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The finite element method for the propagation of light in scattering media: Boundary and source conditions
Author(s) -
Schweiger M.,
Arridge S. R.,
Hiraoka M.,
Delpy D. T.
Publication year - 1995
Publication title -
medical physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.473
H-Index - 180
eISSN - 2473-4209
pISSN - 0094-2405
DOI - 10.1118/1.597634
Subject(s) - finite element method , boundary value problem , boundary knot method , neumann boundary condition , monte carlo method , radiative transfer , point source , mathematical analysis , boundary (topology) , isotropy , boundary element method , physics , mathematics , optics , statistics , thermodynamics
This paper extends our work on applying the Finite Element Method (FEM) to the propagation of light in tissue. We address herein the topics of boundary conditions and source specification for this method. We demonstrate that a variety of boundary conditions stipulated on the Radiative Transfer Equation can be implemented in a FEM approach, as well as the specification of a light source by a Neumann condition rather than an isotropic point source. We compare results for a number of different combinations of boundary and source conditions under FEM, as well as the corresponding cases in a Monte Carlo model.