Analysis of Landau damping in radially inhomogeneous plasma column

The Landau damping behavior in a cylindrical inhomogeneous warm magnetized plasma waveguide has been studied. The radial inhomogeneity for different characteristic lengths (L₀) with strong spatial dispersion has been taken into account. The analyses have been considered for two limits ω_ce < ω_pe and ω_ce > ω_pe. Due to the radial inhomogeneity of the plasma, all essential equations for studying the Landau damping are calculated in the Bessel-Furrier and differential Bessel-Furrier expansions. The dependence of Landau damping on the inhomogeneity, temperature and external magnetic field for electrostatic modes is scrutinized and described in detail through numerical calculations. The associated numerical results are presented and discussed.