Analytical solution of the radiative transfer equation of light radiance in a turbid slab with an inner-medium source under the P3-1D approximation
Abstract
A generalized model of the 1-dimensional radiative transfer equation of the light radiance in a turbid slab is detailed, under the P-3 approximation, including the possibility to model a continuous plane-wave source located at any depth within the scattering slab. This analytical model, which requires significant evolution of the P3-1D model, is extensively described and validated by comparison with Monte-Carlo numerical experiments. A series of numerical simulations illustrates some of the modeling possibilities offered by this extended model, which makes it possible to continuously model the transition between a classical slab geometry and a semi-infinite geometry.
Fields of Study & Subjects
Radiative Heat Transfer Studies
Optical Imaging and Spectroscopy Techniques
Photodynamic Therapy Research Studies
Publication details
- Journal / source
- Optics Express
- Publisher
- Optica Publishing Group
- Volume
- 34
- Issue
- 13
- Pages
- 23586–23586
- Publication date
- 5 June 2026
- Language
- EN