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Light Transport in Tissue
The Delta-Eddington Approximation
Introduction
Derivation of the diffusion equation
Boundary conditions
Index matching, no incident diffuse light
Index matching, diffuse light incident
Index mismatch, no incident diffuse light
Index mismatch, diffuse light incident
Glass slide -- no incident diffuse light
Glass slide -- diffuse light incident
Index matching, no incident diffuse light, both media scattering
Index mismatch, no incident diffuse light, both media scattering
Dimensionless form of the diffusion equation
Solution of the one-dimensional diffusion equation
Non-conservative scattering (
a
'<1), finite slab
Non-conservative scattering (
a
' <1), semi-infinite slab
Conservative scattering
a
=1, finite slab
Conservative scattering (
a
=1), semi-infinite slab
Reflection, transmission, and fluence rates in one-dimension
Three-dimensional solution of the diffusion equation
Formal solution of
in terms of Green's functions
The Green's Function for an Infinite Slab
Explicit Expressions for
Flux, Reflection, and Transmission in Three Dimensions
Evaluation of the Delta-Eddington Approximation
Comparison of total reflection and transmission
Comparison of Fluence Rates
Conclusions
S. A. Prahl
."Light Transport in Tissue," PhD thesis, University of Texas at Austin, 1988.
in terms of Green's functions