The classical reciprocity relation of radiative transfer fails for two points placed in regions having different indices ofrefraction. A modified reciprocity relation that involves the relative refractive index between the two points con-sidered was previously derived for the continuous wave (cw) radiative transfer equation and for the cw diffusionequation (DE) [J. Opt. Soc. Am. A 14, 486 (1997)]. In this paper, we extend these findings to the time-dependent DEand we discuss some implications to diffuse optical tomography.
Modified reciprocity relation for the time dependent diffusion equation
Fabrizio Martelli
;Samuele Del Bianco;
2015
Abstract
The classical reciprocity relation of radiative transfer fails for two points placed in regions having different indices ofrefraction. A modified reciprocity relation that involves the relative refractive index between the two points con-sidered was previously derived for the continuous wave (cw) radiative transfer equation and for the cw diffusionequation (DE) [J. Opt. Soc. Am. A 14, 486 (1997)]. In this paper, we extend these findings to the time-dependent DEand we discuss some implications to diffuse optical tomography.File in questo prodotto:
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