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Subwavelength resonant dielectric nanoparticles with high refractive indices

by H. Ammari and A. Dabrowski and B. Fitzpatrick and P. Millien and M. Sini

(Report number 2019-11)

Abstract
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.

Keywords: Dielectric nanoparticles, high refractive index, subwavelength resonances, asymptotic expansions.

@Techreport{ADFMS19_815,
  author = {H. Ammari and A. Dabrowski and B. Fitzpatrick and P. Millien and M. Sini},
  title = {Subwavelength resonant dielectric nanoparticles with high refractive indices},
  institution = {Seminar for Applied Mathematics, ETH Z{\"u}rich},
  number = {2019-11},
  address = {Switzerland},
  url = {https://www.sam.math.ethz.ch/sam_reports/reports_final/reports2019/2019-11.pdf },
  year = {2019}
}

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