By Fabrizio Martelli, Samuele Del Bianco, Andrea Ismaelli, Giovanni Zaccanti
This ebook offers foundational details on modeling gentle propagation via diffusive media, with distinct emphasis on organic tissue. A precis of the theoretical historical past on gentle propagation via diffusive media is supplied with the help of easy-to-use software program designed to calculate the suggestions of the diffusion equation. The booklet additionally presents: the elemental idea of photon shipping with the analytical suggestions of the diffusion equation for a number of geometries; distinctive insurance of the radiative move equation and the diffusion equation; the theories and the formulae according to the diffusion equation which were known for biomedical purposes; the overall options and the actual amounts essential to describe mild propagation via soaking up and scattering media; and, an outline of the software program supplied at the CD-ROM, in addition to the accuracy of the provided strategies. even if 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 numerous different purposes during which they are often used, together with agricultural items, woodland items, foodstuff items, plastic fabrics, pharmaceutical items, and so forth.
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Additional info for Light Propagation Through Biological Tissue and Other Diffusive Media: Theory, Solutions, and Software (SPIE Press Monograph Vol. PM193))
The values of the radius are indicated in the legend. Only the case r λ has a strong dependence of µs on λ (µs proportional to λ−4 ). 5µm). 5 Examples of Diffusive Media In this section, we provide some examples of diffusive media in daily life. In order to discuss diffusive media, we need a definition of the diffusive regime of propagation. As will be shown in Chapter 3, light propagation through turbid media can be described by the RTE. For many turbid materials, propagation can be described by a simpler but more approximate equation, the diffusion equation, for which relatively simple analytical solutions are available.
Glanzmann, “In vivo determination of the optical properties of muscle with time-resolved reflectance using a layered model,” Phys. Med. Biol. 44, 2689–2702 (1999). 25. P. Taroni, A. Pifferi, A. Torricelli, D. Comelli, and R. Cubeddu, “In vivo absorption and scattering spectroscopy of biological tissues,” Photochem. Photobiol. Sci. 2, 124–129 (2003). 26. A. N. Bashkatov, E. A. Genina, V. I. Kochubey, and V. V. Tuchin, “Optical properties of the subcutaneous adipose tissue in the spectral range 400-2500 nm,” Opt.
These results suggest that when propagation is dominated by multiple scattering, the most important parameter to describe the scattering properties of the medium is µs . This is confirmed by the results obtained when the diffusion approximation becomes applicable: In Sec. 6, we will show that photons undergoing many scattering events migrate in a diffusive regime that is fully characterized by the diffusion coefficient D = 1/(3µs ). It may be interesting to study how µs depends on the properties of scattering particles.