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

M. Pisarenco, J.M.L. Maubach, I.D. Setija, R.M.M. Mattheij

Research output: Book/ReportReportAcademic

17 Citations (Scopus)
111 Downloads (Pure)

Abstract

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 non-periodic 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 Fourier modal method in contrast field formulation (aFMM-CFF). To this end, stable recursive relations are derived for linear systems with non-homogeneous structure. The stability of the algorithm is confirmed by numerical results.
Original languageEnglish
Place of PublicationEindhoven
PublisherTechnische Universiteit Eindhoven
Number of pages17
Publication statusPublished - 2011

Publication series

NameCASA-report
Volume1139
ISSN (Print)0926-4507

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