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Persistent random walk model for transport trough thin slabs

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We present a model for transport in multiply scattering media based on a three-dimensional generalization of the persistent random walk. The model assumes that photons move along directions that are parallel to the axes. Although this hypothesis is not realistic, it allows us to solve exactly the problem of multiple scattering propagation in a thin slab. Among other quantities, the transmission probability and the mean transmission time can be calculated exactly. Besides being completely solvable, the model could be used as a benchmark for approximation schemes to multiple light scattering.

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BOGUÑÁ, Marián, PORRÀ I ROVIRA, Josep Maria and MASOLIVER, Jaume. Persistent random walk model for transport trough thin slabs. Physical Review e. 1999. Vol. 59, num. 6, pags. 6517-6526. ISSN 1063-651X. [consulted: 9 of September of 2026]. Available at: https://hdl.handle.net/2445/18881

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