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Journal of Biomedical Optics

Light diffusion in N-layered turbid media: steady-state domain
Author(s): André Liemert; Alwin Kienle
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Paper Abstract

We deal with light diffusion in N-layered turbid media. The steady-state diffusion equation is solved for N-layered turbid media having a finite or an infinitely thick N'th layer. Different refractive indices are considered in the layers. The Fourier transform formalism is applied to derive analytical solutions of the fluence rate in Fourier space. The inverse Fourier transform is calculated using four different methods to test their performance and accuracy. Further, to avoid numerical errors, approximate formulas in Fourier space are derived. Fast solutions for calculation of the spatially resolved reflectance and transmittance from the N-layered turbid media (≈10 ms) with small relative differences (<10-7) are found. Additionally, the solutions of the diffusion equation are compared to Monte Carlo simulations for turbid media having up to 20 layers.

Paper Details

Date Published: 1 March 2010
PDF: 10 pages
J. Biomed. Opt. 15(2) 025003 doi: 10.1117/1.3368685
Published in: Journal of Biomedical Optics Volume 15, Issue 2
Show Author Affiliations
André Liemert, Univ. Ulm (Germany)
Alwin Kienle, Univ. Ulm (Germany)

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