Non-radiating sources, dynamic anapole and Aharonov-Bohm effect

Abstract

We show that for a particular choice of gauge the vector potential of any non-radiating source is spatially localized along with its electric and magnetic fields. Important on its own, this special property of non-radiating sources dramatically simplifies the analysis of their quantitative aspects, and enables the interpretation of non-radiating sources as distributions of the elementary dynamic anapoles. Using the developed approach we identify and discuss a possible scenario for observing the time-dependent version of the Aharonov-Bohm effect in such systems.

8 pages; v2: significantly revised, close to published version

References in corpus (4)

• Dielectric Metamaterials with Toroidal Dipolar Response
• Toroidal dipole induced transparency for core-shell nanoparticles
• Invisible nanowires with interfering electric and toroidal dipoles
• Toroidal eigenmodes in all-dielectric metamolecules

Cited by in corpus (15)

• Nonradiating Photonics with Resonant Dielectric Nanostructures
• Optical anapoles in nanophotonics and meta-optics
• Extremely High Q-factor metamaterials due to Anapole Excitation
• Observation of Toroidal Pulses of Light
• Nonradiating anapole states in nanophotonics: from fundamentals to applications
• Hybrid Nanophotonics
• Electromagnetic sources beyond common multipoles
• Cylindrical vector beams reveal radiationless anapole condition in a resonant state
• Dynamic Anapole in Metasurfaces made of Sculptured Cylinders
• Light emission by accelerated electric, toroidal and anapole dipolar sources
• Toroidal optical transitions in hydrogen-like atoms
• Radiative toroidal dipole and anapole excitations in collectively responding arrays of atoms
• Optical Aharonov-Bohm effect due to toroidal moment inspired by general relativity
• The Aharonov-Bohm effect in a closed flux line
• Anapole mode excitation in novel perforated all-dielectric metamaterials