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Improved solutions of the steady-state and the time-resolved diffusion equations for reflectance from a semi-infinite turbid medium

Kienle, Alwin, Patterson, Michael S.·1997·Journal of the Optical Society of America A

Abstract

Improved solutions of the diffusion equation for time-resolved and steady-state spatially resolved reflectance are investigated for the determination of the optical coefficients of semi-infinite turbid media such as tissue. These solutions are derived for different boundary conditions at the turbid-medium-air interface and are compared with Monte Carlo simulations. Relative reflectance data are fitted in the time domain, whereas relative and absolute reflectance are investigated in the steady-state domain. It is shown that the error in deriving the optical coefficients is, especially for steady-state spatially resolved reflectance, considerably smaller for the solutions under study than for the commonly used solutions. Analysis of experimental measurements of absolute steady-state spatially resolved reflectance confirms these results.

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Metadata

Authors
Kienle, A., & Patterson, M. S.
Venue
Journal of the Optical Society of America A
Published
1997-01-01
Volume
14
Issue
1
Pages
246
ISSN
  • 1084-7529 (ISSN-L)
  • 1520-8532
OpenAlex
W2147527166
Cited by
474
References
20
FWCI
13.98
Type
journal article
Language
en
Open access
closed

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CoChat. (2026). Citation check: Improved solutions of the steady-state and the time-resolved diffusion equations for reflectance from a semi-infinite turbid medium. https://app.cochat.ai/papers/10.1364/josaa.14.000246
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Kienle, A., & Patterson, M. S. (1997). Improved solutions of the steady-state and the time-resolved diffusion equations for reflectance from a semi-infinite turbid medium. Journal of the Optical Society of America A. https://doi.org/10.1364/josaa.14.000246

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