A Finite-Difference-Method Solution to Two-dimensional Steady-State Radiative Transfer Equation

Autor: 李娇 Li Jiao, 高峰 Gao Feng, 金蒙 Jin Meng, 赵会娟 Zhao Huijuan
Rok vydání: 2010
Předmět:
Zdroj: ACTA PHOTONICA SINICA. 39:1594-1601
ISSN: 1004-4213
DOI: 10.3788/gzxb20103909.1594
Popis: 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.
Databáze: OpenAIRE