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  • Title: Improved solutions of the steady-state and the time-resolved diffusion equations for reflectance from a semi-infinite turbid medium.
    Author: Kienle A, Patterson MS.
    Journal: J Opt Soc Am A Opt Image Sci Vis; 1997 Jan; 14(1):246-54. PubMed ID: 8988618.
    Abstract:
    Improved solutions of the diffusion equation for time-resolved and steady-state spatially resolved reflectance are investigated for the determination of the optical coefficients of semi-infinite turbid media such as tissue. These solutions are derived for different boundary conditions at the turbid-medium-air interface and are compared with Monte Carlo simulations. Relative reflectance data are fitted in the time domain, whereas relative and absolute reflectance are investigated in the steady-state domain. It is shown that the error in deriving the optical coefficients is, especially for steady-state spatially resolved reflectance, considerably smaller for the solutions under study than for the commonly used solutions. Analysis of experimental measurements of absolute steady-state spatially resolved reflectance confirms these results.
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