Egocentric physics : just about Mie

Abstract

We show that the physics of anapole excitations can be accurately described in terms of a resonant state expansion formulation of standard Mie theory without recourse to Cartesian coordinate based `toroidal' currents that have previously been used to describe this phenomenon. In this purely Mie theory framework, the anapole behavior arises as a result of a Fano-type interference effect between different quasi-normal modes of the scatterer that effectively eliminate the scattered field in the associated multipole order.

10 pages, 5 figures

References in corpus (3)

• Excitation of radiationless anapole mode of isotropic dielectric nanoparticles with tightly focused radially polarized beam
• Exact mode volume and Purcell factor of open optical systems
• Interference between the modes of an all-dielectric meta-atom

Cited by in corpus (6)

• Optical anapoles in nanophotonics and meta-optics
• Modal Expansion of the Scattered Field: Causality, Non-Divergence and Non-Resonant Contribution
• Scattering theory and cancellation of gravity-flexural waves of floating plates
• Parity-Time Symmetry and Exceptional points: A Tutorial
• Anapole plasmonic meta-atom enabled by inverse design for metamaterials transparency
• Gaussian regularization for resonant states: open and dispersive optical systems