Spherical axially symmetric electromagnetic waves in isotropic medium

The solution of a problem on the propagation of a spherical electromagnetic wave in space, free from sources, in the case of an isotropic medium and the assumption of rotational symmetry, is offered. As a result of the solution of the Maxwell uniform equations in spherical coordinates, detailed analytical expressions for the components of the fields of axially symmetric spherical E- and H-waves, without use of Hertz's vector, accepted in electrodynamics, may be obtained.