By Fabrizio Martelli, Samuele Del Bianco, Andrea Ismaelli, Giovanni Zaccanti

This ebook offers foundational info on modeling gentle propagation via diffusive media, with detailed emphasis on organic tissue. A precis of the theoretical historical past on mild propagation via diffusive media is supplied with the help of easy-to-use software program designed to calculate the strategies of the diffusion equation. The e-book additionally offers: the elemental concept of photon shipping with the analytical strategies of the diffusion equation for numerous geometries; specified insurance of the radiative move equation and the diffusion equation; the theories and the formulae in line with the diffusion equation which have been ordinary for biomedical purposes; the overall ideas and the actual amounts essential to describe gentle propagation via soaking up and scattering media; and, an outline of the software program supplied at the CD-ROM, besides the accuracy of the awarded strategies. even though the theoretical and computational instruments supplied with this e-book and CD-ROM have their basic use within the box of biomedical optics, there are various different functions during which they are often used, together with agricultural items, woodland items, nutrients items, plastic fabrics, pharmaceutical items, and so on.

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Extra info for Light Propagation Through Biological Tissue and Other Diffusive Media: Theory, Solutions, and Software (SPIE Press Monograph Vol. PM193))

Example text

46, where a spherical harmonic expansion is introduced for the radiance. In Appendix A, Eq. 25) is introduced using an intuitive physical reasoning. The second simplifying assumption assumes that the time variation of the diffuse flux vector J(r, t) over a time range ∆t = 1/(vµs ) is negligible with respect to the vector itself and can be expressed as7 1 ∂ J(r, t) ∂t vµs J(r, t) . 26) With Eq. 26), “slow” time variations of the flux are therefore assumed. , I(r, sˆ) = 1 3 Φ(r) + J(r) · sˆ. 27) In general, Eqs.

Bassi, E. Chikoidze, E. Giambattistelli, and R. Cubeddu, “Optical biopsy of bone tissue: a step toward the diagnosis of bone pathologies,” J. Biomed. Opt. 9, 474–480 (2004). 31. D. Comelli, A. Bassi, A. Pifferi, P. Taroni, A. Torricelli, R. Cubeddu, F. Martelli, and G. Zaccanti, “In vivo time-resolved reflectance spectroscopy of the human forehead,” Appl. Opt. 46, 1717–1725 (2007). 32. A. Torricelli, A. Pifferi, P. Taroni, E. Giambattistelli, and R. Cubeddu, “In vivo optical characterization of human tissues from 610 to 1010 nm by time-resolved reflectance spectroscopy,” Phys.

Depeursinge, “In vivo local determination of tissue optical properties: Applications to human brain,” Appl. Opt. 38, 4939–4950 (1999). 34. M. Johns, C. A. Giller, D. C. German, and H. Liu, “Determination of reduced scattering coefficient of biological tissue from a needle-like probe,” Opt. Exp. 13, 4828–4842 (2005). 35. A. Sassaroli, F. Martelli, Y. Tanikawa, K. Tanaka, R. Araki, Y. Onodera, and Y. Yamada, “Time-resolved measurements of in vivo optical properties of piglet brain,” Opt. Rev. 7, 420–425 (2000).

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