Scattering regimes

Very recently Husain et al.(12) obtained an analytical solution to the integral equation describing peak broadening for a turbidity detector in the Mie scattering regime. 

Harada, Y. and Asakura, T. (1996) Radiation forces on a dielectric sphere in the Rayleigh scattering regime. Opt. Commun., 124, 529-541. 

Figure 4.6. Independent and dependent scattering regime map particle size parameter versus volume fraction (from Tien and Drolen, 1987).

Fig. 15. Pictorial view of the scattering processes of the excited internal photoelectron determining the EXAFS oscillations (single-scattering regime) and the resonances in the XANES (multiple-scattering regime). From Bianconi (30).

Nevertheless one can idealize the fibril structure as a forest of isolated, cylinderical fibrils, all oriented perpendicular to the craze surfaces. Such an array of fibrils in the 5 to 10 nm size range should scatter X-rays strongly in the small angle scattering regime One expects to see the scattering as a disk in reciprocal space... 

Figure 33. Regions within the small angle scattering regime that are sensitive to differing types of stractures and organization. C.O.M. refers to center of mass region. From Hiemenz and Rajagopalan (1997), used by permission of Marcel-Dekker.

Fig. 5. Schematic view of the multiple scattering pathways in the EXAFS single scattering regime and in the XANES multiple scattering regime...

Z. Ivezic and M. P. Mengii , An Investigation of Dependent/Independent Scattering Regimes for Soot Particles Using Discrete Dipole Approximation, International Journal of Heat Mass Transfer, 39, pp. 811-822,1996. 

Benfatto M, Natoli CR, Bianconi A, Garcia J, Marcelh A, Fanfoni M, Davoli 1 (1986) Multiple scattering regime and higher order correlations in X-ray absorption spectra of liquid solutions. Phys Rev B34 5774-5781... 

The pedestal of the Doppler signal is obtained by applying a low-pass filter unit to the photodetector signal. As shown in Figure 7-3, the intensity of the scattered light depends in a characteristic way on particle size. From this relation three scattering regimes may be identified, where also the Mie-parameter, defined as a = JiDp(/l, is used to non-dimensionalize the particle... 

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