On Hapke photometric model predictions on reflectance of closely packed particulate surfaces

Hao Zhang, Kenneth J. Voss

Research output: Contribution to journalArticlepeer-review

12 Scopus citations


In a recent paper Hapke et al. (Hapke, B., Shepard, M., Nelson, R., Smythe, W., Piatek, J. [2009]. Icarus 199, 210-218) performed bi-directional reflectance measurements on closely-packed particulate surfaces of micrometer-sized particles and compared these with both the Hapke IMSA photometric model, and a numerical radiative transfer algorithm, the MDYZ (Mishchenko, M., Dlugach, J., Yanovitskij, E., Zakharova, N. [1999a]. J. Quant. Spectrosc. Radiat. Trans. 63, 409-432). To account for the effects of close packing, Hapke et al. applied a diffraction truncation scheme to remove the diffraction spike and supplied the renormalized single scattering phase function to the IMSA. They found that the IMSA prediction is a better match with measurement than that of MDYZ. In this work we demonstrate that the diffraction truncation procedure outlined by Hapke et al. contains an error. By following Hapke et al.'s intended truncation scheme, we have found that the IMSA model is not sufficiently anisotropic to describe the reflectance pattern. of measurements on surface reflectance of closely packed large spherical particles.

Original languageEnglish (US)
Pages (from-to)27-33
Number of pages7
Issue number1
StatePublished - Sep 2011


  • Spectroscopy

ASJC Scopus subject areas

  • Astronomy and Astrophysics
  • Space and Planetary Science


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