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Validity criteria of the discrete dipole approximation

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Title: Validity criteria of the discrete dipole approximation
Authors: Zubko, Evgenij Browse this author
Petrov, Dmitry Browse this author
Grynko, Yevgen Browse this author
Shkuratov, Yuriy Browse this author
Okamoto, Hajime Browse this author
Muinonen, Karri Browse this author
Nousiainen, Timo Browse this author
Kimura, Hiroshi Browse this author
Yamamoto, Tetsuo Browse this author →KAKEN DB
Videen, Gorden Browse this author
Issue Date: 10-Mar-2010
Publisher: Optical Society of America
Journal Title: Applied Optics
Volume: 49
Issue: 8
Start Page: 1267
End Page: 1279
Publisher DOI: 10.1364/AO.49.001267
Abstract: There are two widely accepted restrictions on the application of the discrete dipole approximation (DDA) in the study of light scattering by particles comparable to the wavelength: (1) when considering dielectric particles, the size of the cells must satisfy the condition kd|m| < 0.5, where k is the wave-number, d is the size of the cells, and m is the complex refractive index of the constituent material and (2) when considering conductive particles, the size of the cells must be small enough to reproduce sufficiently the evolution of the electromagnetic field in the skin layer. We examine both restrictions when the DDA is applied to irregularly shaped particles and show that its restrictions are not as strong as is widely accepted. For instance, when studying irregularly shaped particles averaged over orientations, even at kd|m| = 1, the DDA provides highly accurate numerical results. Moreover, we show that the impact of using large constituent cells is similar to that produced by surface roughness; therefore, the replacement of the target particle by an array of large constituent cells has the same effect, qualitatively, as incorporating additional small-scale surface roughness on the particle. Such a modification of the target particle can be desirable in many practical applications of DDA when irregularly shaped particles are considered. When applying DDA to conductive, nonspherical particles, the insufficient description of the electromagnetic field in the skin layer does not lead to a violation of the Maxwell equations, although it has a visible but nonmajor influence on the light-scattering properties of the target.
Rights: © 2010 Optical Society of America
Type: article
Appears in Collections:低温科学研究所 (Institute of Low Temperature Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)

Submitter: 山本 哲生

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