Analytical approximation for lidar signal from clouds under multiple light scattering

Vladimir V. Barun

doi:10.1117/12.258163

12 November 1996 Analytical approximation for lidar signal from clouds under multiple light scattering

Vladimir V. Barun

Proceedings Volume 2833, Application of Lidar to Current Atmospheric Topics; (1996) https://doi.org/10.1117/12.258163
Event: SPIE's 1996 International Symposium on Optical Science, Engineering, and Instrumentation, 1996, Denver, CO, United States

Abstract

The main purpose of this paper is to include analytically the angular backscattering dependence of phase function characteristic of rather large cloud droplets. We are doing so for two reasons, at least. First, the widely used approximation for the phase function, e.g. assuming it to be essentially constant near backscattering direction or using some its average value over the whole angular range of backscattering, can be shown to lead to overestimated or underestimated, respectively, light power recorded by a lidar. Second, the glory region bears the information on some microphysical parameters of clouds. So, the analytical description of backscattered light power would provide the simple prediction of lidar opportunities to measure, e.g., mean sizes or halfwidth of size distributions of cloud aerosols. To this purpose, the small-angle diffusion approximation of the radiative transfer theory (RTT) is used here to derive a lidar signal from intermediate optical thicknesses of clouds, where neither the asymptotic formulas of the RTT nor the single scattering approximation are working well. The analytical integration of radiative transfer with aerosol size distribution has enabled us to derive the explicit form of lidar signal power as a function of the microphysical parameters.

Citation Download Citation

Vladimir V. Barun "Analytical approximation for lidar signal from clouds under multiple light scattering", Proc. SPIE 2833, Application of Lidar to Current Atmospheric Topics, (12 November 1996); https://doi.org/10.1117/12.258163

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KEYWORDS

Clouds

LIDAR

Light scattering

Scattering

Laser scattering

Backscatter

Geometrical optics

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