Multiple Scattering in a Two-Dimensional Rectangular Medium Exposed to Collimated Radiation
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 geometrics 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. © 1985.
A. L. Crosbie and R. G. Schrenker, "Multiple Scattering in a Two-Dimensional Rectangular Medium Exposed to Collimated Radiation," Journal of Quantitative Spectroscopy and Radiative Transfer, Elsevier, Jan 1985.
The definitive version is available at http://dx.doi.org/10.1016/0022-4073(85)90097-4
Mechanical and Aerospace Engineering
Article - Journal
© 1985 Elsevier, All rights reserved.