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.

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

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.",

author = "M. Pisarenco and J.M.L. Maubach and I.D. Setija and R.M.M. Mattheij",

T1 - The aperiodic Fourier modal method in contrast-field formulation for simulation of scattering from finite structures

AU - Pisarenco, M.

AU - Maubach, J.M.L.

AU - Setija, I.D.

AU - Mattheij, R.M.M.

PY - 2010

Y1 - 2010

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.

M3 - Report

T3 - CASA-report

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