A finite element-spherical harmonics radiation transport model for photon migration in turbid media |
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| Authors: | ED Aydin CRE de Oliveira |
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| Institution: | a Department of Physics, Faculty of Arts and Sciences, Canakkale Onsekiz Mart University, Terzioglu Campus, Canakkale 17100, Turkey
b Computational Physics and Geophysics Group, Department of Earth Sciences and Engineering, Imperial College of Science, Technology and Medicine, Prince Consort Road, London SW7 2BP, UK |
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| Abstract: | In this paper, we solve the steady-state form of the Boltzmann transport equation in homogeneous and heterogeneous tissue-like media with a finite element-spherical harmonics (FE-PN) radiation transport method. We compare FE-transport and diffusion solutions in terms of the ratio of absorption to reduced scattering coefficient, (μa/μs′) and the anisotropy factor g. Two different scattering phase function formulas are employed to model anisotropic scattering in the slab media with high g-value. Influence of void-like heterogeneities, and of their boundaries with the surrounding medium on the transport of photons are also examined. |
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| Keywords: | Photon migration Boltzmann transport equation Diffusion equation Finite elements Anisotropy factor g |
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