An explicit representation for the axisymmetric solutions of the free Maxwell equations

Mayeul Arminjon (1)

1 3SR - Laboratoire sols, solides, structures - risques [Grenoble]

Garay-Avendano & 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.

Mots clés: electromagnetic duality; Maxwell equations; axial symmetry; exact solutions; electromagnetic duality.

Domaines: Physique [physics]; Physique mathématique [math-ph]

Mayeul Arminjon. An explicit representation for the axisymmetric solutions of the free Maxwell equations. Open Physics, 2020, 18, pp.255-263. ⟨10.1515/phys-2020-0117⟩. ⟨hal-02434217v4⟩