Time-dependent radiation transport in a one-dimensional medium

Computer Science

Scientific paper

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Isotropic Media, Radiation Transport, Random Walk, Time Dependence, Bessel Functions, Eigenvectors, Fourier Transformation, Green'S Functions, Homogeneity

Scientific paper

An analytic solution of the time-dependent radiation transport problem in a one-dimensional, stationary and homogeneous medium of finite thickness is presented. The solution is found by the method of images, and is compared with an eigenfunction expansion. Previous conjectures about the structure of such an expansion are clarified. The Green's function of this problem is also expanded in scattering orders.

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