On the Symmetrical Modes in a Cylindrical Nonisothermal Plasma Waveguide in a Finite External Magnetic Field

A MHD, symmetrical, nonpotential waves in nonuniform, cylindrical nonisothermal plasma waveguide placed in a finite external magnetic field H 0 directed along the axis of the waveguide are considered. The thermal velocity of the electrons ν Te = ( kT e / m e ) 1/2 ( k — Boltzman's constant, T e — temperature, m e — mass of the electron) is not neglected. As a consequence we obtain one more solution in the plasma region and respectively an equation of third power on χ 2 — the transverse wave number. As far as we know only equations of second power on χ 2 describing non‐potential waves are investigated. The dispersion equations are written solving the boundary‐value problem. Our results coincide with well known ones when the electron thermal velocity tends to zero.