Modified S-matrix algorithm for the aperiodic Fourier modal method in contrast-field formulation

Autor:	Irwan Dani Setija, R.M.M. Mattheij, Joseph M. Maubach, Maxim Pisarenco
Přispěvatelé:	Scientific Computing, Mathematics and Computer Science, Control Systems
Jazyk:	angličtina
Rok vydání:	2011
Předmět:	Recursion Linear system Atomic and Molecular Physics and Optics Electronic Optical and Magnetic Materials Magnetic field symbols.namesake Fourier transform Maxwell's equations Aperiodic graph symbols Periodic boundary conditions Computer Vision and Pattern Recognition Algorithm S-matrix Mathematics
Zdroj:	Journal of the Optical Society of America A, Optics, Image Science and Vision, 28(7), 1364-1371. Optical Society of America (OSA)
ISSN:	1520-8532 1084-7529
Popis:	The Fourier modal method (FMM) is a method for efficiently solving Maxwell’s equations with periodic boundary conditions. In order to apply the FMM to nonperiodic structures, perfectly matched layers need to be placed at the periodic boundaries, and the Maxwell equations have to be formulated in terms of a contrast (scattered) field. This reformulation modifies the structure of the resulting linear systems and makes the direct application of available stable recursion algorithms impossible. We adapt the well-known S-matrix algorithm for use with the aperiodic FMM in contrast-field formulation. To this end, stable recursive relations are derived for linear systems with nonhomogeneous structure. The stability of the algorithm is confirmed by numerical results.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b1a849e5b2f42441b53956c353143a34 https://research.tue.nl/en/publications/81aa94a2-8ca5-402e-8359-c305a66e2282 Zobrazit plný text záznamu