An FN method for the radiative transport equation in three dimensions

TL;DR

This paper extends the FN numerical method for the radiative transport equation from one to three dimensions using rotated reference frames, demonstrating its effectiveness through calculations of reflected flux under structured illumination.

Contribution

The paper introduces a three-dimensional extension of the FN method employing rotated reference frames, enhancing its applicability to complex radiative transport problems.

Findings

Accurate calculation of reflected flux in 3D using the extended FN method

Demonstrates efficiency and accuracy of the method in structured illumination scenarios

Provides a new tool for 3D radiative transport modeling

Abstract

The FN method is an accurate and efficient numerical method for the one-dimensional radiative transport equation. In this paper the FN method is extended to three dimensions using rotated reference frames. To demonstrate the method, the exiting flux from structured illumination reflected by a medium occupying the half space is calculated.