A synthetic scattering kernel for particle transport in absorbing media with anisotropic scattering

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Abstract
The author considers a point source emitting particles in an infinite, absorbing medium. The subsequent history of these particles is governed by the one-speed Boltzmann transport equation which is solved with a new synthetic scattering law. The modelled scattering law allows a combination of forward scattering, backward scattering and isotropic scattering and it enables an exact, closed form solution to be obtained by the method of Fourier transforms. The solution of the transport equation is evaluated numerically for a range of parameters and compared with some essentially exact results obtained by Vanmassenhove and Grosjean (1967) who employed the Henyey-Greenstein scattering law.

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