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| | '''Photon diffusion equation''' is a second order [[partial differential equation]] describing the time behavior of photon fluence rate distribution in a low-absorption high-scattering medium. |
| | |
| | Its mathematical form is as follows. |
| | <math>\nabla(D(r)\cdot\nabla)\Phi(\vec{r},t)-v\mu_a(\vec{r})\Phi(\vec{r},t)+vS(\vec{r},t)=\frac{\partial\Phi(\vec{r},t)}{\partial t}</math> |
| | where <math>\Phi</math> is photon [[fluence rate]] (W/cm<sup>2</sup>), <math>\mu_a</math> is absorption coefficient (cm<sup>−1</sup>), <math>D</math> is [[diffusion constant]], <math>v</math> is the speed of light in the medium (m/s), and <math>S</math> is an isotropic source term (W/cm<sup>3</sup>). |
| | |
| | Its main difference with [[diffusion equation]] in physics is that photon diffusion equation has an absorption term in it. |
| | |
| | ==Application== |
| | ===Medical Imaging=== |
| | [[diffuse optical tomography]] |
| | |
| | ==External links== |
| | * [http://www.lrsm.upenn.edu/pmi Diffuse Optics Lab at University of Pennsylvania, Philadelphia, USA] |
| | |
| | [[Category:Equations]] |
Photon diffusion equation is a second order partial differential equation describing the time behavior of photon fluence rate distribution in a low-absorption high-scattering medium.
Its mathematical form is as follows.
where 
is photon fluence rate (W/cm2), 
is absorption coefficient (cm−1), 
is diffusion constant, 
is the speed of light in the medium (m/s), and 
is an isotropic source term (W/cm3).
Its main difference with diffusion equation in physics is that photon diffusion equation has an absorption term in it.
Application
Medical Imaging
diffuse optical tomography
External links