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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Editor: Franco Gori
  • Vol. 27, Iss. 11 — Nov. 1, 2010
  • pp: 2423–2431

Aperiodic Fourier modal method in contrast-field formulation for simulation of scattering from finite structures

Maxim Pisarenco, Joseph Maubach, Irwan Setija, and Robert Mattheij  »View Author Affiliations


JOSA A, Vol. 27, Issue 11, pp. 2423-2431 (2010)
http://dx.doi.org/10.1364/JOSAA.27.002423


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Abstract

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

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

ToC Category:
Diffraction and Gratings

History
Original Manuscript: June 10, 2010
Revised Manuscript: September 1, 2010
Manuscript Accepted: September 2, 2010
Published: October 20, 2010

Citation
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)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-27-11-2423

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