A numerical method for the solution of time-harmonic Maxwell equations for two-dimensional scatterers

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

Research output: Book/ReportReportAcademic

2 Citations (Scopus)

Abstract

The Fourier modal method (FMM) is a method for efficiently solving Maxwell equations with periodic boundary conditions. In a recent paper [1] the extension of the FMM to non-periodic structures has been demonstrated for a simple two-dimensional rectangular scatterer illuminated by TE-polarized light with a wavevector normal to the third (invariant) dimension. In this paper we present a generalized version of the aperiodic Fourier modal method in contrast-field formulation (aFMM-CFF) which allows arbitrary profiles of the scatterer as well as arbitrary angles of incidence of light. Keywords: Fourier modal method, FMM, aperiodic, aFMM-CFF, perfectly matched layer, PML.
LanguageEnglish
Place of PublicationEindhoven
PublisherTechnische Universiteit Eindhoven
Number of pages4
StatePublished - 2010

Publication series

NameCASA-report
Volume1047
ISSN (Print)0926-4507

Fingerprint

perfectly matched layers
Maxwell equation
harmonics
formulations
scattering
polarized light
incidence
boundary conditions
profiles

Cite this

Pisarenco, M., Maubach, J. M. L., Setija, I. D., & Mattheij, R. M. M. (2010). A numerical method for the solution of time-harmonic Maxwell equations for two-dimensional scatterers. (CASA-report; Vol. 1047). Eindhoven: Technische Universiteit Eindhoven.
Pisarenco, M. ; Maubach, J.M.L. ; Setija, I.D. ; Mattheij, R.M.M./ A numerical method for the solution of time-harmonic Maxwell equations for two-dimensional scatterers. Eindhoven : Technische Universiteit Eindhoven, 2010. 4 p. (CASA-report).
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Pisarenco, M, Maubach, JML, Setija, ID & Mattheij, RMM 2010, A numerical method for the solution of time-harmonic Maxwell equations for two-dimensional scatterers. CASA-report, vol. 1047, Technische Universiteit Eindhoven, Eindhoven.

A numerical method for the solution of time-harmonic Maxwell equations for two-dimensional scatterers. / Pisarenco, M.; Maubach, J.M.L.; Setija, I.D.; Mattheij, R.M.M.

Eindhoven : Technische Universiteit Eindhoven, 2010. 4 p. (CASA-report; Vol. 1047).

Research output: Book/ReportReportAcademic

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T1 - A numerical method for the solution of time-harmonic Maxwell equations for two-dimensional scatterers

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AU - Setija,I.D.

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AB - The Fourier modal method (FMM) is a method for efficiently solving Maxwell equations with periodic boundary conditions. In a recent paper [1] the extension of the FMM to non-periodic structures has been demonstrated for a simple two-dimensional rectangular scatterer illuminated by TE-polarized light with a wavevector normal to the third (invariant) dimension. In this paper we present a generalized version of the aperiodic Fourier modal method in contrast-field formulation (aFMM-CFF) which allows arbitrary profiles of the scatterer as well as arbitrary angles of incidence of light. Keywords: Fourier modal method, FMM, aperiodic, aFMM-CFF, perfectly matched layer, PML.

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Pisarenco M, Maubach JML, Setija ID, Mattheij RMM. A numerical method for the solution of time-harmonic Maxwell equations for two-dimensional scatterers. Eindhoven: Technische Universiteit Eindhoven, 2010. 4 p. (CASA-report).