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Optics Letters

Optics Letters


  • Editor: Xi-Cheng Zhang
  • Vol. 39, Iss. 4 — Feb. 15, 2014
  • pp: 826–829

Closed-form solution of the steady-state photon diffusion equation in the presence of absorbing inclusions

Rosario Esposito, Fabrizio Martelli, and Sergio De Nicola  »View Author Affiliations

Optics Letters, Vol. 39, Issue 4, pp. 826-829 (2014)

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We have developed a theoretical model for photon migration through scattering media in the presence of an absorbing inhomogeneity. A closed-form solution for the average diffuse intensity has been obtained through an iterative approximation scheme of the steady-state diffusion equation. The model describes absorbing defects in a wide range of values. Comparisons with the results of Monte Carlo simulations show that the error of the model is lower than 3% for size inclusion lower than 4 mm and absorption contrast up to the threshold value of the “black defect.” The proposed model provides a tractable mathematical basis for diffuse optical and photoacoustic tomographic reconstruction techniques.

© 2014 Optical Society of America

OCIS Codes
(110.7050) Imaging systems : Turbid media
(170.3010) Medical optics and biotechnology : Image reconstruction techniques
(170.3660) Medical optics and biotechnology : Light propagation in tissues
(170.3880) Medical optics and biotechnology : Medical and biological imaging
(170.5280) Medical optics and biotechnology : Photon migration
(170.6510) Medical optics and biotechnology : Spectroscopy, tissue diagnostics

ToC Category:
Medical Optics and Biotechnology

Original Manuscript: October 18, 2013
Revised Manuscript: December 11, 2013
Manuscript Accepted: December 26, 2013
Published: February 6, 2014

Virtual Issues
Vol. 9, Iss. 4 Virtual Journal for Biomedical Optics

Rosario Esposito, Fabrizio Martelli, and Sergio De Nicola, "Closed-form solution of the steady-state photon diffusion equation in the presence of absorbing inclusions," Opt. Lett. 39, 826-829 (2014)

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