An explicit representation for the axisymmetric solutions of the free Maxwell equations
Classical Physics
2020-07-07 v1
Abstract
Garay-Avenda\~no \& Zamboni-Rached (2014) defined two classes of axisymmetric solutions of the free Maxwell equations. We prove that the linear combinations of these two classes of solutions cover all totally propagating time-harmonic axisymmetric free Maxwell fields -- and hence, by summation on frequencies, all totally propagating axisymmetric free Maxwell fields. It provides an explicit representation for these fields. This will be important, e.g., to have the interstellar radiation field in a disc galaxy modelled as an exact solution of the free Maxwell equations. Keywords: Maxwell equations; axial symmetry; exact solutions; electromagnetic duality
Cite
@article{arxiv.2007.02002,
title = {An explicit representation for the axisymmetric solutions of the free Maxwell equations},
author = {Mayeul Arminjon},
journal= {arXiv preprint arXiv:2007.02002},
year = {2020}
}
Comments
17 pages. Journal version is open access, see DOI below