Scaling relations for propagation of stationary light beam through turbid media

摘要

Abstract: The transmission of a stationary beam of optical radiation through a thick layer of a turbid medium with strongly anisotropic scattering (sea water, turbid atmosphere, clouds, etc.) is considered. To describe the process of light propagation the procedure of the self-consistent renormalization of the photon diffusion coefficient in the radiative transfer equation is proposed. This approach enables one to obtain simple analytical equations for the parameters of the radiance distribution (the angular width and the polar angle corresponding to the apparent peak of the radiance) and the total flux of radiation. In the case of power-law phase functions the self- consistent method results in the novel scaling relations between the radiance parameters and optical coefficients of turbid media. The results obtained are convenient for practical applications in turbid atmosphere and sea water. !14