J Opt Soc Am A Opt Image Sci Vis. 2022 Jun 1;39(6):1053-1060. doi: 10.1364/JOSAA.454463.
Anomalous radiative transfer (ART) theory represents a generalization of classical radiative transfer theory. The present tutorial aims to show how Monte Carlo (MC) codes describing the transport of photons in anomalous media can be implemented. We show that the heart of the method involves suitably describing, in a "non-classical" manner, photon steps starting from fixed light sources or from boundaries separating regions of the medium with different optical properties. To give a better sense of the importance of these particular photon step lengths, we also show numerically that the described approach is essential in preserving the invariance property for light propagation. An interesting byproduct of the MC method for ART is that it allows us to simplify the structure of "classical" MC codes, utilized, for example, in biomedical optics.
反常辐射传输（ART）理论是经典辐射传输理论的推广。本教程旨在展示如何实现描述光子在反常介质中输运的蒙特卡罗（MC）代码。我们表明，该方法的核心涉及以“非经典”的方式适当地描述从固定光源或从具有不同光学特性的介质区域之间的边界开始的光子步骤。为了更好地理解这些特定光子步长的重要性，我们还数值表明，所描述的方法对于保持光传播的不变性是必不可少的。ART 的 MC 方法的一个有趣的副产品是，它允许我们简化“经典”MC 代码的结构，例如，在生物医学光学中使用的代码。
