球形粒子对平面偏振光散射的数值计算与分析

论文在Mie理论基础上,给出了球形粒子对平面偏振光的散射强度和散射系数公式,利用连分式递推算法进行了编程计算,重点对1.06μm激光的模拟结果进行了分析.从得到的散射图像可以看出,散射强度角分布与散射粒子尺度有密切关系,随着粒子尺度的逐渐增大,散射光强主要集中到前、后向散射方向,集中的角度越来越窄,模拟结果明显出现了散射强度最弱的极值角,且该极值角随粒径的增大而增大,最后逼近90°方向.散射强度角分布与波长有关,当它们在同一数量级时达到最大值,与散射粒子折射率无关.该递推算法因为每一步计算都是独立的,与前后项的准确性没有关系,不存在不稳定、发散等情况,能够计算粒径参数范围从10-4开始,对上限不受任何限制.

Numerical Calculation and Analysis on Plane Polarized Light Scattering by Spheral Particles

This paper presented formula to calculate the scattering intensity and scattering coefficients of plane polarized light based on Mie theory. The results were calculated using link recursion algorithm. Intensive analysis on the simulation result of 1.06 μm laser was made. The scattering diagrams indicate a close link between the scattering intensity distribution with angle and particle size. As the particle size increases, scattering intensity mainly focuses on the forward and backward directions, and the distribution angle decreases accordingly. The simulation results also indicate an extremum angle where the scattering intensity is the weakest. The extremum angle increases with the increase of particle size, approximating to 90° at last. The scattering intensity distribution with angle is related to wavelength. When they are in the same scale, the scattering intensity reaches its maximum. The scattering intensity has no relation to particle refractive index. The recursion algorithm used in the paper is simple and efficient. Because each step is independent with each other, there are no problems of instability or inconvergence. The minimal particle size is 10-4, and the maximum particle size is unlimited.