Geodesic
Analytical integration of the radiative transfer equation with respect to the mean free path in a problem with barrier geometry and a point source
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 47 (2007) no. 7, pp. 1248-1263

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For a problem with a point source located in an infinite homogeneous plane-parallel barrier, the terms of a Neumann series describing the solution to the radiative transfer equation are analytically integrated in part with respect to all the mean free paths. 
@article{ZVMMF_2007_47_7_a10,
     author = {S. N. Shelud'ko},
     title = {Analytical integration of the radiative transfer equation with respect to the mean free path in a~problem with barrier geometry and a~point source},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1248--1263},
     publisher = {mathdoc},
     volume = {47},
     number = {7},
     year = {2007},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2007_47_7_a10/}
}
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S. N. Shelud'ko. Analytical integration of the radiative transfer equation with respect to the mean free path in a problem with barrier geometry and a point source. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 47 (2007) no. 7, pp. 1248-1263. http://geodesic.mathdoc.fr/item/ZVMMF_2007_47_7_a10/