Dipole resonances of non-absorbing dielectric nanospheres in the optical range: approximate explicit conditions for high- and moderate-refractive-index materials

TL;DR

This paper derives simple explicit formulas to accurately predict electric and magnetic dipole resonances in non-absorbing dielectric nanospheres across a range of refractive indices, aiding design and analysis.

Contribution

It provides approximate explicit conditions for dipole resonances applicable to both high and moderate refractive-index dielectric nanospheres, extending previous results.

Findings

Explicit formulas accurately predict dipole resonances.

Formulas valid for both high and moderate refractive indices.

Enhances understanding of optical scattering in dielectric nanospheres.

Abstract

In this work, we discuss the way in which electric and magnetic dipole resonances arising in the optical scattering spectrum of non-absorbing dielectric nanospheres can be accurately approximated by means of simple explicit expressions that depend on sphere's radius, incident wavelength and relative refractive index. We find such expressions to hold not only for high but also for moderate refractive-index values, thus complementing the results reported in previous studies.