Abstract

Using the algebra transformation method, we develop and demonstrate the use of the δP1 approximation to improve steady-state radiative-transfer estimates on spatial scales comparable to the mean free path. We show that the δP1 approximation agrees well with Monte Carlo simulation from source to infinity when we choose an appropriate parameter f (fractional portion that scatters directly forward) in the δ–Eddington phase function. We also provide the empirical formula to determine the parameter f.

© 2007 Optical Society of America

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