非吸收椭球形粒子尺度分布反演的一种新方法  

A new method for the determination of the spheroidal nonabsorbing particle size distribution

作　　者：赵剑琦[1] 

机构地区：[1]中国科学院大气物理研究所大气科学和地球流体力学数值模拟国家重点实验室,北京100029

出　　处：《中国科学院研究生院学报》2010年第3期323-330,共8页Journal of the Graduate School of the Chinese Academy of Sciences

基　　金：国家重点基础研究发展计划(2006CB403705);LASG自由探索项目联合资助

摘　　要：研究了非吸收椭球形粒子尺度分布的反演问题.对于连续消光谱,得到了尺度分布与消光系数之间一个新的变换关系.对于离散消光谱,给出了基于Gamma分布展开的粒子尺度分布函数的级数表示,其中展开系数可通过求解相应的约束线性方程组来确定.在某种给定的反演精度下,实施积分所需的最短应测量波长与最小可反演粒径成正比.数值试验表明,本文所发展的解析技术是有效的,可容忍消光谱约5%的随机误差.The inversion problem of the nonabsorbing spheroidal particle size distribution has been studied in this paper. For continuous extinction spectrum, a new transform relationship between size distribution and extinction coefficient is derived. For discrete extinction spectrum, a series representation of particle size distribution based on Gamma distribution function is given, in which the unknown expansion coefficients are determined by solving the corresponding constraints linear equations. The shortest wavelength required for the implementation of integral is proportional to the smallest inversible particle size in a given inversion accuracy. Numerical tests have shown that this analytic technique is stable and efficient and it can tolerate about 5% of noise-corruption in extinction spectrum.

关 键 词：尺度分布函数 最小可反演粒径 最短应测量波长 

分 类 号：O439[机械工程—光学工程]