A propagation model basedonstationary random delays

Most propagation media are characterized by parameters which are time and space varying and cannot be measured. This paper proposes a unified model which is able to fit a wide range of wave spectra encountered in acoustics, ultrasonics, and electromagnetics. This model considers that media crossed by waves are characterized by stationary random propagation delays using a bidimensional probability distribution and a limited number of parameters. Gaussian processes are well-fitted to propagation through large distances due to the central limit theorem, but other kinds of processes can be considered for wave propagation through small thicknesses. Examples illustrate the interest of such a model for frequency bands going from acoustics up to light frequencies.