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Journal Articles Open Physics Year : 2020

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

Abstract

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.
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hal-02434217 , version 1 (09-01-2020)
hal-02434217 , version 2 (15-01-2020)
hal-02434217 , version 3 (29-01-2020)
hal-02434217 , version 4 (04-04-2020)

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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⟩
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