Multiple scattering in a two-dimensional rectangular medium exposed to collimated radiation

Details Multiple scattering in a two-dimensional rectangular medium exposed to collimated radiation Multiple scattering in a two-dimensional rectangular medium exposed to collimated radiation

Feb 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985jqsrt..33..101c&link_type=abstract

Journal of Quantitative Spectroscopy and Radiative Transfer (ISSN 0022-4073), vol. 33, Feb. 1985, p. 101-125.

Mathematics

4

Atmospheric Scattering, Collimation, Diffuse Radiation, Numerical Integration, Radiative Transfer, Scattering Functions, Energy Dissipation, Isotropic Media, Kernel Functions, Light Scattering, Radiant Flux Density, Singularity (Mathematics), Taylor Series

Scientific paper

Two-dimensional multiple scattering in a rectangular medium exposed to uniform collimated radiation is studied using an exact radiative transfer formulation. The two-dimensional integral equation is solved numerically by subtracting out the singularity of the kernel. Graphical and tabulated results of the flux and scattered intensity at the boundary of the rectangular medium, as well as the source function, are presented for a wide variety of geometries exposed to normal incident, collimated radiation. Comparisons are made to existing solutions of two-dimensional radiative transfer in a one-dimensional geometry. Results of the source function using the first term of a Taylor series expansion are also presented. A method is presented for extending these results to the problem of a strongly anisotropic scattering phase function which is made up of a spike in the forward direction superimposed on an isotropic phase function.

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