Coupling between radiative transport and diffusion approximation for enhanced near-field photon-migration modeling based on transient photon kinetics

Coupling between radiative transport and diffusion approximation for enhanced near-field photon-migration modeling based on transient photon kinetics
复制标题

基于瞬态光子动力学的增强近场光子迁移建模的辐射传输和扩散近似之间的耦合

DOI:
10.1117/1.jbo.21.5.050501
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发表时间:
2016
影响因子:
3.5
通讯作者:
Gao Feng
Gao Feng
中科院分区:
医学3区
文献类型:
--
作者:
Jia Mengyu;Zhao Huijuan;Li Jiao;Liu Lingling;Zhang Limin;Jiang Jingying;Gao Feng

文献摘要

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在基于子域的混合模型中,用于增强近场光子迁移描述的输运理论及其扩散近似之间的耦合可能在计算上是复杂的,甚至在物理上是不准确的。我们报告一个物理上一致的耦合方法,连接的传输和扩散物理的光子根据瞬态光子动力学,其中分布的完全扩散的光子在过渡时间提供了一个计算节省辅助时域扩散解决方案。这作为一个补充或完整的各向同性源的时间积分的早期阶段的输运方程和扩散方程的后期阶段,分别从早期和后期的光密度可以独立地获得和总结,以实现整个输运过程的稳态建模。所提出的计划进行了验证与数值模拟的立方几何。
Coupling between transport theory and its diffusion approximation in subdomain-based hybrid models for enhanced description of near-field photon-migration can be computationally complex, or even physically inaccurate. We report on a physically consistent coupling method that links the transport and diffusion physics of the photons according to transient photon kinetics, where distribution of the fully diffusive photons at a transition time is provided by a computation-saving auxiliary time-domain diffusion solution. This serves as a complementary or complete isotropic source of the temporally integrated transport equation over the early stage and the diffusion equation over the late stage, respectively, from which the early and late photodensities can be acquired independently and summed up to achieve steady-state modeling of the whole transport process. The proposed scheme is validated with numerical simulations for a cubic geometry.