光在带有内部反射的浑浊介质中的扩散

IF 0.9 4区物理与天体物理 Q4 PHYSICS, CONDENSED MATTER

Condensed Matter Physics Pub Date : 2023-01-01 DOI:10.5488/cmp.26.33604

W. Schirmacher, G. Ruocco

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引用次数: 0

摘要

我们将描述光在浑浊介质中强度传递的Kubelka-Munk方程与一维扩散方程联系起来，该方程是通过在横向方向上平均三维扩散方程得到的。这使我们能够独特地识别Kubelka-Munk参数，并推导出包括内反射影响的漫反射和透射系数的表达式。没有内部反射，我们恢复了这些系数的Kubelka-Munk公式。我们证明了Kubelka-Munk方程是一维扩散问题的合适的辐射传递方程。

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Diffusion of light in turbid media with internal reflections

We relate the the Kubelka-Munk equations for the description of the intensity transfer of light in turbid media to a one-dimensional diffusion equation, which is obtained by averaging the three-dimensional diffusion equation over the lateral directions. This enables us to identify uniquely the Kubelka-Munk parameters and derive expressions for diffuse reflection and transmission coefficients including the effect of internal reflections. Without internal reflections we recover the Kubelka-Munk formulae for these coefficients. We show that the Kubelka-Munk equations are the proper radiative-transfer equations for the one-dimensional diffusion problem.

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来源期刊

Condensed Matter Physics 物理-物理：凝聚态物理

CiteScore

1.10

自引率

16.70%

发文量

审稿时长

1 months

期刊介绍： Condensed Matter Physics contains original and review articles in the field of statistical mechanics and thermodynamics of equilibrium and nonequilibrium processes, relativistic mechanics of interacting particle systems.The main attention is paid to physics of solid, liquid and amorphous systems, phase equilibria and phase transitions, thermal, structural, electric, magnetic and optical properties of condensed matter. Condensed Matter Physics is published quarterly.