Services - Software | Module: N-Flux

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This module uses the N-Flux model to solve the one-dimension scalar radiative transfer equation (RTE) of light on medium composed by the superposition of L different layers, parallel one to the others.

The output parameters are: the reflection and transmission coefficients of the whole medium as well as the variation of the internal flux amplitude at a given penetration depth.

The model assumes that:

  • The incident radiation  is perpendicular to the first layer .

  • The front and back interfaces are planar.


  • The index of refraction of the homogeneous phase is real and identical in each layer.


  • Each layer is characterized by its thickness and local optical properties defined by its scattering and absorption coefficients as well as its phase function.

The module is optimized to directly calculate the CIE color components of the medium in reflection and transmission, when necessary.

The module can be linked to the One-Particle T Matrix formalism and Quasi Crystalline Approximation.


Flux amplitude penetration profile

variation of the flux amplitude as functions of the red and white pigments PVCs


Representation of the system under study

The heterogeneous medium is composed by L=3 layers containing different types of scattering particles at different volume filling fractions.


Color prediction

Paint film color as function of the PVC in red and white pigments.