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

2007/01/23 by Matthew M. Haney, M. M. Haney, Haney, Matthew M. +2 · 1 citation
Physics and Astronomy · #Advanced Optical Sensing Technologies #Optical and Acousto-Optic Technologies #Random lasers and scattering media #cond-mat.mes-hall #cond-mat.stat-mech

paper · pdf · doi:10.48550/arxiv.cond-mat/0701542

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

arxiv created 2007/01/23 · arxiv updated 2009/12/01

Abstract

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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