A simple decomposition for the time-harmonic axisymmetric solutions of the free Maxwell equations

Mayeul Arminjon (1)

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

Garay-Avendaño & Zamboni-Rached (2014) proposed a method to obtain time-harmonic axisymmetric free Maxwell fields in explicit form, by starting from a solution of the scalar wave equation. The method has two variants, depending on whether or not the EM field, thus derived from a scalar wave, is transformed by EM duality. We show that this method (with its two variants) allows one to obtain all time-harmonic axisymmetric free Maxwell fields, and hence, by summation on frequencies, all axisymmetric free Maxwell fields.

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

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

Mayeul Arminjon. A simple decomposition for the time-harmonic axisymmetric solutions of the free Maxwell equations. 2020. ⟨hal-02434217v1⟩