Electromagnetic Fields of Eigenmodes in Spherical Resonators

Yuriy N. Zayko *

Russian Presidential Academy of National Economy and Public Administration, Stolypin Volga Region Institute, Russia, 410031, Saratov, Sobornaya st, 23/25, Russia

*Author to whom correspondence should be addressed.


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.


Keywords: Resonator, eigenmode, singularity, cosmic microwave background

How to Cite

N. Zayko, Y. (2014). Electromagnetic Fields of Eigenmodes in Spherical Resonators. Physical Science International Journal, 5(1), 18–25. https://doi.org/10.9734/PSIJ/2015/12727


Download data is not yet available.