Acta Photonica Sinica, Volume. 39, Issue 9, 1594(2010)
A Finite-Difference-Method Solution to Two-dimensional Steady-State Radiative Transfer Equation
A novel finite difference method (FDM) solution to the 2-dimensional time-independent radiative transfer equation (RTE) is proposed for small-animal imaging applications, which is based on the real physics of 3-dimensional scattering of a photon in turbid medium. The influences of the angular discretization and the spatially meshing grids on the accuracy of FDM-RTE solution are investigated and a comparison is made between the FDM-RTE calculations to the relevant Monte-Carlo simulation ones for a validation of the proposed method. The comparison shows that, as the number of the discretized solid angles is over 80, the accuracy of the FDM-RTE calculated forward photon density is insensitive to the spatially meshing grids on the transmission and side surfaces but on the reflection surface. This study provides a viable methodology to the development of the RTE-based Diffuse Optical Tomography(DOT) technology.
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JIN Meng, GAO Feng, LI Jiao, ZHAO Hui-juan. A Finite-Difference-Method Solution to Two-dimensional Steady-State Radiative Transfer Equation[J]. Acta Photonica Sinica, 2010, 39(9): 1594
Received: Jan. 29, 2010
Accepted: --
Published Online: Nov. 4, 2010
The Author Email: Meng JIN (kingman1980@hotmail.com)
CSTR:32186.14.