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Statistics of depth probed by cw measurement of photons in a turbid medium
Weiss, George H. (George Herbert), 1930-; Porrà i Rovira, Josep Maria; Masoliver, Jaume, 1951-
Universitat de Barcelona
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.
26-07-2011
Biofísica
Física mèdica
Física estadística
Termodinàmica
Sistemes dinàmics diferenciables
Òptica
Medical physics
Biophysics
Statistical physics
Thermodynamics
Differentiable dynamical systems
Optics
(c) American Physical Society, 1998
Artículo
The American Physical Society
         

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