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arXiv 1601.00484physics.optics
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K积分在层状介质辐射转移中的应用

Application of K-integrals to radiative transfer in layered media

Adrian C Selden

摘要:

本文用K积分法计算了折射率不连续的层状介质中的辐射转移,得到了简单而精确的结果。这些是应用于折射边界处的角强度分布的某些加权积分。辐射强度表示为在散射介质的深度内有效的渐近角强度分布和在边界附近有效的瞬态项之和。积分边界条件从消失的K-积分的边界瞬态,产生简单的线性方程的强度系数(两个半空间,四个平板或接口),使角发射强度和漫反射率(反射率)和透射率的散射层进行计算。K积分方法比扩散理论精确几个数量级,可以应用于具有宽范围散射系数的散射介质。例如,对于折射率n = 1.5的散射层的漫反射率,获得了接近五位数的精度,其中单次散射的反射率在0.3至1的范围内

英文摘要:

Simple yet accurate results for radiative transfer in layered media with discontinuous refractive index are obtained by the method of K-integrals, originally developed for neutron transport analysis. These are certain weighted integrals applied to the angular intensity distribution at the refracting boundaries. The radiative intensity is expressed as the sum of the asymptotic angular intensity distribution valid in the depth of the scattering medium and a transient term valid near the boundary. Integral boundary conditions are obtained from the vanishing of the K-integrals of the boundary transient, yielding simple linear equations for the intensity coefficients (two for a halfspace, four for a slab or an interface), enabling the angular emission intensity and the diffuse reflectance (albedo) and transmittance of the scattering layer to be calculated. The K-integral method is orders of magnitude more accurate than diffusion theory and can be applied to scattering media with a wide range of scattering albedoes. For example, near five figure accuracy is obtained for the diffuse reflectance of scattering layers of refractive index n = 1.5 with single scattering albedo in the range 0.3 to 1

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