Relationship between backscattering and extinction coefficients of aerosols with application to turbid atmosphere

The relationship between backscattering beta(a), and extinction alpha(a) coefficients of aerosols at a ruby laser wavelength of 694.3 nm is studied using Mie scattering theory. A simple relationship of the form beta(a) = C(a)alpha(ka)(a) is assumed, and the dependence of k(a) and C(a) on different aerosol characteristics such as size distribution and refractive index is studied. The validity of a similar relationship is examined for a turbid atmosphere (troposphere and lower stratosphere) containing both aerosols and air molecules.