This paper addresses the task of obtaining the far-field spectrum for a finite structure given the near-field calculated by the aperiodic Fourier modal method in contrast-field formulation (AFMM-CFF). The AFMM-CFF efficiently calculates the solution to Maxwell’s equations for a finite structure by truncating the computational domain with perfectly matched layers (PMLs). However, this limits the far-field solution to a narrow strip between the PMLs. The Green’s function for layered media is used to extend the solution over the whole super- and substrate. The approach is validated by applying it to the problem of scattering from a cylinder for which the analytical solution is available. Moreover, a numerical study is conducted on the accuracy of the approximate far-field computed with the super-cell Fourier modal method by using the AFMM-CFF with near- to far-field transformation as a reference.
© 2013 Optical Society of America
Original Manuscript: July 17, 2013
Revised Manuscript: August 22, 2013
Manuscript Accepted: August 29, 2013
Published: October 1, 2013
Ronald Rook, Maxim Pisarenco, and Irwan D. Setija, "Near- to far-field transformation in the aperiodic Fourier modal method," Appl. Opt. 52, 6962-6968 (2013)