Please use this identifier to cite or link to this item: http://hdl.handle.net/2445/18888
Title: Statistics of depth probed by cw measurement of photons in a turbid medium
Author: Weiss, George H. (George Herbert), 1930-
Porrà i Rovira, Josep Maria
Masoliver, Jaume, 1951-
Keywords: Biofísica
Física mèdica
Física estadística
Termodinàmica
Sistemes dinàmics diferenciables
Òptica
Medical physics
Biophysics
Statistical physics
Thermodynamics
Differentiable dynamical systems
Optics
Issue Date: 1998
Publisher: The American Physical Society
Abstract: 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.
Note: Reproducció del document publicat a: http://dx.doi.org/10.1103/PhysRevE.58.6431
It is part of: Physical Review e, 1998, vol. 58, núm. 5, p. 6431-6439
URI: http://hdl.handle.net/2445/18888
ISSN: 1063-651X
Appears in Collections:Articles publicats en revistes (Física de la Matèria Condensada)

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