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.

Name | CASA-report |
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Volume | 1036 |
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ISSN (Print) | 0926-4507 |
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