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摘要对散射相函数的基本理论进行了概述，对诸如线性解法，HG函数，Dd函数等相函数的基本解法进行了简单的介绍。针对所用到的球形颗粒的 Mie 散射进行了概述。介绍了球形颗粒散射相函数可能有的影响因素。分析了尺度参数为0.01,1,2,5,10 时，散射相函数随散射角的变化，并从整体上表现了尺度参数的变化对球形颗粒散射相函数的影响，当尺度参数较小时，前后向能量分布相等，随着尺度参数的增大，能量逐渐集中在前向上。选取折射指数为1.01,2,2.7,3，4，10 等五个值，探讨了折射率的变化对球形颗粒散射相函数产生的影响，当折射率小于 2.7 时，随着折射率增大，相函数前向值逐渐增大，后向值逐渐减小。而当折射率大于 2.7 时则刚好相反，且当折射率大于 4 时，能量分布由偏前向变为偏后向。选取吸收指数为0,0.08,0.3等三个值，分析了吸收对球形颗粒散射相函数的影响，在前向上，随着吸收指数增大，后向则反之。9663
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关键词 Mie散射相函数 尺度参数 球形颗粒 折射率
Title Spherical particles scatter factor analysis
Abstract
Introduced the basic theory of the scattering phase function，A brief
introduction on the basic solution of the phase functions, such as the
linear solution, the HG function, Dd function. An overview for the theory
of spherical particles Mie scattering which is used. Spherical particle
scattering phase function may have impact factors. Analyzing the
scattering phase function with the scattering angle changes, when the scale
parameter value is 0.01, 1, 2, 5, 10. And the overall performance of the
scale parameter changes on the spherical particle scattering phase
function. When the scale parameter is small, around the energy distribution
are equal, as the scale parameter increases, the energy gradually
concentrated in the former up. When the index of refraction less than 2.7,
with the refractive index increases, the forward value the phase function
is gradually increasing, the values of backward decreasing. When the index
of refraction greater than 2.7 is exactly the opposite. And when the index
of refraction greater than 4, the energy is distributed by the partial ago
to become the partial . Select the refractive index of 1.01, 2, 2.7, 3,
4, 10 three values,and explores the impact of the refractive index change
in the scattering phase function of spherical particles. Select the index
of absorption for 0, 0.08, 0.3 the value of the three analyzed factors
affecting absorption of spherical particle scattering phase function. The
forward with the absorption index increases, otherwise the backward.
Keywords Mie Scattering phase function Scale parameter
Spherical particles Index of refraction 目 录
1 绪论5
1.1 研究背景与意义 5
1.2 国内外研究现状与发展6
1.3 论文的主要内容与框架8
2 散射相函数的基本理论 8
2.1 散射相函数 8
2.2 散射相函数的处理方法8
2.2.1 Mie散射相函数8
2.2.2 线性散射相函数9
2.2.3 级数形式勒让德多项式函数9
2.2.4 Henyey- Greenstein 相函数 9
2.2.5 Dirac- delta相函数 10
2.3 Mie散射相函数理论10
2.3.1 Mie理论概述10
2.3.2 球形粒子的Mie理论 12