Axisymmetric standing spherical electromagnetic waves in isotropic space with a "core" at the centre

The solution of a problem of the standing spherical electromagnetic waves in space, free from sources, in case of isotropic medium on assumption of rotational symmetry, at presence of ideally conducting spherical "core" at the centre is offered. Analytical expressions for components of fields of the symmetric standing spherical E- and H-waves at presence of "core" at the centre are obtained.