title: Hybridization of electromagnetic numerical methods through the G-matrix algorithm.
abstract: For the sake of numerical performance, we hybridize two common approaches often used in electromagnetic computations, namely the finite-element method and the aperiodic Fourier modal method. To that end, we propose an extension of the classical S-matrix formalism to numerical situations, which requires handling different mathematical representations of the electromagnetic fields. As shown with a three-dimensional example, the proposed G-matrix formalism is stable and allows for an enhanced performance in terms of numerical accuracy and efficiency.
authors.affiliation: Laboratoire Charles Fabry de l'Institut d'Optique, CNRS, Université Paris-Sud, Palaiseau, France. jean-paul.hugonin@institutoptique.fr
authors.forename: J P
authors.initials: JP
authors.lastname: Hugonin
authors.forename: M
authors.initials: M
authors.lastname: Besbes
authors.forename: P
authors.initials: P
authors.lastname: Lalanne