Scientific article

Modified reciprocity relation for the time-dependent diffusion equation

Publication date2015

The classical reciprocity relation of radiative transfer fails for two points placed in regions having different indices of refraction. A modified reciprocity relation that involves the relative refractive index between the two points considered was previously derived for the continuous wave (cw) radiative transfer equation and for the cw diffusion equation (DE) [J. Opt. Soc. Am. A 14, 486 (1997) [CrossRef] ]. In this paper, we extend these findings to the time-dependent DE and we discuss some implications to diffuse optical tomography.

Citation (ISO format)
MARTELLI, Fabrizio et al. Modified reciprocity relation for the time-dependent diffusion equation. In: Journal of the Optical Society of America. A, Optics, image science, and vision, 2015, vol. 32, n° 4, p. 586. doi: 10.1364/JOSAA.32.000586
ISSN of the journal1084-7529

Technical informations

Creation07/07/2015 5:59:00 PM
First validation07/07/2015 5:59:00 PM
Update time03/14/2023 11:27:17 PM
Status update03/14/2023 11:27:17 PM
Last indexation01/16/2024 6:31:01 PM
All rights reserved by Archive ouverte UNIGE and the University of GenevaunigeBlack