Scattering of Light by Individual Particles and the Implications for Models of Planetary Surfaces

Statistics – Applications

Scientific paper

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Scientific paper

This project examined the role of the single scattering function and placed constraints on which scattering functions are most appropriate for particular applications of Hapke's model (1986, Icarus 67, 264-280). We demonstrate that for disk-integrated observations with less than 130 deg solar phase angle coverage, the two parameter double Henyey-Greenstein function is the better choice for single scattering function than other empirical functions presented in this paper. We show similar findings for modeling disk-resolved photometric observations. In order to deduce information on the structural characteristics of regolith particles information is needed in the forward scattered direction (alpha >= 120 deg). The higher the phase angle coverage, the better constrained are the inferred particle structural properties. Values of the other Hapke parameters (outside of the opposition parameters) are highly affected by the choice of single particle scattering function. For the comprehensive range of particle types in McGuire and Hapke's (1995, Icarus, 113, 134-155) data, the correlation between single scattering albedo and the single scattering parameters is not simple, and only general predictions of the value of one based on the others can be made. Using Mishchenko's (1994, J. Quant. Spectrosc. Radiat. Trans. 52, 95-110) structure factor we calculate a correction factor to the scattering function due to dense packing, as would be seen in planetary regoliths.

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