Plasma sphere equilibrium in external r.f. fields

Abstract

The problem on confinement and equilibrium of the spherical plasma formation in external r.f. electromagnetic fields is solved using the method of the integral equation of macroscopic electrodynamics. Namely, the problem of plasma confinement with r.f. pressure forces (the Gaponov-Miller force) is formulated and self-consistent problem of the external electromagnetic field providing the required configuration of non-disturbance electromagnetic fields e.g. the field in which together with volume charge forces taken into account forms the spherical symmetric potential well is solved. It is shown that such a solution exists only if there is rotating ordered motion of plasma. It is naturally that the non-disturbance confining r.f. field is determined only in the region linear dimensions of which correspond to the sphere ones. The field value out of these dimensions is defined solving the corresponding non-corrected mathematical problem. This permits to build the source of the confining field with the definite arbitrariness that makes easier to realize the device in practice.