Olaof G O
Appl Opt. 1970 Feb 1;9(2):429-37. doi: 10.1364/AO.9.000429.
The Rayleigh-Gans approximation theory is applied to the problem of scattering by two neighboring spherical particles. For simplicity, we have examined in detail the case of two identical uniform spheres. Differential intensities for any arbitrary location of the particle pair relative to the incident wave, mean intensities, and mean scattering cross sections for randomly oriented particles are considered. The results show good agreement with the exact theory. Some numerical results are presented for the particular case of touching spheres (dumbbells), which are either at random, or are at specific, orientation relative to the direction of polarization of the incident wave. It is observed that for small spheres at random orientation, the scattering cross section is four times the value for that of a single sphere. This factor is two for large particles. We also observe that both the intensity and dissymmetry patterns for two spheres are totally different from the single particle ones.
瑞利 - 甘斯近似理论被应用于两个相邻球形粒子的散射问题。为简单起见，我们详细研究了两个相同均匀球体的情况。考虑了粒子对相对于入射波的任意位置的微分强度、平均强度以及随机取向粒子的平均散射截面。结果与精确理论显示出良好的一致性。针对接触球体（哑铃形）的特殊情况给出了一些数值结果，这些球体相对于入射波的偏振方向要么是随机取向，要么是特定取向。可以观察到，对于随机取向的小球体，散射截面是单个球体散射截面值的四倍。对于大粒子，这个因子是二。我们还观察到，两个球体的强度和不对称模式与单个粒子的模式完全不同。
