Publications
Publications
Nearinfrared spectroscopy and imaging of tissue: Theory

A. Sassaroli, F. Zheng, M. Pierro, P. R. Bergethon,
and S. Fantini,
"Phase difference between lowfrequency oscillations
of cerebral deoxy and oxyhemoglobin concentrations
during a mental task," J. Innov. Opt. Health Sci
4, 151158 (2011).

F. Larusson, S. Fantini, and E. L. Miller,
"Hyperspectral image reconstruction for diffuse
optical tomography," Biomed. Opt. Express 2,
946965 (2011).

A. Sassaroli, F. Martelli, and S. Fantini,
"Perturbation theory for the diffusion equation by
use of the moments of the generalized temporal
pointspread function. III. Frequencydomain and
timedomain results," J. Opt. Soc. Am. A 27,
17231742 (2010).

F. Zheng, A. Sassaroli, and S. Fantini,
"Phasor
representation of oxy and deoxyhemoglobin
concentrations: what is the meaning of outofphase
oscillations as measured by nearinfrared
spectroscopy?" J. Biomed. Opt. (Letters) 15,
040512/13 (2010).

A. Sassaroli, F. Martelli, and S. Fantini,
"Higher order perturbation theory for
the diffusion equation in heterogeneous media: application to layered and slab
geometries," Appl. Opt. 48, D62D73 (2009).

A. Sassaroli, Y. Tong, C. Benes, and S. Fantini,
"Data analysis and statistical
tests for nearinfrared functional studies of the brain," Proc. SPIE 6850,
685012/16 (2008).
 A. Sassaroli, F. Martelli, and S. Fantini,
"Perturbation theory for the diffusion equation by
use of the moments of the generalized temporal
pointspread function. I. Theory," J. Opt. Soc. Am. A 23, 21052118 (2006).
 A. Sassaroli, F. Martelli, and S. Fantini,
"Perturbation theory for the diffusion equation by
use of the moments of the generalized temporal point
spread function. II. Continuouswave results,"
J. Opt. Soc. Am. A 23, 21192131 (2006).
 A. Sassaroli and S. Fantini,
"Comment on the modified BeerLambert law for
scattering media," Phys. Med. Biol. 49,
N255N257 (2004).
 E. Gratton and S. Fantini,
"Reflectance and transmittance spectroscopy," in
Lasers and current optical techniques in biology,"
Comprehensive Series in Photochemistry and
photobiology," Vol. 4, G. Palumbo and R. Pratesi,
Editors, (Royal Society of Chemistry, Cambridge, UK,
2004), pp. 211258.
 S. Fantini,
"A haemodynamic model for the physiological
interpretation of in vivo measurements of the
concentration and oxygen saturation of haemoglobin,"
Phys. Med. Biol. 47, N249N257 (2002).
 S. Fantini and M. A. Franceschini,
"FrequencyDomain Techniques for Tissue Spectroscopy
and Imaging," in Handbook of Optical
Biomedical Diagnostics, V. V. Tuchin, Ed., (SPIE
Press, Bellingham, WA, 2002), Chapter 7, pp.405453.
 S. Fantini and E. Gratton,
"Fluorescence PhotonDensity Waves in Optically
Diffusive Media," Opt. Comm. 173, 7379
(2000).
 M. A. Franceschini, S. Fantini, A. E. Cerussi,
B. Barbieri, B. Chance, and E. Gratton,
"Quantitative Spectroscopic Determination of
Hemoglobin Concentration and Saturation in a Turbid
Medium: Analysis of the Effect of Water Absorption,"
J. Biomed. Opt. 2, 147153 (1997).
 A. E. Cerussi, J. S. Maier, S. Fantini, M. A.
Franceschini, W. W. Mantulin, and E. Gratton,
"Experimental Verification of a Theory for the
TimeResolved Fluorescence Spectroscopy of Thick
Tissues," Appl. Opt. 36, 116124 (1997).
 S. Fantini, M. A. Franceschini, and E. Gratton,
"Effective Source Term in the Diffusion Equation for
Photon Transport in Turbid Media," Appl. Opt. 36, 156163 (1997).
 S. A. Walker, S. Fantini, and E. Gratton,
"Image Reconstruction Using BackProjection from
FrequencyDomain Optical Measurements in Highly
Scattering Media," Appl. Opt. 36, 170179
(1997).
 S. A. Walker, S. Fantini, and E. Gratton,
"Effect of Index of Refraction Mismatch on the
Recovery of Optical Properties of Cylindrical
Inhomogeneities in an Infinite Turbid Medium,"
Proc. SPIE 2979, 219225 (1997).
 J. B. Fishkin, S. Fantini, M. J. vandeVen, and
E. Gratton,
"Gigahertz Photon Density Waves in a Turbid Medium:
Theory and Experiments," Phys. Rev. E 53,
23072319 (1996).
 S. Fantini, M. A. Franceschini, S. A. Walker, J.
S. Maier, and E. Gratton,
"Photon Path Distributions in Turbid Media:
Applications for Imaging," Proc. SPIE 2389,
340349 (1995).
 S. Fantini, M. A. Franceschini, and E. Gratton,
"SemiInfiniteGeometry Boundary Problem for Light
Migration in Highly Scattering Media: a
FrequencyDomain Study in the Diffusion
Approximation," J. Opt. Soc. Am. B 11,
21282138 (1994).