Cui Zhiwei, Han Yiping, Ai Xia
J Opt Soc Am A Opt Image Sci Vis. 2013 Nov 1;30(11):2320-7. doi: 10.1364/JOSAA.30.002320.
In this paper, we introduce an efficient numerical method to characterize the multiple scattering by random discrete particles illuminated by Bessel beams with arbitrary incidence. Specifically, the vector expressions of Bessel beams that perfectly satisfy Maxwell's equations in combination with rotation Euler angles are used to represent the arbitrarily incident Bessel beams. A hybrid vector finite element-boundary integral-characteristic-basis function method is utilized to formulate the scattering problems involving multiple discrete particles with a random distribution. Due to the flexibility of the finite element method, the adopted method can conveniently deal with the problems of multiple scattering by randomly distributed homogeneous particles, inhomogeneous particles, and anisotropic particles. Some numerical results are included to illustrate the validity and capability of the proposed method and to show the scattering behaviors of random discrete particles when they are illuminated by Bessel beams.
在本文中，我们介绍了一种有效的数值方法，用于表征由任意入射的贝塞尔光束照射的随机离散粒子的多重散射。具体而言，结合旋转欧拉角，使用完全满足麦克斯韦方程组的贝塞尔光束的矢量表达式来表示任意入射的贝塞尔光束。利用混合矢量有限元-边界积分-特征基函数方法来求解涉及多个随机分布离散粒子的散射问题。由于有限元方法的灵活性，所采用的方法能够方便地处理由随机分布的均匀粒子、非均匀粒子和各向异性粒子引起的多重散射问题。文中给出了一些数值结果，以说明所提方法的有效性和能力，并展示随机离散粒子在贝塞尔光束照射下的散射行为。
