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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. 23, Iss. 10 — Oct. 1, 2006
  • pp: 2592–2601

Convergence of the discrete dipole approximation. II. An extrapolation technique to increase the accuracy

Maxim A. Yurkin, Valeri P. Maltsev, and Alfons G. Hoekstra  »View Author Affiliations


JOSA A, Vol. 23, Issue 10, pp. 2592-2601 (2006)
http://dx.doi.org/10.1364/JOSAA.23.002592


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Abstract

We propose an extrapolation technique that allows accuracy improvement of discrete dipole approximation computations. The performance of this technique was studied empirically on the basis of extensive simulations for five test cases using many different discretizations. The quality of the extrapolation improves with refining discretization, reaching extraordinary performance especially for cubically shaped particles. A 2-order-of-magnitude decrease of error is demonstrated. We also propose estimates of the extrapolation error, which are proven to be reliable. Finally, we propose a simple method to directly separate shape and discretization errors and illustrate this for one test case.

© 2006 Optical Society of America

OCIS Codes
(000.4430) General : Numerical approximation and analysis
(260.2110) Physical optics : Electromagnetic optics
(290.5850) Scattering : Scattering, particles

ToC Category:
Scattering

History
Original Manuscript: January 23, 2006
Manuscript Accepted: April 18, 2006

Citation
Maxim A. Yurkin, Valeri P. Maltsev, and Alfons G. Hoekstra, "Convergence of the discrete dipole approximation. II. An extrapolation technique to increase the accuracy," J. Opt. Soc. Am. A 23, 2592-2601 (2006)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-23-10-2592


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