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Ядерна фізика та енергетика
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Full text (ua) High-frequency fields in a magnetized plasma cylinder with a priaxial cavity excited by an azimuthal RF current
M. A. Beloshenko*
Institute for Nuclear Research, National Academy of Sciences of Ukraine, Kyiv, Ukraine
*Corresponding author. E-mail address:
Beloshenko@gmail.com
Abstract: The problem of electromagnetic wave propagation in a plasma cylinder with a cylindrical cavity along the axis is considered. In the axial direction, the tubular discharge under consideration is limited by conductive walls. The problem is reduced to a system of six differential equations for complex field amplitudes and, with the remainder, to a fourth-order differential equation with the Bessel operator and the square of this operator for the longitudinal complex amplitude of the electric field in the plasma. This equation (by derivation) assumes a homogeneous plasma (the components of the permittivity tensor do not depend on the radius). But there is another (more general) equation for inhomogeneous plasma that is suitable for its solution by the finite difference method. However, the transition to finite differences gives very cumbersome expressions, which force us to limit ourselves to an analytical solution of the problem with a tubular discharge only in the case of a homogeneous plasma.
Keywords: dielectric permittivity tensor, structure of wave fields, helicon waves, plasma cylinder with a periaxial cavity.
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