title: Modified Kubelka-Munk equations for localized waves inside a layered medium.
abstract: We present a pair of coupled partial differential equations to describe the evolution of the average total intensity and intensity flux of a wave field inside a randomly layered medium. These equations represent a modification of the Kubelka-Munk equations, or radiative transfer. Our modification accounts for wave interference (e.g., localization), which is neglected in radiative transfer. We numerically solve the modified Kubelka-Munk equations and compare the results to radiative transfer as well as to simulations of the wave equation with randomly located thin layers.
authors.affiliation: Geophysics Department, Sandia National Laboratories, Albuquerque, New Mexico 87185-0750, USA.
authors.forename: Matthew M
authors.initials: MM
authors.lastname: Haney
authors.forename: Kasper
authors.initials: K
authors.lastname: van Wijk