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Comparison of Numerical Studies Characterizing Optical Properties of Soot Aggregates for Improved EXSCA Measurements
Author(s) -
VanHulle Pascal,
Weill MarcEmmanuel,
Talbaut Martine,
Coppalle Alexis
Publication year - 2002
Publication title -
particle and particle systems characterization
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.877
H-Index - 56
eISSN - 1521-4117
pISSN - 0934-0866
DOI - 10.1002/1521-4117(200204)19:1<47::aid-ppsc47>3.0.co;2-w
Subject(s) - discrete dipole approximation , extinction (optical mineralogy) , scattering , rayleigh scattering , physics , molar absorptivity , absorption (acoustics) , computational physics , light scattering , molecular physics , chemistry , optics
In order to compare EXSCA measurements with light‐scattering calculations, numerical studies characterizing the optical properties of soot aggregates were compared by using different approaches: [1] the Rayleigh‐Debye‐Gans theory for the fractal aggregate model (RDG‐FA), studied by Faeth and Köylü , [2] the rigorous solution model (RS) proposed by Xu , and [3] the discrete dipole approximation model (DDA), developed by Draine and Flatau. The extinction, absorption and scattering cross‐sections, C $\rm{ {_{e}^{a}}}$ , C $\rm{ {_{a}^{a}}}$ and C $\rm{ {_{s}^{a}}}$ , and matrix scattering coefficients, |S 1 | 2 , |S 2 | 2 , |S 3 | 2 and |S 4 | 2 , were studied, emphasizing the extinction coefficient C $\rm{ {_{c}^{a}}}$ and the scattering coefficient |S 1 (90°)| 2 . First, these coefficients for a panel of six aggregates with 64 or 128 primary spheres were compared using the three models. For the absorption and extinction cross‐sections, the results are close and RDG‐FA may be adequate to determine these parameters. For the total scattering cross‐section, the DDA model is close to RS whereas the RDG‐FA model shows limitations with strong relative differences. For the scattering coefficients, we focused on |S 1 | 2 and |S 2 | 2 , |S 3 | 2 and |S 4 | 2 being negligible. For the 64‐sphere aggregates, the relative differences between DDA and RDG‐FA are generally great and higher for RDA‐FA than for DDA. These deviations are especially significant for backscattering. If, on the contrary, we focus on |S 1 (90°)| 2 , all of the models give a good prediction. To complete this study, computation times for DDA and RS are indicated and cross‐section distributions for a panel of 28 aggregates obtained using RDG‐FA and DDA are presented.