Radiative transfer equation for predicting light propagation in biological media: comparison of a modified finite volume method, the Monte Carlo technique, and an exact analytical solution.
Identifieur interne : 000D98 ( Main/Exploration ); précédent : 000D97; suivant : 000D99Radiative transfer equation for predicting light propagation in biological media: comparison of a modified finite volume method, the Monte Carlo technique, and an exact analytical solution.
Auteurs : Fatmir Asllanaj [Allemagne] ; Sylvain Contassot-Vivier [France] ; André Liemert [Allemagne] ; Alwin Kienle [Allemagne]Source :
- Journal of biomedical optics [ 1560-2281 ] ; 2014.
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Abstract
We examine the accuracy of a modified finite volume method compared to analytical and Monte Carlo solutions for solving the radiative transfer equation. The model is used for predicting light propagation within a two-dimensional absorbing and highly forward-scattering medium such as biological tissue subjected to a collimated light beam. Numerical simulations for the spatially resolved reflectance and transmittance are presented considering refractive index mismatch with Fresnel reflection at the interface, homogeneous and two-layered media. Time-dependent as well as steady-state cases are considered. In the steady state, it is found that the modified finite volume method is in good agreement with the other two methods. The relative differences between the solutions are found to decrease with spatial mesh refinement applied for the modified finite volume method obtaining <2.4%. In the time domain, the fourth-order Runge-Kutta method is used for the time semi-discretization of the radiative transfer equation. An agreement among the modified finite volume method, Runge-Kutta method, and Monte Carlo solutions are shown, but with relative differences higher than in the steady state.
Url:
DOI: 10.1117/1.JBO.19.1.015002
PubMed: 24390371
Affiliations:
- Allemagne, France
- Bade-Wurtemberg, District de Tübingen, Grand Est, Lorraine (région)
- Ulm
- Université d'Ulm, Université de Lorraine
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The model is used for predicting light propagation within a two-dimensional absorbing and highly forward-scattering medium such as biological tissue subjected to a collimated light beam. Numerical simulations for the spatially resolved reflectance and transmittance are presented considering refractive index mismatch with Fresnel reflection at the interface, homogeneous and two-layered media. Time-dependent as well as steady-state cases are considered. In the steady state, it is found that the modified finite volume method is in good agreement with the other two methods. The relative differences between the solutions are found to decrease with spatial mesh refinement applied for the modified finite volume method obtaining <2.4%. In the time domain, the fourth-order Runge-Kutta method is used for the time semi-discretization of the radiative transfer equation. An agreement among the modified finite volume method, Runge-Kutta method, and Monte Carlo solutions are shown, but with relative differences higher than in the steady state.</div></front></TEI><affiliations><list><country><li>Allemagne</li><li>France</li></country><region><li>Bade-Wurtemberg</li><li>District de Tübingen</li><li>Grand Est</li><li>Lorraine (région)</li></region><settlement><li>Ulm</li></settlement><orgName><li>Université d'Ulm</li><li>Université de Lorraine</li></orgName></list><tree><country name="Allemagne"><region name="Bade-Wurtemberg"><name sortKey="Asllanaj, Fatmir" sort="Asllanaj, Fatmir" uniqKey="Asllanaj F" first="Fatmir" last="Asllanaj">Fatmir Asllanaj</name></region><name sortKey="Kienle, Alwin" sort="Kienle, Alwin" uniqKey="Kienle A" first="Alwin" last="Kienle">Alwin Kienle</name><name sortKey="Liemert, Andre" sort="Liemert, Andre" uniqKey="Liemert A" first="André" last="Liemert">André Liemert</name></country><country name="France"><region name="Grand Est"><name sortKey="Contassot Vivier, Sylvain" sort="Contassot Vivier, Sylvain" uniqKey="Contassot Vivier S" first="Sylvain" last="Contassot-Vivier">Sylvain Contassot-Vivier</name></region></country></tree></affiliations></record>Pour manipuler ce document sous Unix (Dilib)
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