Geodesic
Mathematical model of disperse medium to simulate attenuation of non-scattered radiation
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 5 (2002) no. 4, pp. 311-330

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Mathematical model of a two-component random disperse medium was developed to simulate the attenuation of non-scattered radiation by disperse media. The model is based on the description of the distribution of disperse medium components along the line in the form of an alternating renewal process. Using this model, attenuation of the non-scattered radiation flux caused by a flat layer of mono-disperse sample medium with cubic and spherical grains was computed and compared to the results obtained with the effective cross-section method. 
@article{SJVM_2002_5_4_a1,
     author = {G. N. Malyshkin},
     title = {Mathematical model of disperse medium to simulate attenuation of non-scattered radiation},
     journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
     pages = {311--330},
     publisher = {mathdoc},
     volume = {5},
     number = {4},
     year = {2002},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJVM_2002_5_4_a1/}
}
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G. N. Malyshkin. Mathematical model of disperse medium to simulate attenuation of non-scattered radiation. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 5 (2002) no. 4, pp. 311-330. http://geodesic.mathdoc.fr/item/SJVM_2002_5_4_a1/