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The magnetic Aharonov-Bohm effect shows that charged particles may beaffected by the vector potential in regions without any electric or magneticfields [1]. The Aharonov-Bohm effect was experimentally confirmed [2-3] and hasbeen found in many situations [4-6]. A common explanation is based on quantummechanics, which states that the wavefunctions associated with the charges willaccumulate a phase shift due to the vector potential. However, consensus aboutits nature and interpretation has not been achieved [7-14]. We here propose asimple but reasonable interpretation based on the theory for electromagneticradiation and couplings [15]. The energy associated with a pulse radiator isdivided into a Coulomb-velocity energy and a radiative energy, together with amacroscopic Schott energy accounting for the energy exchange between them. Allthese energies are expressed with terms including the potentials, so are themutual coupling energies. There exists a force acting on the moving chargeseven though the fields completely vanish. This force makes the charges passthrough the magnetic solenoid in different velocity with different path length,causing a phase shift the same as that obtained with quantum mechanics. Thetheory is originally aimed for providing an interpretation for electromagneticradiation and mutual coupling. It is derived directly from the Maxwell theorywith no modification but only substitution and reorganization.

An interpretation for Aharonov-Bohm effect with classical electromagnetic theory