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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: Stephen A. Burns
  • Vol. 25, Iss. 11 — Nov. 1, 2008
  • pp: 2693–2703

Discrete-dipole approximation for periodic targets: theory and tests

Bruce T. Draine and Piotr J. Flatau  »View Author Affiliations


JOSA A, Vol. 25, Issue 11, pp. 2693-2703 (2008)
http://dx.doi.org/10.1364/JOSAA.25.002693


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Abstract

The discrete-dipole approximation (DDA) is a powerful method for calculating absorption and scattering by targets that have sizes smaller than or comparable to the wavelength of the incident radiation. The DDA can be extended to targets that are singly or doubly periodic. We generalize the scattering amplitude matrix and the 4 × 4 Mueller matrix to describe scattering by singly and doubly periodic targets and show how these matrices can be calculated using the DDA. The accuracy of DDA calculations using the open-source code DDSCAT is demonstrated by comparison with exact results for infinite cylinders and infinite slabs. A method for using the DDA solution to obtain fields within and near the target is presented, with results shown for infinite slabs.

© 2008 Optical Society of America

OCIS Codes
(260.0260) Physical optics : Physical optics
(050.1755) Diffraction and gratings : Computational electromagnetic methods
(050.5298) Diffraction and gratings : Photonic crystals
(290.5825) Scattering : Scattering theory

ToC Category:
Diffraction and Gratings

History
Original Manuscript: June 24, 2008
Manuscript Accepted: August 19, 2008
Published: October 14, 2008

Citation
Bruce T. Draine and Piotr J. Flatau, "Discrete-dipole approximation for periodic targets: theory and tests," J. Opt. Soc. Am. A 25, 2693-2703 (2008)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-25-11-2693

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