Oyhenart Laurent, Vignéras Valérie
IMS Laboratory, University of Bordeaux 1, 16 Avenue Pey-Berland, 33607 Pessac, France. laurent.oyhenart@ims‑bordeaux.fr
J Opt Soc Am A Opt Image Sci Vis. 2012 Aug 1;29(8):1588-96. doi: 10.1364/JOSAA.29.001588.
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.
一组电介质和金属球对电磁波的散射是一个著名的物理问题。我们展示了多重散射理论的一种数学简化。在本文中，我们将通过两种不同的方式建立多重散射方程。通过对方程形式的研究，我们可以选择最简单的球面波展开进行计算。然后，我们给出了两种极化情况下米氏散射系数和平移系数的简洁表达式。利用这些简化表达式，在不损失精度的情况下对大球体进行了研究。远场表达式、截面和散射矩阵也得到了简化。因此，我们得到了从物理角度易于理解的公式。
