Wave propagation in random media, parameter estimation and damage detection via stochastic Fourier integral operators

This paper presents a new approach to modelling wave propagation in random, linearly elastic materials, namely by means of Fourier integral operators (FIOs). The FIO representation the solution equations motion can be used identify parameters underlying media, as well their statistical hyperparameters randomly perturbed case. A stochastic version for damage detection. Hypothesis tests are proposed and validated, which capable distinguishing between an undamaged damaged material, even presence random material parameters. both theoretical fundamentals numerical experiment, applicability method is demonstrated.