Simulation of a cylindrical slow extraordinary wave in cold magnetoactive plasma

The influence exerted by an external magnetic field on nonrelativistic cylindrical plasma oscillations is studied. To initialize a slow extraordinary wave in a magnetoactive plasma, the missing initial conditions are constructed using the solution of a linear problem in terms of Fourier–Bessel series. A second-order accurate finite-difference scheme of the MacCormack type is constructed for the numerical simulation of a nonlinear wave. It is shown that, when the external magnetic field is taken into account, the Langmuir oscillations are transformed into a slow extraordinary wave. The velocity of the wave grows with increasing external constant field, which facilitates energy transfer out of the initial localization domain of oscillations. As a result, the well-known effect of off-axial breaking is observed with a time delay and, starting at some critical value of external field, is not observed at all, i.e., a global-in-time smooth solution is formed.