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# 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.

# Solutions of the diffusion equation for N-layered media

Time resolved reflectance from a N-layered turbid cylinder

Spatially resolved reflectance from a N-layered turbid cylinder

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

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

# 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 spatially 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'.

# 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.

Download infinite steady state domain program files here.

Contact:

André Liemert