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.
https://hal-iogs.archives-ouvertes.fr/hal-00566654
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Submitted on : Thursday, April 5, 2012 - 3:15:59 PM Last modification on : Tuesday, December 8, 2020 - 10:01:12 AM Long-term archiving on: : Tuesday, December 13, 2016 - 5:58:41 PM
Jean-Paul Hugonin, Mondher Besbes, Philippe Lalanne. Hybridization of electromagnetic numerical methods through the G-matrix algorithm. Optics Letters, Optical Society of America - OSA Publishing, 2008, 33 (14), pp.1590-1592. ⟨hal-00566654⟩