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Research Papers: General

Light diffusion in N-layered turbid media: steady-state domain

[+] Author Affiliations
André Liemert, Alwin Kienle

Institut für Lasertechnologien in der Medizin und Meßtechnik, Helmholtzstrasse 12, Ulm, D-89081 Germany

J. Biomed. Opt. 15(2), 025003 (April 12, 2010). doi:10.1117/1.3368685
History: Received August 10, 2009; Revised January 15, 2010; Accepted February 03, 2010; Published April 12, 2010; Online April 12, 2010
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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 (10ms) with small relative differences (<107) are found. Additionally, the solutions of the diffusion equation are compared to Monte Carlo simulations for turbid media having up to 20 layers.

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© 2010 Society of Photo-Optical Instrumentation Engineers

Citation

André Liemert and Alwin Kienle
"Light diffusion in N-layered turbid media: steady-state domain", J. Biomed. Opt. 15(2), 025003 (April 12, 2010). ; http://dx.doi.org/10.1117/1.3368685


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