Three-dimensional analytical discrete-ordinates method for the radiative transport equation

TL;DR

This paper extends the analytical discrete-ordinates method to three-dimensional radiative transport equations using rotated reference frames, providing a new analytical approach and validating it against Monte Carlo simulations.

Contribution

The paper introduces a novel three-dimensional analytical discrete-ordinates method for radiative transport, expanding the technique with rotated reference frames.

Findings

Results agree with Monte Carlo simulations

Method effectively handles 3D radiative transport

Provides analytical solutions for complex geometries

Abstract

The radiative transport equation in a three-dimensional infinite medium is considered. The coefficients of the radiative transport equation are assumed to be constant. For a pencil beam, we extend the analytical discrete-ordinates method to three dimensions by rotating reference frames. Obtained results are compared to Monte Carlo simulation.