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Applied Optics

Applied Optics


  • Editor: Joseph N. Mait
  • Vol. 52, Iss. 28 — Oct. 1, 2013
  • pp: 6962–6968

Near- to far-field transformation in the aperiodic Fourier modal method

Ronald Rook, Maxim Pisarenco, and Irwan D. Setija  »View Author Affiliations

Applied Optics, Vol. 52, Issue 28, pp. 6962-6968 (2013)

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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

OCIS Codes
(000.4430) General : Numerical approximation and analysis
(050.1755) Diffraction and gratings : Computational electromagnetic methods
(290.2558) Scattering : Forward scattering

ToC Category:

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)

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