Abstract
Electromagnetic anapoles of a Cartesian expansion of localized electric currents
Highlights
Electromagnetic anapoles are nonradiating oscillations of electric charge
We introduce a different family of anapoles based on a Cartesian electric-current multipole expansion and propose a way to create the lowest-order, centrosymmetric member of this family
We find a nontoroidal multipole structure that radiates as an electric dipole despite its zero total dipole moment
Summary
Electromagnetic anapoles are nonradiating oscillations of electric charge. They are known to be formed by a combination of an ordinary and a toroidal multipole. In the expansion of the radiated field, a toroidal dipole will show up as an ordinary dipole, even though the total dipole moment of this excitation (integrated over the volume of the particle) is equal to zero. As a figure of merit for such anapole designs we introduce a ratio of the total electromagnetic power radiated by an electric dipole to that of the designed anapole with the same integrated amplitude of the electric current density in the particle.
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