Experimental determination of the Hapke parameters for planetary regolith surface analogs

Statistics – Methodology

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Scientific paper

The semi-empirical model developed by Hapke is widely used to analyze reflectance data from planetary surfaces. It requires the knowledge of six parameters to calculate the bidirectional reflectance. Its application relies on some physical quantities characterizing the optical properties of the materials under examination: the phase function, the opposition effect, and the roughness. This study presents a method, based on a genetic algorithm, for a determination of the global set of parameters involved in Hapke's model for planetary surface analogs when considering a set of angular conditions representative of the usual range from spaceborne observation in planetary exploration. The results, consistent with the literature, validate all the steps in our methodology, including experimental measurements, the derivation of photometric quantities by means of Hapke's model and the genetic algorithm adapted to the problem. We focus on the physical meaning of the shadowing function parameter and confirm by new laboratory observations on natural surfaces that the mean topographic slope angle is an integral of the mesoscale and microscale roughness properties in the submillimetric - centimetric range. We also study the potential spectral dependence of each parameter and show that the implicit assumption that Hapke's parameters are constant with wavelength is not totally valid. Our findings highlight the need for an improved theoretical model for describing the real case of natural regolithic surfaces, including regolith powders, in preparation for upcoming remote sensing data to be acquired at high spatial resolution and/or under varied geometries (Mars Express, SMART1, LUNAR-A).

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