Open AccessNon-Hermitian bath model for arrays of coupled nanoresonators
Author(s) -
Vincent Vinel,
Zejian Li,
Adrien Borne,
Adrien Bensemhoun,
Iván Favero,
Cristiano Ciuti,
Giuseppe Leo
Publication year - 2021
Publication title -
optics express
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.394
H-Index - 271
ISSN - 1094-4087
DOI - 10.1364/oe.436125
Subject(s) - resonator , quantum optics , wavefront , nanophotonics , hermitian matrix , physics , nonlinear optics , optics , nonlinear system , dielectric , physical optics , coupling (piping) , quantum , coupled mode theory , transformation optics , quantum mechanics , statistical physics , metamaterial , refractive index , materials science , metallurgy
Nanophotonics systems have recently been studied under the perspective of non-Hermitian physics. Given their potential for wavefront control, nonlinear optics and quantum optics, it is crucial to develop predictive tools to assist their design. We present here a simple model relying on the coupling to an effective bath consisting of a continuum of modes to describe systems of coupled resonators, and test it on dielectric nanocylinder chains accessible to experiments. The effective coupling constants, which depend non-trivially on the distance between resonators, are extracted from numerical simulations in the case of just two coupled elements. The model predicts successfully the dispersive and reactive nature of modes for configurations with multiple resonators, as validated by numerical solutions. It can be applied to larger systems, which are hardly solvable with finite-element approaches.