Quasinormal mode solvers for resonators with dispersive materials

P. Lalanne*, W. Yan, A. Gras, C. Sauvan, J.-p. Hugonin, M. Besbes, G. Demésy, M. D. Truong, B. Gralak, F. Zolla, André Nicolet, F. Binkowski, L. Zschiedrich, S. Burger, J. Zimmerling, R. Remis, P. Urbach, H. T. Liu, T. Weiss

*Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review

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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
JournalJournal of the Optical Society of America. A: Optics, Image Science, and Vision
Issue number4
Publication statusPublished - 1 Apr 2019
Externally publishedYes


  • Quasinormal mode
  • QNM solver
  • dispersive materials
  • 22/2 OA procedure


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