Regular Article

Scattering properties of collective dipolar systems

Laboratoire Kastler Brossel, Sorbonne Université, CNRS, ENS-PSL University, Collège de France, Paris, France

^a e-mail: antoine.canaguier@gmail.com

Received: 27 October 2019
Received in final form: 10 February 2020
Published online: 22 April 2020

Abstract

We present a theoretical treatment of light scattering by an ensemble of N dipoles, taking into account recurrent multiple scattering. We study the intrinsic optical properties of collective dipolar systems without specifying a particular illumination condition. We apply this formalism to study the collective absorption modes for an ensemble of small nanoparticles and then to derive collective radiative corrections due to mutual interactions in dipolar ensembles, a topic of major importance in the development of collective nanophotonic systems or atomic networks used as optical clocks.