Light Scattering by Feldspar Particles: Modeling Laboratory Measurements 1 Department of Physics, University of Helsinki, Finland 2 Institute of Astronomy,

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Light Scattering by Feldspar Particles: Modeling Laboratory Measurements 1 Department of Physics, University of Helsinki, Finland 2 Institute of Astronomy, Kharkov National University, Ukraine 3 Finnish Geodetic Institute, Finland 4 Instituto de Astrofsica de Andaluca, CSIC, Spain 5 Science Systems and Applications, Inc., USA 6 US Army Research Laboratory, USA 7 Space Science Institute, USA Evgenij Zubko 1,2, Karri Muinonen 1,3, Olga Muoz 4, Timo Nousiainen 1, Yuriy Shkuratov 2, Wenbo Sun 5, and Gorden Videen 6,7 Slide 2 Laboratory measurements of single-scattering feldspar particles appear to be a huge challenge for modeling Data adapted from Volten et al. 2001: JGR 106, pp. 1737517401 Slide 3 Data adapted from Dubovik et al. 2006: JGR 111, D11208 Results of fitting feldspar at 0.442 m Slide 4 Data adapted from Dubovik et al. 2006: JGR 111, D11208 Results of fitting feldspar at 0.633 m Slide 5 from Dubovik et al. 2006: JGR 111, D11208 Unfortunately, the parameters were different for the different fits, and Simultaneous inversions of scattering matrices measured at two wavelengths (0.442 m and 0.633 m) were not successful in that a reasonably good fit was not achieved. The root-mean-square (over all elements) fit for a single wavelength was about 710%, while for two wavelengths the root-mean-square fit did not drop below 20%. Little difficulties in modeling Slide 6 from Dubovik et al. 2006: JGR 111, D11208 Besides, the best fits are obtained with a mixture of highly oblate and prolate spheroids. However, the feldspar particles look highly irregular with aspect ratio being somewhat about 1. Little difficulties in modeling Slide 7 Method: Discrete Dipole Approximation (DDA) Concept: Modeling target with set of small sub-volumes Advantage: Arbitrary shape and internal structure Modeling feldspar with agglomerated debris particles Slide 8 More details in, e.g., Zubko et al. 2009: JQSRT 110, pp. 17411749 Modeling feldspar with agglomerated debris particles Slide 9 Features of agglomerated debris particles: (1) Highly irregular (2) Equi-dimensional (3) Fluffy (packing density =0.236) Modeling feldspar with agglomerated debris particles Slide 10 Laboratory measurements of single-scattering feldspar particles Refractive index m is estimated to be in range m = 1.51.6 + 0.0010.00001 i Data adapted from Volten et al., 2001 SEM image of feldspar Size distribution is retrieved with the laser diffraction method Slide 11 SEM image of feldspar Modeling laboratory measurements of feldspar Refractive index: m = 1.5 + 0 i We consider the range of particle radii r from 0.21 m through 2.25 m at =0.442 m: x =332 at =0.633 m: x =2.122.3 Size distribution: r 2.9 For each size parameter x, we consider a minimum of 500 samples of agglomerated debris particles in random orientations. This makes our analysis being statistically reliable! Size parameter: x = 2 r/ Slide 12 Modeling laboratory measurements of feldspar at =0.442 m Slide 13 Modeling laboratory measurements of feldspar at =0.633 m Slide 14 We model light-scattering response measured in feldspar particles at two wavelengths 0.442 and 0.633 m. We utilize model of agglomerated debris particles and compute light scattering with the discrete dipole approximation (DDA). Measurements can be satisfactorily reproduced under realistic assumptions on size distribution and refractive index of feldspar particles. Unlike spheroidal model, agglomerated debris particles can fit measurements at both wavelengths. Summary