2016/03/17 by Teppo Häyrynen, Jakob Rosenkrantz de Lasson, Niels Gregersen · 31 citations
Engineering · Materials Science · Mathematics · Physics and Astronomy · #Computer science #Fourier transform #Geometry #Materials science #Mathematical analysis #Mathematics #Modal #Nanophotonics #Optical Coatings and Gratings #Optics #Photonic Crystals and Applications #Photonic and Optical Devices #Physics #physics.comp-ph #physics.optics
paper · pdf · doi:10.1364/josaa.33.001298
published in Journal of the Optical Society of America A 33(7), 1298 (Optica Publishing Group)
arxiv created 2016/03/17 · openalex publication_date 2016/06/08 · arxiv updated 2016/06/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We present an open-geometry Fourier modal method based on a new combination of open boundary conditions and an efficient k-space discretization. The open boundary of the computational domain is obtained using basis functions that expand the whole space, and the integrals subsequently appearing due to the continuous nature of the radiation modes are handled using a discretization based on nonuniform sampling of the k space. We apply the method to a variety of photonic structures and demonstrate that our method leads to significantly improved convergence with respect to the number of degrees of freedom, which may pave the way for more accurate and efficient modeling of open nanophotonic structures.