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Light Transport in Tissue


Non-conservative scattering (a' <1), semi-infinite slab

When the thickness of the slab is infinite then to ensure the solution (4.89) is bounded at infinity,

c1=0 (4.95)

The other coefficient c2 may be determined using the boundary condition (4.90)
\begin{displaymath}
c_2 = - {A_{\mathrm{top}}Q'(0)+c_3(1+A_{\mathrm{top}}h'/\mu_0)\over1+A_{\mathrm{top}}h'\kappa_d}
\end{displaymath} (4.96)

Equations (4.95) and (4.98) define the homogeneous solution to the diffusion equation for a semi-infinite slab with non-conservative scattering.

S. A. Prahl."Light Transport in Tissue," PhD thesis, University of Texas at Austin, 1988.