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    This tutorial introduces Monte Carlo (MC) methods for anomalous radiative transfer (ART) theory, a generalization of classical radiative transfer. Implementing these MC codes requires non-classical photon step descriptions for accurate light propagation in anomalous media.

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    Area of Science:

    • Physics
    • Optics
    • Computational Science

    Background:

    • Classical radiative transfer theory describes light propagation in homogeneous media.
    • Anomalous radiative transfer (ART) theory extends these principles to more complex, non-classical scenarios.
    • Monte Carlo (MC) methods are widely used for simulating light transport.

    Purpose of the Study:

    • To provide a tutorial on implementing Monte Carlo (MC) codes for anomalous radiative transfer (ART).
    • To demonstrate how to adapt MC methods for photon transport in anomalous media.
    • To highlight the importance of non-classical photon step descriptions in ART.

    Main Methods:

    • Implementation of MC codes tailored for ART.
    • Description of non-classical photon step lengths from light sources and boundaries.
    • Numerical verification of the invariance property for light propagation.

    Main Results:

    • Successful implementation of MC codes for ART.
    • Demonstration that non-classical photon step lengths are crucial for preserving light propagation invariance.
    • The MC method for ART simplifies classical MC code structures.

    Conclusions:

    • MC methods can be effectively adapted for ART simulations.
    • Accurate modeling of photon steps is essential for light propagation in anomalous media.
    • This approach offers potential simplifications for existing MC codes, including those in biomedical optics.