By using four dimensional double potential formulation of electro-magnetic field

first of all

we provide solutions of the generalized Maxwell and d'Alember equations

moreover we give relations between the field strength and four dimensional double potential.Then

by using the solution of the d'Alember equations in the presence of a electric charge

we derive electro-magnetic radiation formulae for a particle with magnetic charge and a particle with both electric and magnetic charges(dyon)

and we also provide the electric quadrupole and magnetic quadrupole four dimensional double potentials that are induced by a electric charge and magnetic charge

respectively.Finally

we obtain electric quadrupole and magnetic quadrupole radiation formulae for the dyon

and discuss their physical properties.