The aperiodic Fourier modal method in contrast-field formulation for simulation of scattering from finite structures

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

Research output: Book/ReportReportAcademic

21 Citations (Scopus)

Abstract

This paper extends the area of application of the Fourier modal method (FMM) from periodic structures to aperiodic ones, in particular for plane-wave illumination at arbitrary angles. This is achieved by placing perfectly matched layers at the lateral sides of the computational domain and reformulating the governing equations in terms of a contrast field which does not contain the incoming field. Due to the reformulation, the homogeneous system of second-order ordinary differential equations from the original FMM becomes non-homogeneous. Its solution is derived analytically and used in the established FMM framework. The technique is demonstrated on a simple problem of planar scattering of TE-polarized light by a single rectangular line.
LanguageEnglish
Place of PublicationEindhoven
PublisherTechnische Universiteit Eindhoven
Number of pages18
StatePublished - 2010

Publication series

NameCASA-report
Volume1036
ISSN (Print)0926-4507

Fingerprint

perfectly matched layers
polarized light
plane waves
differential equations
illumination
formulations
scattering
simulation

Cite this

Pisarenco, M., Maubach, J. M. L., Setija, I. D., & Mattheij, R. M. M. (2010). The aperiodic Fourier modal method in contrast-field formulation for simulation of scattering from finite structures. (CASA-report; Vol. 1036). Eindhoven: Technische Universiteit Eindhoven.
Pisarenco, M. ; Maubach, J.M.L. ; Setija, I.D. ; Mattheij, R.M.M./ The aperiodic Fourier modal method in contrast-field formulation for simulation of scattering from finite structures. Eindhoven : Technische Universiteit Eindhoven, 2010. 18 p. (CASA-report).
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Pisarenco, M, Maubach, JML, Setija, ID & Mattheij, RMM 2010, The aperiodic Fourier modal method in contrast-field formulation for simulation of scattering from finite structures. CASA-report, vol. 1036, Technische Universiteit Eindhoven, Eindhoven.

The aperiodic Fourier modal method in contrast-field formulation for simulation of scattering from finite structures. / Pisarenco, M.; Maubach, J.M.L.; Setija, I.D.; Mattheij, R.M.M.

Eindhoven : Technische Universiteit Eindhoven, 2010. 18 p. (CASA-report; Vol. 1036).

Research output: Book/ReportReportAcademic

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AU - Setija,I.D.

AU - Mattheij,R.M.M.

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N2 - This paper extends the area of application of the Fourier modal method (FMM) from periodic structures to aperiodic ones, in particular for plane-wave illumination at arbitrary angles. This is achieved by placing perfectly matched layers at the lateral sides of the computational domain and reformulating the governing equations in terms of a contrast field which does not contain the incoming field. Due to the reformulation, the homogeneous system of second-order ordinary differential equations from the original FMM becomes non-homogeneous. Its solution is derived analytically and used in the established FMM framework. The technique is demonstrated on a simple problem of planar scattering of TE-polarized light by a single rectangular line.

AB - This paper extends the area of application of the Fourier modal method (FMM) from periodic structures to aperiodic ones, in particular for plane-wave illumination at arbitrary angles. This is achieved by placing perfectly matched layers at the lateral sides of the computational domain and reformulating the governing equations in terms of a contrast field which does not contain the incoming field. Due to the reformulation, the homogeneous system of second-order ordinary differential equations from the original FMM becomes non-homogeneous. Its solution is derived analytically and used in the established FMM framework. The technique is demonstrated on a simple problem of planar scattering of TE-polarized light by a single rectangular line.

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Pisarenco M, Maubach JML, Setija ID, Mattheij RMM. The aperiodic Fourier modal method in contrast-field formulation for simulation of scattering from finite structures. Eindhoven: Technische Universiteit Eindhoven, 2010. 18 p. (CASA-report).