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arXiv · 0704.0035

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

Maxim A. Yurkin·Valeri P. Maltsev·Alfons G. Hoekstra
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Abstract

We propose an extrapolation technique that allows accuracy improvement of the discrete dipole approximation computations. The performance of this technique was studied empirically based on extensive simulations for 5 test cases using many different discretizations. The quality of the extrapolation improves with refining discretization reaching extraordinary performance especially for cubically shaped particles. A two order of magnitude decrease of error was demonstrated. We also propose estimates of the extrapolation error, which were proven to be reliable. Finally we propose a simple method to directly separate shape and discretization errors and illustrated this for one test case.

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Maxim A. Yurkin, Valeri P. Maltsev, Alfons G. Hoekstra. 2007-03-31. Convergence of the discrete dipole approximation. II. An extrapolation technique to increase the accuracy. https://doi.org/10.1364/josaa.23.002592

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