Modified Kubelka-Munk equations for localized waves inside a layered medium

Details Modified Kubelka-Munk equations for localized waves inside a layered medium Modified Kubelka-Munk equations for localized waves inside a layered medium

2007-01-23

arxiv.org/abs/cond-mat/0701542v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

8 pages, 3 figures (2 figures with 4 panels each), under submission to Phys Rev E

Scientific paper

We present a pair of coupled partial differential equations to describe the evolution of the average total intensity and intensity flux of a wavefield 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.

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