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

## TL;DR

This paper introduces an extrapolation method to enhance the accuracy of discrete dipole approximation calculations, demonstrating significant error reduction and reliable error estimates through extensive simulations.

## Contribution

It presents a novel extrapolation technique for DDA accuracy improvement, validated by empirical simulations and error estimation methods.

## Key findings

- Error decreased by two orders of magnitude.
- Extrapolation quality improves with finer discretization.
- Reliable estimates of extrapolation error were developed.

## 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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Source: https://tomesphere.com/paper/0704.0035