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

TL;DR

This paper introduces a nonparametric method leveraging Compound Poisson Processes to estimate the heterogeneity of a random medium from transmitted wave intensity distributions, validated via numerical simulations.

Contribution

It presents a novel nonparametric approach using Compound Poisson Processes for modeling wave multiple scattering in random media.

Findings

Effective estimation of medium heterogeneity demonstrated

Method validated through numerical simulations

Applicable to wave transmission through random materials

Abstract

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.