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Updated: Apr 12, 2026

Scattering And Absorption of Light in Planetary Regoliths
Published on: July 1, 2019
Acoustic Rayleigh scattering in water-saturated granular medium with quasicrystalline approximation
Keunhwa Lee1, Haesang Yang2, Woojae Seong2
1Department of Defense Systems Engineering, Sejong University, Seoul 143-747, South Korea nasalkh2@sejong.ac.kr.
Abstract:
A closed-form solution for the effective wavenumber in a water-saturated medium as a function of the Rayleigh parameter is derived up to the second leading terms in the real part and first leading term in the imaginary part. This is based on the Waterman multiple scattering formulation with the quasicrystalline approximation (QCA) and the Percus-Yevick pair-correlation function. The formula's resultant sound speed and attenuation are compared to the regression relation matching the measurements in the Rayleigh scattering region [Kimura, J. Acoust. Soc. Am. 129(6), 3544-3561 (2011)]. The sound speeds are comparable. However, for the attenuation, it is shown that the QCA result underestimates the measured attenuation while its behavior exhibits similar frequency dependency of f(4).
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