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.
© 2008 Optical Society of America
Diffraction and Gratings
Original Manuscript: March 12, 2008
Revised Manuscript: June 11, 2008
Manuscript Accepted: June 13, 2008
Published: July 11, 2008
J. P. Hugonin, M. Besbes, and P. Lalanne, "Hybridization of electromagnetic numerical methods through the G-matrix algorithm," Opt. Lett. 33, 1590-1592 (2008)