Electromagnetic sources beyond common multipoles

Abstract

The complete dynamic multipole expansion of electromagnetic sources contains more types of multipole terms than it is conventionally perceived. The toroidal multipoles are one of the examples of such contributions that have been widely studied in recent years. Here we inspect more closely the other type of commonly overlooked terms known as the mean-square radii. In particular, we discuss both quantitative and qualitative aspects of the mean-square radii and provide a general geometrical framework for their visualization. We also consider the role of the mean-square radii in expanding the family of non-trivial non-radiating electromagnetic sources.

arXiv comment10 pages

References in corpus (7)

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Cited by in corpus (9)

• Optical anapoles in nanophotonics and meta-optics
• Supertoroidal light pulses: Propagating electromagnetic skyrmions in free space
• Nonradiating anapole states in nanophotonics: from fundamentals to applications
• Engineering nanoparticles with pure high-order multipole scattering
• Multipolar expansions for scattering and optical force calculations beyond the long wavelength approximation
• Toroidic and antitoroidic orders in hexagonal arrays of dielectric trimers: magnetic group approach
• Probing optical anapoles with fast electron beams
• Theory, observation and ultrafast response of novel hybrid anapole states
• Nontrivial Pure Zero-Scattering Regime Delivered by a Hybrid Anapole State