Asymptotic solutions of numerical transport problems in optically thick, diffusive regimes
Journal of Computational Physics
Numerical recipes in C: the art of scientific computing
Numerical recipes in C: the art of scientific computing
Asymptotic solutions of numerical transport problems in optically thick, diffusive regimes II
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational Physics
Finite Element Method for Elliptic Problems
Finite Element Method for Elliptic Problems
Physics-Based Subsurface Visualization of Human Tissue
IEEE Transactions on Visualization and Computer Graphics
Hi-index | 31.45 |
This paper introduces generalized diffusion models for the transport of particles in scattering media with nonscattering inclusions. Classical diffusion is known as a good approximation of transport only in scattering media. Based on asymptotic expansions and the coupling of transport and diffusion models, generalized diffusion equations with nonlocal interface conditions are proposed which offer a computationally cheap, yet accurate, alternative to solving the full phase-space transport equations. The paper shows which computational model should be used depending on the size and shape of the nonscattering inclusions in the simplified setting of two space dimensions. An important application is the treatment of clear layers in near-infrared (NIR) spectroscopy, an imaging technique based on the propagation of NIR photons in human tissues.