
Modal analysis of anapoles
Author(s) -
Rémi Colom,
Brian Stout,
R. C. McPhedran,
Nicolas Bonod
Publication year - 2020
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1461/1/012017
Subject(s) - scattering , physics , field (mathematics) , wavelength , near and far field , optics , dielectric , fano resonance , light scattering , computational physics , quantum mechanics , mathematics , plasmon , pure mathematics
The resonant interaction between light dielectric scatterers can yield to a resonant light scattering process and to a strong enhancement of the near field intensities at a deep sub-wavelength scale. While Fano resonances can be observed in the scattering spectrum of Mie scatterers, the spectrum of the internal field enhancement is composed of a set of peaks that feature Lorentzian shapes. The question is to know how to optimize the internal field enhancement and how to predict the maximum of the internal field enhancement with respect to the far field response. Here, we derive a pole expansion of the scattering operator to perform a modal analysis of the external and internal field spectra. This pole expansion provides a suitable mathematical description of the Fano resonances observed in the scattering spectrum and of the Lorentzian peaks observed in the internal field spectrum. This modal analysis is also used to predict the maxima of the internal field, i.e. the frequency that yields the strongest field intensity inside the dielectric scatterer.