Application of the discrete dipole approximation to very large refractive indices: Filtered coupled dipoles revived

Maxim A. Yurkin, Michiel Min, and Alfons G. Hoekstra
Phys. Rev. E 82, 036703 – Published 27 September 2010

Abstract

We compared three formulations of the discrete dipole approximation (DDA) for simulation of light scattering by particles with refractive indices m=10+10i, 0.1+i, and 1.6+0.01i. These formulations include the filtered coupled dipoles (FCD), the lattice dispersion relation (LDR) and the radiative reaction correction. We compared the number of iterations required for the convergence of the iterative solver (proportional to simulation time) and the accuracy of final results. We showed that the LDR performance for m=10+10i is especially bad, while the FCD is a good option for all cases studied. Moreover, we analyzed the detailed structure of DDA errors and the spectrum of the DDA interaction matrix to understand the performance of the FCD. In particular, this spectrum, obtained with the FCD for particles smaller than the wavelength, falls into the bounds, physically implied for the spectrum of the infinite-dimensional integral scattering operator, contrary to two other DDA formulations. Finally, such extreme refractive indices can now be routinely simulated using modern desktop computers using the publicly available ADDA code, which includes an efficient implementation of the FCD.

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  • Received 31 May 2010

DOI:https://doi.org/10.1103/PhysRevE.82.036703

©2010 American Physical Society

Authors & Affiliations

Maxim A. Yurkin1,2,*, Michiel Min3, and Alfons G. Hoekstra4

  • 1Institute of Chemical Kinetics and Combustion, Institutskaya 3, Novosibirsk 630090, Russia
  • 2Novosibirsk State University, Pirogova 2, Novosibirsk 630090, Russia
  • 3Astronomical Institute Utrecht, Princetonplein 5, 3584 CC Utrecht, The Netherlands
  • 4Computational Science Research Group, Faculty of Science, University of Amsterdam, Science Park 107, 1098 XG Amsterdam, The Netherlands

  • *Corresponding author; yurkin@gmail.com

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Vol. 82, Iss. 3 — September 2010

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