A study of the scattering properties of an ensemble of rectangular prisms of different composition, size distribution and aspect ratios: a possible application to cometary dust grains?

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We have approached the scattering properties of cometary dust using size and shape distributions of non-spherical randomly oriented compact particles having non-homogeneous composition. In our model we have used inhomogeneous rectangular prisms in which the aspect ratio between the main axes and the index of the power law size distribution are varied. Two different compositions have been considered. The first one is silicate with carbon inclusions mixed with dirty ice, while the second one is silicate with carbon inclusions. We have obtained that both the width and the depth of the negative polarization branch have a clear dependence on the aspect ratio of the rectangular prisms and the composition. The best fits to the linear polarization curve of cometary grains have been obtained by a non constant distribution of rectangular prisms of the second composition where the elongate-shaped prisms prevail. Moreover, although the irregularity is not accurately represented by this type of distribution, curiously, its usage has shown that the scattering matrix element F34/F11 is very sensitive to the aspect ratio of the particles constituting the synthetic sample.

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