Photon diffusion equation

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. \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} where \Phi is photon fluence rate (W/cm2), \mu_a is absorption coefficient (cm−1), D is diffusion constant, v is the speed of light in the medium (m/s), and S 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

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