Mathematics – Logic
Scientific paper
Jan 1979
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979icar...37...29t&link_type=abstract
Icarus, vol. 37, Jan. 1979, p. 29-45.
Mathematics
Logic
3
Electromagnetic Scattering, Lunar Maria, Lunar Photography, Lunar Surface, Radar Scattering, Specular Reflection, Frequency Response, Lunar Craters, Photogrammetry, Power Spectra, Steady State, Surface, Lunar, Comparisons, Imagery, Radar, Maria, Scattering, Moon, Wavelengths, Highlands, Models, Craters, Spectrum, Size Frequency Distribution, Roughness
Scientific paper
Quasi-specular radar data used to determine apparent surface roughness of geologic surfaces displays a variable wavelength dependence. The strongest changes with wavelength are observed in lunar maria, while scatter from lunar highlands is nearly wavelength independent. Commonly used, gently undulating surface models for electromagnetic scatter predict no wavelength dependence. Wavelength dependence occurs whenever a significant fraction of the surface has local radii of curvature comparable to the observing wavelength. This condition can be determined by comparison of the value of the integrated surface curvature spectrum with the radar wave number, multiplied by a constant that depends on the geometry. Variations in curvature statistics calculated from photogrammetric reduction of lunar images are consistent with the observed variations in quasi-specular scatter between wavelengths of 13 and 116 cm at the same locations. Variations in the strength of the wavelength dependence are correlated with the sizes of lunar craters that lie near the upper size limit for the local steady-state distribution. This correlation is also consistent with variations in the curvature spectrum calculated from crater size-frequency distributions.
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