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.
Jean-Paul Hugonin, Mondher Besbes, Philippe Lalanne. Hybridization of electromagnetic numerical methods through the G-matrix algorithm. Optics Letters, Optical Society of America, 2008, 33 (14), pp.1590-1592. ⟨hal-00566654⟩
