Electromagnetic Fields of Eigenmodes in Spherical Resonators

In this article a physical theory of eigenmodes of electromagnetic resonators is presented. It is known, that Maxwell equations predict non-physical singular behavior of eigenmodes in spherical resonators. This shows that Maxwell theory is incomplete. For the improvement of the theory this problem is treated with the help of Maxwell-Einstein theory. Maxwell-Einstein equations take into account space-time curvature. Regular implementation of this approach permits to avoid the influence of singularity. Another result consists of that eigenmodes with large values of orbital angular momentum are not observable. An analogy with CMB in the Universe is made.