A study of the radiative transfer equation using a spherical harmonics-nodal collocation method. (March 2017)

• Record Type: Journal Article
• Authors: Capilla, M.T.; Talavera, C.F.; Ginestar, D.; Verdú, G.
• Is Part Of: Journal of quantitative spectroscopy & radiative transfer. Volume 189(2017)
• Page Start: 25
• Page End: 36
• Publication Date: 2017-03
• Subjects: Radiative transfer equation -- Light propagation in tissue -- Multidimensional PL equations -- Spherical harmonics -- Nodal collocation method; Spectrum analysis -- Periodicals; Radiation -- Periodicals; Analyse spectrale -- Périodiques; Rayonnement -- Périodiques; Radiation; Spectrum analysis; Periodicals; 543.0858
• DOI: 10.1016/j.jqsrt.2016.11.008
• Languages: English
• ISSNs: 0022-4073

Abstract

Abstract: Optical tomography has found many medical applications that need to know how the photons interact with the different tissues. The majority of the photon transport simulations are done using the diffusion approximation, but this approximation has a limited validity when optical properties of the different tissues present large gradients, when structures near the photons source are studied or when anisotropic scattering has to be taken into account. As an alternative to the diffusion model, the P L equations for the radiative transfer problem are studied. These equations are discretized in a rectangular mesh using a nodal collocation method. The performance of this model is studied by solving different 1D and 2D benchmark problems of light propagation in tissue having media with isotropic and anisotropic scattering. Abstract : Highlights: The diffusion approximation to the radiative transfer equation has limited validity. The P L equations for the radiative transfer problem are studied. These equations are spatially discretized using a nodal collocation method. Different 1D and 2D benchmark problems of light propagation in tissue are solved.