Two-dimensional radiative transfer in a cylindrical geometry with anisotropic scattering

Details Two-dimensional radiative transfer in a cylindrical geometry with anisotropic scattering Two-dimensional radiative transfer in a cylindrical geometry with anisotropic scattering

Jun 1981

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981jqsrt..25..551c&link_type=abstract

Journal of Quantitative Spectroscopy and Radiative Transfer, vol. 25, June 1981, p. 551-569.

Other

22

Anisotropic Media, Electromagnetic Scattering, Incident Radiation, Radiation Sources, Radiative Transfer, Scattering Functions, Bessel Functions, Boundary Conditions, Boundary Value Problems, Collimation, Cylinders, Diffuse Radiation, Fredholm Equations, Integral Equations, Legendre Functions

Scientific paper

Exact integral equations are derived describing the source function and radiative flux in a two-dimensional, radially infinite cylindrical medium which scatters anisotropically. The problem is two-dimensional and cylindrical because of axisymmetric loading. Radially varying collimated radiation is incident normal to the upper surface while the lower boundary has no radiation incident upon it. The scattering phase function is represented by a spike in the forward direction plus a series of Legendre polynomials. The two-dimensional integral equations are reduced to a one-dimensional form by separating variables for the case when the radial variation of the incident radiation is a Bessel function. The one-dimensional form consists of a system of linear, singular Fredholm integral equations of second kind. Other more complex boundary conditions are shown to be solvable by a superposition of this basic Bessel function case. Diffusely incident radiation is also considered.

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