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The known analytical solutions to this problem were obtained as the approximation of low scattering orders and, therefore, can be used for a very narrow range of characteristic problem parameters. Relatively well-developed numerical methods relies upon the Monte-Carlo algorithms, which are inconvenient for operative estimations and. qualitative studies because of time-consuming computation procedure.
E. P. Zege
"Cloud lidar return with allowance for multiple scattering", Proc. SPIE 1983, 16th Congress of the International Commission for Optics: Optics as a Key to High Technology, 19833X (26 July 1993); https://doi.org/10.1117/12.2308560
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E. P. Zege, "Cloud lidar return with allowance for multiple scattering," Proc. SPIE 1983, 16th Congress of the International Commission for Optics: Optics as a Key to High Technology, 19833X (26 July 1993); https://doi.org/10.1117/12.2308560