Open Access
1 May 2005 Light transport in two-layer tissues
Arnold D. Kim, Miguel Moscoso
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Abstract
We study theoretically light backscattered by tissues using the radiative transport equation. In particular we consider a two-layered medium in which a finite slab is situated on top of a half space. We solve the one-dimensional problem in which a plane wave is incident normally on the top layer and is the only source of light. The solution to this problem is obtained formally by imposing continuity between the solutions for the upper and lower layers. However, we are interested solely in probing the top layer. Assuming that the optical properties in the lower layer are known, we remove it from the problem yielding a finite slab problem by prescribing an alternate boundary condition. This boundary condition is derived using the theory of Green's functions and is exact. Hence, one needs only to solve the transport equation in a finite slab using this alternate boundary condition. We derive an asymptotic solution for the case when the slab is optically thin. We extend these results to the three-dimensional problem using Fourier transforms. These results are validated by comparisons with numerical solutions for the entire two-layered problem.
©(2005) Society of Photo-Optical Instrumentation Engineers (SPIE)
Arnold D. Kim and Miguel Moscoso "Light transport in two-layer tissues," Journal of Biomedical Optics 10(3), 034015 (1 May 2005). https://doi.org/10.1117/1.1925227
Published: 1 May 2005
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CITATIONS
Cited by 21 scholarly publications.
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KEYWORDS
Tissues

Scattering

Optical properties

Light scattering

Numerical analysis

Diffusion

Absorption

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