# Transfer matrix method for four-flux radiative transfer

## TL;DR

This paper introduces a transfer matrix formalism for four-flux radiative transfer models, enabling efficient analysis of multilayer scattering media with accurate predictions validated against Monte Carlo simulations.

## Contribution

A novel transfer matrix approach for four-flux radiative transfer models tailored for multilayer scattering media, validated against numerical simulations.

## Key findings

- Excellent agreement with Monte Carlo simulations across various parameters.
- Accurate prediction of reflection and transmission in multilayer films.
- Applicable to diffuse and collimated incident light.

## Abstract

We develop a transfer matrix formalism for four-flux radiative transfer models, which is ideally suited for studying transport through multiple scattering layers. The model, derived for spherical particles within the diffusion approximation, predicts the specular and diffuse reflection and transmission of multilayer composite films for diffuse or collimated incidence. The model shows remarkable agreement with numerical Monte Carlo simulations for a range of absorption and film thicknesses, as well as for an example multilayer slab.