Quasinormal mode solvers for resonators with dispersive materials

P. Lalanne, W. Yan, A. Gras, C. Sauvan, J. P. Hugonin, M. Besbes, G. Demésy, J. Zimmerling, Rob Remis, P. Urbach, More Authors

Research output: Contribution to journalArticleScientificpeer-review

31 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)686-704
Number of pages19
JournalJournal of the Optical Society of America A: Optics and Image Science, and Vision
Issue number4
Publication statusPublished - 2019

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