均匀椭球粒子的彩虹角分析

doi:10.3969/j.issn.1001-2400.2010.04.027

J4 ›› 2010, Vol. 37 ›› Issue (4): 731-736.doi: 10.3969/j.issn.1001-2400.2010.04.027

均匀椭球粒子的彩虹角分析

李祥震;韩香娥

(西安电子科技大学理学院，陕西西安 710071)

收稿日期:2009-03-24 出版日期:2010-08-20 发布日期:2010-10-11
通讯作者: 李祥震
作者简介:李祥震(1980-)，男，西安电子科技大学博士研究生，E-mail: lllleo2002@yahoo.com.cn．
基金资助:
教育部科学技术研究重点资助项目(106149)

Rainbow angle analysis of a homogeneous spheroid

LI Xiang-zhen;HAN Xiang-e

(School of Science, Xidian Univ., Xi'an 710071， China)

Received:2009-03-24 Online:2010-08-20 Published:2010-10-11
Contact: LI Xiang-zhen

摘要/Abstract

摘要：

推导了适用于任意长短轴比椭球的光线追迹公式．利用此公式研究了平面波以任意方向入射到长短轴比较大的均匀椭球粒子的一阶几何光学彩虹角分布．研究结果表明，对于平面波正入射到长椭球的情况，当长短轴之比在一定范围内，不存在一阶几何光学彩虹角，并且这个范围随着粒子折射率增大而增大;当平面波斜入射到长椭球时，随着平面波倾斜角的变化，0°～360°范围内一阶几何光学彩虹角的对称性发生变化．对于平面波正入射到扁椭球的情况，一阶彩虹角分布与球粒子类似;当平面波斜入射到扁椭球时，一阶彩虹角随入射波倾斜角的变化情况与长椭球大致相反．此研究结果为长短轴比较大的均匀椭球粒子的粒度测量提供一定的理论依据．

关键词: 光散射, 几何光学, 光线追迹, 椭球

Abstract:

A general ray-tracing method for homogeneous spheroids with the arbitrary aspect-ratio is presented on the basis of geometrical optics, and is employed to study the primary rainbow angle of spheroids with a larger aspect-ratio at an arbitrary incidence. For the prolate spheroid normally illuminated by plane waves, when the aspect-ratio is in a certain range, no primary rainbow angle exists. The research shows that the aspect-ratio range increases with the refractive index of the spheroid. For the oblique incidence, the symmetry of two primary rainbow angles varies with the tilt angle of the incident plane wave in (0°~360°). The primary rainbow angle of the oblate spheroid at the normal incidence is similar to that of the sphere. For the oblique incidence, the variation of the primary rainbow angle of oblate spheroid is opposite to that of the prolate spheroid. The results lay the theoretical groundwork for granularity measurement of the spheroidal particle.

Key words: light scattering, geometrical optics, ray tracing, spheroidal particle

李祥震;韩香娥. 均匀椭球粒子的彩虹角分析[J]. J4, 2010, 37(4): 731-736.

LI Xiang-zhen;HAN Xiang-e. Rainbow angle analysis of a homogeneous spheroid[J]. J4, 2010, 37(4): 731-736.

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均匀椭球粒子的彩虹角分析

Rainbow angle analysis of a homogeneous spheroid

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