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Subwavelength resonant dielectric nanoparticles with high refractive indices
Author(s) -
Ammari Habib,
Dabrowski Alexander,
Fitzpatrick Brian,
Millien Pierre,
Sini Mourad
Publication year - 2019
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.5760
Subject(s) - refractive index , dielectric , materials science , plasmon , nanoparticle , optics , field (mathematics) , eigenvalues and eigenvectors , optoelectronics , physics , nanotechnology , quantum mechanics , mathematics , pure mathematics
This paper aims at understanding the nature of the subwavelength resonant frequencies of dielectric particles with high refractive indices. It is proved that for an arbitrary shaped particle, these subwavelength resonant frequencies can be expressed in terms of the eigenvalues of the Newtonian potential associated with its shape. The enhancement of the scattered field at the resonant frequencies is shown. The hybridization of the subwavelength resonant frequencies of a dimer consisting of high refractive index dielectric nanoparticles is also characterized.