2015
DOI: 10.1117/1.jbo.20.10.105005
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On the geometry dependence of differential pathlength factor for near-infrared spectroscopy. I. Steady-state with homogeneous medium

Abstract: Abstract. This work analytically examines some dependences of the differential pathlength factor (DPF) for steady-state photon diffusion in a homogeneous medium on the shape, dimension, and absorption and reduced scattering coefficients of the medium. The medium geometries considered include a semi-infinite geometry, an infinite-length cylinder evaluated along the azimuthal direction, and a sphere. Steady-state photon fluence rate in the cylinder and sphere geometries is represented by a form involving the phy… Show more

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Cited by 31 publications
(28 citation statements)
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“…where μ a ðλÞ is the absorption coefficient and μ 0 s ðλÞ is the reduced scattering coefficient. 22 Combining Eqs. (9) and (10), it is possible to obtain E Q -T A R G E T ; t e m p : i n t r a l i n k -; e 0 1 1 ; 3 2 6 ; 5 6 5 DPFðλÞ…”
Section: Modified Beer-lambert Law Differential Pathlength Factor Amentioning
confidence: 99%
“…where μ a ðλÞ is the absorption coefficient and μ 0 s ðλÞ is the reduced scattering coefficient. 22 Combining Eqs. (9) and (10), it is possible to obtain E Q -T A R G E T ; t e m p : i n t r a l i n k -; e 0 1 1 ; 3 2 6 ; 5 6 5 DPFðλÞ…”
Section: Modified Beer-lambert Law Differential Pathlength Factor Amentioning
confidence: 99%
“…The solution Eq. (12) can also be written in the following Eigen function expansion (Piao et al, 2015):…”
Section: Steady-state Photon Diffusion Causing Surface Photon Emissionmentioning
confidence: 99%
“…A field point ⃗ on or beyond the spherical tissue boundary locates at ( , , ) with ≥ 0 . The application of the extrapolated zero-boundary condition to the photon fluence rate associated with any source within the tissue medium is satisfied by introducing an "image" of the source with respect to the extrapolated zero-boundary that is co-centric with and at a radial distance of = 2 outward from the physical boundary (Piao et al, 2015) where = (1 + ) (1 − ) ⁄ , = −1.440 −2 + 0.710 −1 + 0.668 + 0.0636 , and is the refractive index of the air-bounding tissue. As the composite photon fluence rate resulted from both the physical source in the tissue medium and the image of it becomes zero at the extrapolated zero-boundary, the composite positive photon fluence rate elsewhere resulted from the same two sources of one being physical and the other being imaginary thus become the solution in the associated physical space within the body volume or beyond the boundary, according to the uniqueness characteristics of all electromagnetic properties.…”
Section: Steady-state Photon Diffusion Causing Surface Photon Emissionmentioning
confidence: 99%
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“…1), where: In this method, a solution based on Bessel and modified Bessel functions was found for cylindrical geometries [9]. However, a more accurate extrapolated zero-boundary condition yields a solution based on modified Bessel functions of the first and second kind [10][11][12][13]. In this paper we will use the solution of steady-state photon diffusion based on the extrapolated zero-boundary and compare it to MC simulations in cylindrical geometry.…”
Section: Introductionmentioning
confidence: 99%