Determination of the specific density of an aerosol through tomography

Abstract

An aerosol is considered whose droplet diameter distribution, and specific density depend only on two coordinates (y,z). The droplets contain a dilution of fluorescent product sensitive to a light-sheet of green light (λ = 0.504µm). This light-sheet is contained in the plane Oyz, has a direction parallel to y and is sent across the aerosol. It produces an orange light (λ = 0.585µm) which scatters across the aerosol towards the outlet border of the cloud. The aerosol is divided into N parallel equidistant slices. The flow of fluoresced light outgoing the cloud border is obtained as a transfer function iterated N times in convolution and convoluted with the emitted flow of fluoresced light at the level of the light-sheet. An expression of the transfer function is evidenced. Since the droplet size distribution and the borders of the cloud are known precisely it gives the possibility to reach the function ρ(y,z). That function gives us a more precise attenuation function of the light-sheet. The calculus of the transfer function is performed again and a new more precise function ρ is reached.