Multiple scattered radiation emerging from Rayleigh and continental haze layers. I - Radiance, polarization, and neutral points

Details Multiple scattered radiation emerging from Rayleigh and continental haze layers. I - Radiance, polarization, and neutral points Multiple scattered radiation emerging from Rayleigh and continental haze layers. I - Radiance, polarization, and neutral points

Mar 1976

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976apopt..15..632k&link_type=abstract

Applied Optics, vol. 15, Mar. 1976, p. 632-647.

Mathematics

14

Atmospheric Scattering, Haze, Optical Polarization, Radiance, Rayleigh Scattering, S Matrix Theory, Light Scattering, Operators (Mathematics), Optical Thickness, Polarization Characteristics, Radiative Transfer

Scientific paper

The matrix operator method was used to calculate the polarization of radiation scattered on layers of various optical thicknesses, with results compared for Rayleigh scattering and for scattering from a continental haze. In both cases, there are neutral points arising from the zeros of the polarization of single scattered photons at scattering angles of zero and 180 degrees. The angular position of these Rayleigh-like neutral points (RNP) in the sky shows appreciable variation with the optical thickness of the scattering layer for a Rayleigh phase matrix, but only a small variation for haze L phase matrix. Another type of neutral point exists for non-Rayleigh phase functions that is associated with the zeros of the polarization for single scattering which occurs between the end points of the curve. A comparison of radiances calculated from the complete theory of radiative transfer using Stokes vectors with those obtained from the scalar theory shows that differences of the order of 23% may be obtained for Rayleigh scattering, while the largest difference found for a haze L phase function was of the order of 0.1%.

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