A new three-parameter cloud/aerosol particle size distribution based on the...

The core information for this publication's citation.: 
Alexandrov, M. D., and A. Lacis (2000), A new three-parameter cloud/aerosol particle size distribution based on the generalized inverse Gaussian density function, Applied Mathematics and Computation, 116, 153-165.
Abstract: 

We describe a three-parameter cloud/aerosol size distribution based on the generalized inverse Gaussian density function that provides a simple and convenient recipe for characterizing aerosol radiative properties. The feature that makes this distribution attractive is that all of its moments can be calculated analytically providing simple formulas for the effective radius and variance and relating these to other important quantities such as the particle number and mass densities. Another advantage of this distribution is the smooth exponential cut-off not only for large particles sizes but also in small particles regime which prevents the singularity that occurs at zero size for large effective variances for distributions like the popular gamma distribution. Unlike most size distributions in current use the proposed functional form has a third-parameter (order) which provides greater flexibility in representing different distributional shapes. Analytical expressions for the moments of the generalized inverse Gaussian distribution in the generic case contain ratios of modified Bessel functions, however for half-integer orders these expressions are simple ratios of polynomials. As a practical example we compare extinction efficiency factors and asymmetry parameters computed for several different orders of the proposed distribution function.

Research Program: 
Radiation Science Program (RSP)