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

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

73 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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