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1971
DOI: 10.1364/ao.10.001485
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Multiple Scattering Calculations for Technology

Abstract: A many-flux (discrete ordinate) radiative transfer calculation procedure is described with the goal of making the mathematics easy to learn and use. The major approximation is the neglect of polarization. Emission within the scattering medium is not included, and the formulas are restricted to a scattering medium bounded by parallel planes. The boundary conditions allow for a variety of kinds of illumination, and the surface reflection coefficients at the boundaries of the scattering medium are accurately dete… Show more

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Cited by 266 publications
(112 citation statements)
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“…These solutions are based on a very simpli ed model of light traveling in an in nitely thick layer of material in two directions only, contrary to each other (Mudgett and Richards 1971). This simpli cation yields the Kubelka-Munk function…”
Section: Determination Of Scattering and Absorption Coef Cientsmentioning
confidence: 99%
See 1 more Smart Citation
“…These solutions are based on a very simpli ed model of light traveling in an in nitely thick layer of material in two directions only, contrary to each other (Mudgett and Richards 1971). This simpli cation yields the Kubelka-Munk function…”
Section: Determination Of Scattering and Absorption Coef Cientsmentioning
confidence: 99%
“…solutions have been proposed which also lead to empirical expressions for the scattering and absorption coef cients (Mudgett and Richards 1971;Kuhn et al 1993). A comparison of these expressions with the Kubelka-Munk function has lead to the following relationship:…”
Section: Determination Of Scattering and Absorption Coef Cientsmentioning
confidence: 99%
“…− The N-fluxes method [68], which allows converting the integrodifferential equation (94) into a differential equation system thanks to an angular discretization. Solutions are obtained for azimuthally isotropic media, the discretization being performed only according to the zenithal angle [69]; the simplest particular case is the two-flux Kubelka-Munk model [70,71].…”
Section: The Radiative Transfer Equationmentioning
confidence: 99%
“…where ( ) R θ and ( ) T θ are given in equation (63) or, if polarization is ignored, in equation (68).…”
mentioning
confidence: 99%
“…Simple macroscopic models for radiation transport in scattering media also exist [Ishimaru 1978, Zeldovich 1967. The following two-flux model, for example, is extensively employed in industry and provides a good description of experiments [Mudgett 1971]. …”
Section: Connection With Macroscopic Modelmentioning
confidence: 99%