Analysis on the Applicability of Diffusion Approximation for the Radiative Transfer Equation with Compton Scattering

2016 ◽  
Vol 685 ◽  
pp. 60-64
Author(s):  
Ivan Yarovenko
Keyword(s):  
Radiative Transfer ◽  
Compton Scattering ◽  
Diffusion Approximation ◽  
Transfer Equation ◽  
Radiation Transfer ◽  
Radiative Transfer Equation ◽  
Radiation Transfer Equation ◽  
Numerical Examples

This paper deals with a diffusion approximation for the radiation transfer equation which takes into account Сompton scattering on electrons. An analytical and a numerical examples are used to compare the solution of radiation transfer equation with its diffusion approximation.

Optical tomography of turbid media containing diffusive and non-diffusive inclusions: An error modeling approach

2019 ◽  
Vol 27 (6) ◽  
pp. 402-415
Author(s):  
P Pardini ◽  
G Baez ◽  
D Iriarte ◽  
J Pomarico
Keyword(s):  
Optical Properties ◽  
Radiative Transfer ◽  
Diffusion Approximation ◽  
Transfer Equation ◽  
Radiative Transfer Equation ◽  
Optical Tomography ◽  
Computation Time ◽  
Error Modeling ◽  
Modeling Approach ◽  
Optical Properties Of Tissue

Diffuse optical techniques have been extensively employed during the last years to retrieve the optical properties of tissue with and without inclusions. The usual approach is to use the diffusion approximation to the radiative transfer equation. However, if low- or non-diffusive regions are inside the studied volume, the diffusion approximation does not hold and the radiative transfer equation needs to be solved, which is computationally much more demanding. In this contribution, the problem of determining the optical properties of the whole volume of a turbid host medium containing both diffusive and non-diffusive inhomegeneities is examined. The situation reproduces clinical cases in which tumors and cysts can be present inside a studied tissue. To achieve this, an extended Kalman filter with compensation by Bayesian error modeling approach was adopted. Applying this technique, the diffusion approximation is used for calculations, reducing computation time, and discrepancies in the non-diffusive regions are compensated by the radiative transfer equation, thus keeping accuracy over the whole volume. The proposal is validated by phantom experiments showing very good results.

Modeling photon migration in tissues with the coupled radiative transfer equation and diffusion approximation

2006 ◽  
Author(s):  
Tanja Tarvainen ◽  
Marko Vauhkonen ◽  
Ville Kolehmainen ◽  
Jari P. Kaipio ◽  
Juha Heiskala ◽  
...  
Keyword(s):  
Radiative Transfer ◽  
Diffusion Approximation ◽  
Transfer Equation ◽  
Radiative Transfer Equation ◽  
Photon Migration ◽  
And Diffusion
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