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Research Papers: General

Light diffusion in N-layered turbid media: frequency and time domains

[+] 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), 025002 (August 10, 2009January 15, 2010February 03, 2010April 12, 2010April 12, 2010). doi:10.1117/1.3368682
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 mismatched N-layered turbid media having a finite or an infinitely thick N’th layer. We focus on time-resolved light propagation in both the frequency and time domains. Based on our results for the steady-state domain, solutions of the N-layered diffusion equations in the frequency and time domains are obtained by applying the Fourier transform technique. Different methods for calculation of the inverse Fourier transform are studied to validate the solutions, showing relative differences typically smaller than 106. The solutions are compared to Monte Carlo simulations, revealing good agreement. Finally, by applying the Laplace and Fourier transforms we derive a fast (1ms) and accurate analytical solution for the time domain reflectance from a two-layered turbid medium having equal reduced scattering coefficients and refractive indices in both 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: frequency and time domains", J. Biomed. Opt. 15(2), 025002 (August 10, 2009January 15, 2010February 03, 2010April 12, 2010April 12, 2010). ; http://dx.doi.org/10.1117/1.3368682


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