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Updated: Jun 15, 2026

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Published on: May 27, 2020
Validity criteria of the discrete dipole approximation
Evgenij Zubko1, Dmitry Petrov, Yevgen Grynko
1Graduate School of Science, Tohoku University, Aoba, Aramakiaza, Aoba-ku, Sendai 980-8578, Japan. ezubko@rambler.ru
The discrete dipole approximation (DDA) has less strict size restrictions for studying light scattering from irregularly shaped particles than previously thought. These findings expand DDA
Area of Science:
- Computational physics
- Optics
- Materials science
Background:
- The discrete dipole approximation (DDA) is widely used for light scattering simulations.
- Existing DDA applications face restrictions on cell size for dielectric and conductive particles.
Purpose of the Study:
- To re-evaluate the accepted restrictions on DDA cell size for irregularly shaped particles.
- To investigate the impact of larger cell sizes on DDA accuracy for dielectric and conductive particles.
Main Methods:
- Numerical simulations applying DDA to irregularly shaped particles.
- Analysis of DDA accuracy under varying cell sizes and particle properties.
- Comparison of DDA results with theoretical expectations for electromagnetic field evolution.
Main Results:
- DDA provides accurate results for irregularly shaped particles even at kd|m|=1.
- Using larger cells in DDA can mimic the effect of surface roughness.
- Inaccurate skin layer description for conductive particles has a minor impact on scattering properties.
Conclusions:
- DDA restrictions are less stringent for irregularly shaped particles than commonly accepted.
- The DDA can be applied more broadly, especially for modeling surface roughness effects.
- Maxwell's equations are not violated, and scattering properties are only slightly affected by skin layer approximations.
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