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 Schrödinger equation and after cumbersome analysis the potential is determined. Refs 14.