Magnetic and Hybrid Anapole States in Dielectric Cylindrical Particles

Abstract

Recently, anapole states as an interesting type of non-radiating sources attracted physicist’s attention and have been insensitively studied. It was demonstrated that an electric dipole anapole state of a high permittivity dielectric particle is formed due to destructive interference between the radiation of electric dipole and electric toroidal moments. Here, we analytically study a magnetic anapole state with suppressed magnetic dipole radiation in a dielectric cylindrical particle. We demonstrate that this state is formed due to the destructive interference between magnetic dipole and magnetic toroidal dipole radiations in the far-field zone. We also investigate a three-fold hybrid anapole state which is obtained due to existence of electric dipole, magnetic dipole, and electric quadrupole anapoles at the same wavelength in a finite silicon nanodisk in optical domain.