Sassaroli Angelo, Martelli Fabrizio
Tufts University, Department of Biomedical Engineering, Medford, Massachusetts 02155, USA.
J Opt Soc Am A Opt Image Sci Vis. 2012 Oct 1;29(10):2110-7. doi: 10.1364/JOSAA.29.002110.
In the field of photon migration in turbid media, different Monte Carlo methods are usually employed to solve the radiative transfer equation. We consider four different Monte Carlo methods, widely used in the field of tissue optics, that are based on four different ways to build photons' trajectories. We provide both theoretical arguments and numerical results showing the statistical equivalence of the four methods. In the numerical results we compare the temporal point spread functions calculated by the four methods for a wide range of the optical properties in the slab and semi-infinite medium geometry. The convergence of the methods is also briefly discussed.
在浑浊介质中的光子迁移领域，通常采用不同的蒙特卡罗方法来求解辐射传输方程。我们考虑了四种不同的蒙特卡罗方法，它们在组织光学领域广泛使用，基于构建光子轨迹的四种不同方式。我们提供了理论论据和数值结果，表明这四种方法在统计上是等效的。在数值结果中，我们比较了这四种方法针对平板和半无限介质几何结构中广泛的光学特性所计算出的时间点扩散函数。还简要讨论了这些方法的收敛性。
