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.
© 2012 Optical Society of America
Original Manuscript: May 7, 2012
Revised Manuscript: June 22, 2012
Manuscript Accepted: June 25, 2012
Published: July 19, 2012
Vol. 7, Iss. 10 Virtual Journal for Biomedical Optics
Laurent Oyhenart and Valérie Vignéras, "Concise formulation of the three-dimensional multiple-scattering theory," J. Opt. Soc. Am. A 29, 1588-1596 (2012)