We have developed a theoretical model for photon migration through scattering media in the presence of an absorbing in homogeneity. 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.

Closed-form solution of the steady-state photon diffusion equation in the presence of absorbing inclusions / Esposito R.; Martelli F.; De Nicola S.. - In: OPTICS LETTERS. - ISSN 0146-9592. - ELETTRONICO. - 39:(2014), pp. 826-829. [10.1364/OL.39.000826]

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

Martelli F.
Membro del Collaboration Group
;
2014

Abstract

We have developed a theoretical model for photon migration through scattering media in the presence of an absorbing in homogeneity. 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.
39
826
829
Goal 3: Good health and well-being
Esposito R.; Martelli F.; De Nicola S.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2158/1194312
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