Axisymmetric spherical traveling electromagnetic waves in an isotropic medium

The problem of propagation of spherical electromagnetic waves traveling in an isotropic space in the absence of sources is solved in the axisymmetric case for the first two modes varying along the latitude. The solution is obtained from the homogeneous Maxwell equations represented in spherical coordinates in a real form. Analytic expressions for the components of the fields of these E and H waves are used to derive the equations of the corresponding field lines. Field-line patterns are displayed that illustrate the dynamics of propagation of converging and diverging spherical electromagnetic waves in the case when the former are transformed into the latter.