A least square finite element formulation of the collimated irradiation in frequency domain for optical tomography applications |
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Authors: | O Balima T Pierre D Marceau |
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Institution: | a Groupe de Recherche en Ingénierie des Procédés et Systèmes, Université du Québec à Chicoutimi, QC, Canada G7H 2B1 b Centre Universitaire de Recherche sur l’Aluminium, Université du Québec à Chicoutimi, QC, Canada G7H 2B1 |
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Abstract: | This paper presents an extension of the least square finite element formulation associated to the discrete ordinates method to solve collimated irradiation problems in frequency domain. The features of the method are shown with a separation of the intensity into its collimated and scattered parts for a better handling of discontinuities due to the boundary conditions of Dirichlet type used in optical tomography applications. Numerical tests are used to gauge the accuracy of the model in both isotropic and anisotropic scattering media, with and without frequency modulation. The results show that the method is accurate compared to some reference solutions. |
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Keywords: | Radiative transfer equation Frequency modulation Finite element method Discrete ordinates method |
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