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 that does not contain the incoming field. As a result of 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.
© 2010 Optical Society of America
Diffraction and Gratings
Original Manuscript: June 10, 2010
Revised Manuscript: September 1, 2010
Manuscript Accepted: September 2, 2010
Published: October 20, 2010
Maxim Pisarenco, Joseph Maubach, Irwan Setija, and Robert Mattheij, "Aperiodic Fourier modal method in contrast-field formulation for simulation of scattering from finite structures," J. Opt. Soc. Am. A 27, 2423-2431 (2010)