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.
|Place of Publication||Eindhoven|
|Publisher||Technische Universiteit Eindhoven|
|Number of pages||18|
|Publication status||Published - 2010|
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.