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

doi:10.7523/j.issn.2095-6134.2010.3.004

Abstract

Abstract:

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.

Key words: size distribution function, smallest inversible size, shortest measured wavelength

CLC Number:

O439

ZHAO Jian-Qi. A new method for the determination of the spheroidal nonabsorbing particle size distribution[J]. , 2010, 27(3): 323-330.

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