Infinite space Green’s function of the time-dependent radiative transfer equation

This MATLAB script enables the evaluation of the time resolved fluence obtained from the radiative transfer equation for an infinitely extended scattering medium illuminated by a isotropic point source, see A. Liemert A. Kienle:'Infinite space Green’s function of the time-dependent radiative transfer equation', 3, 543–551 Biomed. Opt. Express (2012).

Solution of the radiative transfer equation for infinitely extended turbid media

This MATLAB script enables the evaluation of the spatially resolved fluence obtained from the radiative transfer equation.
The resulted fluence equals exactly the derived version published in Phys.Rev.A (A. Liemert A. Kienle: 'Analytical solution of the radiative transfer equation for infinite-space fluence', Phys.Rev.A 83, 015804 (2011).) However, we used a slightly different numerical algorithm for calculating the fluence (the eigenvalue method) because the numerical evaluations in MATLAB is more stable.

Time resolved reflectance from a N-layered turbid cylinder

The time resolved reflectance from a N-layered turbid cylinder is calculated. The optical and geometrical properties of the cylinder have to be inserted in the file 'input.dat'. The instructions are given in 'instruction.txt'.

Spatially resolved reflectance from a N-layered turbid cylinder

The program 'nlayeredsteady' enables the calculation of the spatially-resolved reflectance from a semi-infinite turbid medium having n layers. The Fourier transform algorithm is applied to solve the n-layered diffusion equation.

Contact:
André Liemert

Time resolved reflectance from a laterally infinitely extended turbid medium having N layers

The program 'nlayered' enables the calculation of the time-resolved reflectance from a semi-infinite turbid medium having n layers. The Fourier transform algorithm is applied to solve the n-layered diffusion equation.

Spatially resolved reflectance from a laterally infinitely extended turbid medium having N layers

The program 'nlayeredsteady' enables the calculation of the spatially-resolved reflectance from a semi-infinite turbid medium having n layers. The Fourier transform algorithm is applied to solve the n-layered diffusion equation.

Contact:
André Liemert

BLOOD_VESSEL generates the image of a blood vessel embedded in skin

A Matlab user interface is provided where the absorption coefficients of the epidermis, the dermis and the blood vessel are linked to physiological parameters.

The following parameters can be changed by the user:

  • melanin concentration in epidermis
  • blood concentration in dermis
  • oxygen saturation in dermis
  • oxygen saturation in blood vessel.

Furthermore, the amplitude of the scattering coefficient, the depth and diameter of the vessel as well as a baseline absorption can be controlled.

In principle the user can freely specify the spectral dependency of the scattering coefficient, the spectral course of the absorption coefficients as well as the depth and diameter of the vessel and use the provided
lookup table to get the related spatially and spectrally resolved reflectance.

Download BLOOD_VESSEL with big LUT (977 MB)

Contact:
Alwin Kienle