Cui Zhiwei, Han Yiping, Xu Qiang
School of Science, Xidian University, Xi'an, Shaanxi, China.
J Opt Soc Am A Opt Image Sci Vis. 2011 Nov 1;28(11):2200-8. doi: 10.1364/JOSAA.28.002200.
In this paper, we present an efficient numerical method for the simulation of multiple scattering by random discrete particles illuminated by focused Gaussian beams with arbitrary incidence. Specifically, the Davis first-order approximation in combination with rotation Euler angles is used to represent the arbitrarily incident Gaussian beams. The surface integral equations are applied to formulate the scattering problems involving multiple discrete particles with a random distribution and are numerically discretized by the method of moments. The resultant matrix equation is solved by employing the characteristic basis function method based on the use of macrobasis functions constructed according to the Foldy-Lax multiple scattering equations. Since this method only requires the solution of small-size matrix equations associated with isolated particles and it is also readily parallelized, the computational burden can be significantly relieved. Some numerical results are included to illustrate the validity of the present method and to show the scattering behaviors of random discrete particles when they are illuminated by focused Gaussian beams.
在本文中，我们提出了一种高效的数值方法，用于模拟由任意入射角的聚焦高斯光束照射的随机离散粒子的多次散射。具体而言，结合旋转欧拉角的戴维斯一阶近似用于表示任意入射的高斯光束。应用表面积分方程来公式化涉及具有随机分布的多个离散粒子的散射问题，并通过矩量法进行数值离散化。基于根据福迪 - 拉克斯多次散射方程构造的宏基函数，采用特征基函数法求解所得的矩阵方程。由于该方法仅需要求解与孤立粒子相关的小尺寸矩阵方程，并且易于并行化，因此可以显著减轻计算负担。给出了一些数值结果，以说明本方法的有效性，并展示随机离散粒子在聚焦高斯光束照射下的散射行为。
