  The near fields originated from a small quasi-two-dimensional ferrite disk
with magnetic-dipolar-mode (MDM) oscillations are the fields with broken dual
(electric-magnetic) symmetry. Numerical studies show that such fields, called
the magnetoelectric (ME) fields, are distinguished by the power-flow vortices
and helicity parameters [E. O. Kamenetskii, R. Joffe, and R. Shavit, Phys. Rev.
E 87, 023201 (2013)]. These numerical studies can well explain recent
experimental results with MDM ferrite disks. In the present paper, we obtain
analytically topological characteristics of the ME-field modes. For this
purpose, we use a method of successive approximations. In the second
approximation we take into account the influence of the edge regions of an open
ferrite disk, which are excluded in the first-approximation solving of the
magnetostatic (MS) spectral problem. Based on the analytical method, we obtain
a 'pure' structure of the electric and magnetic fields outside the MDM ferrite
disk. The analytical studies can display some fundamental features that are
non-observable in the numerical results. While in numerical investigations, one
cannot separate the ME fields from the external electromagnetic (EM) radiation,
the present theoretical analysis allows clearly distinguish the eigen
topological structure of the ME fields. Importantly, this ME-field structure
gives evidence for certain phenomena that can be related to the Tellegen and
bianisotropic coupling effects. We discuss the question whether the MDM ferrite
disk can exhibit properties of the cross magnetoelectric polarizabilities.
