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Title:
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Statistics of depth probed by cw measurement of photons in a turbid medium
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Author:
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Weiss, George H. (George Herbert), 1930-; Porrà i Rovira, Josep Maria; Masoliver, Jaume, 1951-
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Other authors:
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Universitat de Barcelona |
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Abstract:
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Photon migration in a turbid medium has been modeled in many different ways. The motivation for such modeling is based on technology that can be used to probe potentially diagnostic optical properties of biological tissue. Surprisingly, one of the more effective models is also one of the simplest. It is based on statistical properties of a nearest-neighbor lattice random walk. Here we develop a theory allowing one to calculate the number of visits by a photon to a given depth, if it is eventually detected at an absorbing surface. This mimics cw measurements made on biological tissue and is directed towards characterizing the depth reached by photons injected at the surface. Our development of the theory uses formalism based on the theory of a continuous-time random walk (CTRW). Formally exact results are given in the Fourier-Laplace domain, which, in turn, are used to generate approximations for parameters of physical interest. |
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Subject(s):
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-Biofísica
-Física mèdica
-Física estadística
-Termodinàmica
-Sistemes dinàmics diferenciables
-Òptica
-Medical physics
-Biophysics
-Statistical physics
-Thermodynamics
-Differentiable dynamical systems
-Optics |
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Rights:
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(c) American Physical Society, 1998
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Document type:
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Article
Article - Published version |
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Published by:
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The American Physical Society
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Share:
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