Photon diffusion coefficient in absorbing random media

2006 ◽  
Author(s):  
R. Carminati ◽  
R. Pierrat ◽  
J.-J. Greffet
Keyword(s):  
Diffusion Coefficient ◽  
Random Media ◽  
Photon Diffusion

Diffusion coefficient in photon diffusion theory

2000 ◽  
Vol 25 (1) ◽  
pp. 43 ◽  
Author(s):  
R. Graaff ◽  
J. J. Ten Bosch
Keyword(s):  
Diffusion Coefficient ◽  
Diffusion Theory ◽  
Photon Diffusion

scholarly journals Characteristic Length and Time Scales of the Highly Forward Scattering of Photons in Random Media

2019 ◽  
Vol 10 (1) ◽  
pp. 93 ◽  
Author(s):  
Hiroyuki Fujii ◽  
Moegi Ueno ◽  
Kazumichi Kobayashi ◽  
Masao Watanabe
Keyword(s):  
Radiative Transfer ◽  
Time Scales ◽  
Analytical Solutions ◽  
Random Media ◽  
Three Dimensional ◽  
Forward Scattering ◽  
Diffusion Equations ◽  
Transport Models ◽  
Photon Diffusion ◽  
Photon Transport

Background: Elucidation of the highly forward scattering of photons in random media such as biological tissue is crucial for further developments of optical imaging using photon transport models. We evaluated length and time scales of the photon scattering in three-dimensional media. Methods: We employed analytical solutions of the time-dependent radiative transfer, M-th order delta-Eddington, and photon diffusion equations (RTE, dEM, and PDE). We calculated the fluence rates at different source-detector distances and optical properties. Results: We found that the zeroth order dEM and PDE, which approximate the highly forward scattering to the isotropic scattering, are valid in longer length and time scales than approximately 10 / μ t ′ and 40 / μ t ′ v , respectively, where μ t ′ is the reduced transport coefficient and v the speed of light in a medium. The first and second order dEM, which approximate the highly forward-peaked phase function by the first two and three Legendre moments, are valid in the longer scales than approximately 4.0 / μ t ′ and 6.3 / μ t ′ v ; 2.8 / μ t ′ and 3.5 / μ t ′ v , respectively. The boundary conditions less influence the length scales, while they reduce the times scales from those for bulk at the longer length scale than approximately 4.0 / μ t ′ . Conclusion: Our findings are useful for constructions of accurate and efficient photon transport models. We evaluated length and time scales of the highly forward scattering of photons in various kinds of three-dimensional random media by analytical solutions of the radiative transfer, M-th order delta-Eddington, and photon diffusion equations.

Photon diffusion coefficient in scattering and absorbing media

2006 ◽  
Vol 23 (5) ◽  
pp. 1106 ◽  
Author(s):  
Romain Pierrat ◽  
Jean-Jacques Greffet ◽  
Rémi Carminati
Keyword(s):  
Diffusion Coefficient ◽  
Photon Diffusion ◽  
Absorbing Media

Annealed versus quenched diffusion coefficient in random media

1989 ◽  
Vol 40 (13) ◽  
pp. 9427-9430 ◽  
Author(s):  
Pierre Le Doussal ◽  
Jonathan Machta
Keyword(s):  
Diffusion Coefficient ◽  
Random Media

Does the photon-diffusion coefficient depend on absorption?

1997 ◽  
Vol 14 (12) ◽  
pp. 3358 ◽  
Author(s):  
T. Durduran ◽  
A. G. Yodh ◽  
B. Chance ◽  
D. A. Boas
Keyword(s):  
Diffusion Coefficient ◽  
Photon Diffusion
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