### Abstract

Forward-peaked and large-angle scattering approximations of the radiative transport equation give rise to generalized Fokker-PIanck equations whose main feature is the replacement of the integral scattering operator with differential operators in the direction-space variables. Using the P_{N} method, an appraisal of generalized Fokker-PIanck equations due to González- Rodriguez and Kim [Appl. Opt. 47, 2599-2609 (2008)], Leakeas and Larsen [Nucl. Sci. Eng. 137, 236-250 (2001), and J. Opt. Soc. Am. A 20, 92-98 (2003)], and Pomraning [Math. Models Meth. Appl. Sci. 2, 21-36 (1992)] is carried out by computing the relative error between the backscattered and transmitted surface flux predicted by the generalized Fokker-PIanck equations and the transport equation with Henyey-Greenstein phase function for anisotropies ranging from 0 to 1. Generalized Fokker-PIanck equations whose scattering operators incorporate large-angle scattering and possess eigenvalues similar to the integral scattering operator with Henyey-Greenstein phase function are found to minimize the relative error in the limit of unit anisotropy.

Original language | English (US) |
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Pages (from-to) | 229-241 |

Number of pages | 13 |

Journal | Applied Optics |

Volume | 48 |

Issue number | 2 |

DOIs | |

State | Published - Jan 10 2009 |

### ASJC Scopus subject areas

- Atomic and Molecular Physics, and Optics
- Engineering (miscellaneous)
- Electrical and Electronic Engineering

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## Cite this

*Applied Optics*,

*48*(2), 229-241. https://doi.org/10.1364/AO.48.000229