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

Matthew M. Haney; Kasper Van Wijk

doi:10.1103/PhysRevE.75.036601

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

Matthew M. Haney
, Kasper Van Wijk

Geosciences Department

Sandia National Laboratories

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

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.

Original language	English
Article number	036601
Journal	Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume	75
Issue number	3
DOIs	https://doi.org/10.1103/PhysRevE.75.036601
State	Published - 1 Mar 2007

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10.1103/PhysRevE.75.036601

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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.",

author = "Haney, \{Matthew M.\} and \{Van Wijk\}, Kasper",

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AU - Haney, Matthew M.

AU - Van Wijk, Kasper

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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 -

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

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