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

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Photometry

Scientific paper

Hapke's theory has been widely used to describe surface physical characteristics by modeling planetary surface reflectance variations with viewing geometry. Incorporated into Hapke's model is a function describing the scattering behavior of individual particles. The scattering of light by individual particles within a planetary regolith is a key aspect of any model that attempts to describe the photometric properties of a planetary surface. Early studies modeled regolith particles using Mie theory, which satisfactorily describes both transmitted (forward scattered) and reflected (back scattered) components of light from perfect spheres. However, the Mie theory is inadequate for describing the scattering behavior of particles with irregular shapes or internal scatterers. The double Henyey-Greenstein function can mathematically describe both components of scattered light by a range of particle shapes. There are two forms of the double Henyey-Greenstein function: the first has two independent parameters (excluding the phase angle) and assumes the width of the back and forward scattered components are equal, and another function with three independent parameters which allows the widths of the back and forward scattered components of the particle scattering function to vary. The objective of our study was to examine the difference in the quality of fit between the two double Henyey-Greenstein functions in describing single particle scattering behavior as used in Hapke's model. We specifically evaluated the difference in quality of fit between the two models and quantified the significance of that difference using rms values. The key to obtaining a unique solution to Hapke's model is to avoid adding unnecessary parameters to the model; this would constrain the types of data sets to which the model can be applied. Thus the goal is to minimize the number of parameters while still physically describing the surface being modeled. The approach we took was two-fold. The first part of our project was to examine the laboratory data of McGuire and Hapke and apply both double Henyey-Greenstein models and examine the quality of fit between the models and the data. The purpose of this part of the project was to determine if there is a significant difference in the quality of fit between the two double Henyey-Greenstein functions. The second part of our project involved applying Hapke's model to the terrestrial snow data to compare these snow particles with McGuire and Hapke's artificial particles for structural correlations. We then applied Hapke's model to disk-integrated phase curve measurements of the Galilean satellites and compared our single particle scattering function results with the artificial particle and snow particle results to attempt to describe the particle structures of the material comprising the regoliths of these satellites.

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