Quasinormal mode solvers for resonators with dispersive materials
P. Lalanne (Université de Bordeaux)
W. Yan (Université de Bordeaux)
A. Gras (Université de Bordeaux)
C. Sauvan (Université Paris-Saclay)
J. P. Hugonin (Université Paris-Saclay)
M. Besbes (Université Paris-Saclay)
G. Demésy (Aix Marseille Université)
J. Zimmerling (TU Delft - Signal Processing Systems)
Rob Remis (TU Delft - Signal Processing Systems)
P. Urbach (TU Delft - ImPhys/Optics)
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Abstract
Optical resonators are widely used in modern photonics. Their spectral response and temporal dynamics are fundamentally driven by their natural resonances, the so-called quasinormal modes (QNMs), with complex frequencies. For optical resonators made of dispersive materials, the QNM computation requires solving a nonlinear eigenvalue problem. This raises a difficulty that is only scarcely documented in the literature. We review our recent efforts for implementing efficient and accurate QNM solvers for computing and normalizing the QNMs of micro- and nanoresonators made of highly dispersive materials. We benchmark several methods for three geometries, a two-dimensional plasmonic crystal, a two-dimensional metal grating, and a three-dimensional nanopatch antenna on a metal substrate, with the perspective to elaborate standards for the computation of resonance modes.