Studies show that near-infrared (NIR) light (light with wavelength between 700nm and 1300nm)
undergoes two interactions, absorption and scattering, when it penetrates a tissue. Since scattering is the
predominant interaction, the calculation of light distribution in the tissue and the image reconstruction
of absorption and scattering coefficients are very complicated. Some analytical and numerical methods,
such as and Monte Carlo method, have been used for the simulation of light
penetration in tissue. Recently, some investigators in the world have tried to develop a diffuse optical
tomography system. In these systems, NIR light penetrates the tissue and passes through the tissue. Then,
light exiting the tissue is measured by NIR detectors placed around the tissue. These data are collected
from all the detectors and transferred to the computational parts (including hardware and software), which
make a cross-sectional image of the tissue after performing some computational processes. In this paper, the
results of the simulation of an optical diffuse tomography system are presented. This simulation involves
two stages: a) Simulation of the forward problem (or light penetration in the tissue), which is performed
by solving the diffusion approximation equation in the stationary state using FEM. b) Simulation of
the inverse problem (or image reconstruction), which is performed by the optimization algorithm called
Broyden quasi-Newton. This method of image reconstruction is faster compared to the other Newton-based
optimization algorithms, such as the Levenberg-Marquardt one.