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Updated: May 16, 2026

Scattering And Absorption of Light in Planetary Regoliths
Published on: July 1, 2019
Concise formulation of the three-dimensional multiple-scattering theory
Laurent Oyhenart1, Valérie Vignéras
1IMS Laboratory, University of Bordeaux 1, 16 Avenue Pey-Berland, 33607 Pessac, France. laurent.oyhenart@ims‑bordeaux.fr
Abstract:
The scattering of an electromagnetic wave by a set of dielectric and metallic spheres is a well-known physical problem. We show a mathematical simplification of the multiple-scattering theory. In this paper, we will establish the multiple-scattering equation in two different ways. Through the study of the equation form, we can choose the simplest spherical wave expansion for calculations. Then, we propose concise expressions of the Mie scattering coefficients and translation coefficients for both polarizations. With these simplified expressions, large spheres are studied without loss of accuracy. Far-field expressions, cross-sections, and the scattering matrix are also simplified. Thus, we obtain formulas that can be easily understood from a physical point of view.
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