Three-dimensional transport theory via one-dimensional transport theory

TL;DR

This paper explains how three-dimensional transport equations can be derived from one-dimensional equations using rotated reference frames, simplifying complex transport problems.

Contribution

It demonstrates the method of reducing 3D transport theory to 1D through rotated reference frames, providing a practical approach for solving complex transport equations.

Findings

Reduction of 3D transport equations to 1D using rotated reference frames

Clarification of the technique's implementation

Potential simplification of complex transport problems

Abstract

In linear transport theory, three-dimensional equations reduce to one-dimensional equations by means of rotated reference frames. In this paper, we illustrate how the technique works and three-dimensional transport theories are obtained.