TY - JOUR
T1 - Modified Kubelka-Munk equations for localized waves inside a layered medium
AU - Haney, Matthew M.
AU - Van Wijk, Kasper
PY - 2007/3/1
Y1 - 2007/3/1
N2 - 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.
AB - 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.
UR - https://www.scopus.com/pages/publications/33847619785
U2 - 10.1103/PhysRevE.75.036601
DO - 10.1103/PhysRevE.75.036601
M3 - Article
AN - SCOPUS:33847619785
SN - 1539-3755
VL - 75
JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
IS - 3
M1 - 036601
ER -