Nonparametric estimation of the heterogeneity of a random medium using Compound Poisson Process modeling of wave multiple scattering

Details Nonparametric estimation of the heterogeneity of a random medium using Compound Poisson Process modeling of wave multiple scattering Nonparametric estimation of the heterogeneity of a random medium using Compound Poisson Process modeling of wave multiple scattering

2009-03-26

arxiv.org/abs/0903.4502v1

Physical Review E, 80, 016601, 2009

Physics

Data Analysis, Statistics and Probability

23 pages, 8 figures, 21 references

Scientific paper

10.1103/PhysRevE.80.016601

In this paper, we present a nonparametric method to estimate the heterogeneity of a random medium from the angular distribution of intensity transmitted through a slab of random material. Our approach is based on the modeling of forward multiple scattering using Compound Poisson Processes on compact Lie groups. The estimation technique is validated through numerical simulations based on radiative transfer theory.

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