: http://doi.org/10.22364/mhd