Analytical Relationships Between Bulk Microphysical Parameters of Nucleation, Aitken, Accumulation and Coarse Mode Particles and Extinction and Backscatter Coefficients Measured with Lidar

We derive analytical relationships between bulk microphysical parameters of nucleation, Aitken, accumulation and coarse mode particles and extinction and backscatter coefficients measured at wavelengths 355, 532 and 1064 nm. The bulk parameters are represented by number concentration, mean (effective) radius, variance and complex refractive index. Analytical relationships hold true for arbitrarily shaped particles and complex refractive indices m =m R -im I , where m R >>m I . The accuracy is above 60%.