Abstract

We develop the density transform method for treating particle transport problems in spherical geometry with linearly anisotropic scattering. We consider both, the interior and exterior problems of a homogeneous sphere and show that the transform satisfies an equation that resembles particle transport equation in slab geometry. The boundary conditions for these two problems are different. We also work out the density transform method for linearly anisotropic scattering for a region of arbitrary shape.

中文翻译：

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具有线性各向异性散射的球面几何中粒子输运问题的密度变换方法

摘要

我们开发了密度变换方法，用于处理具有线性各向异性散射的球面几何中的粒子传输问题。我们同时考虑了齐次球体的内部和外部问题，并表明该变换满足类似于平板几何中的粒子传输方程的方程。这两个问题的边界条件是不同的。我们还为任意形状的区域制定了线性各向异性散射的密度变换方法。