The resonance field of a radiator surrounded by an inhomogeneous spherical plasma shell

The field of a radiator located in free space and surrounded by an inhomogeneous spherical plasma shell whose permittivity passes through the point ? = 0 is found and investigated. It is shown that the behavior of the permittivity in the vicinity of the value ? = 0 substantially affects the formation of the source field. The resonance properties of the obtained solution to the problem are studied for a sphere of a small electrical dimension.