收稿日期: 2009-09-14
修回日期: 2010-01-06
网络出版日期: 2010-05-15
基金资助
国家重点基础研究发展计划(2006CB403705)与LASG自由探索项目联合资助
A new method for the determination of the spheroidal nonabsorbing particle size distribution
Received date: 2009-09-14
Revised date: 2010-01-06
Online published: 2010-05-15
赵剑琦 . 非吸收椭球形粒子尺度分布反演的一种新方法[J]. 中国科学院大学学报, 2010 , 27(3) : 323 -330 . DOI: 10.7523/j.issn.2095-6134.2010.3.004
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.
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