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We compare the transport theoretic and a stochastic approach of modeling light propagation in the atmosphere. Computations of LIDAR return signals using algorithms based on the two different approaches show very good agreement of the numerical data. Furthermore, a deeper analysis of the formulas for the LIDAR return signal obtained from two kinds of modeling shows that they are equivalent. Combining these approaches and introducing splitting techniques, variance reduction Monte Carlo methods and codes are designed which are adapted to the configuration of the LIDAR. These codes allow the calculation of multiple scattering effects with high accuracy. Finally, we point out the importance and some perspectives of ultilization of multiple scattering in laser remote sensing of clouds.

In this paper we shall present our stochastic model for the transfer of polarized light. We introduce the polarized phase function which is necessary for the exact determination of the scattering distribution for polarized light. Finally, we compare results of variance reduction Monte Carlo simulations based on that model with measurements taken with the DLR-Microlidar. This LIDAR is designed especially for cloud and fog measurements and has two fields of view with two polarization channels each; see W. Krichbaumer et al. (Opt. Laser Technol. 25 (1993) p. 283).

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