Double scattering

Double scattering path Single scattering path... 

T. Keyes, B. M. Ladanyi, and P, A. Madden. Is depolarized light scattered from simple liquids mainly double-scattered Chem. Phys. Lett., 64 479-484 (1979). 

More recently, McLoughlin et al. have suggested alternative models for the first three ordered phases based on double scattering LEED simulations... 

Figure 4. (a) Diagram of a non-relativistic double scatter neutron event in a plastic scintillator... 

The detection principle is also based on non-relativistic double scatterings of neutrons off ambient protons within a block of scintillating fibers. Using this doublescatter mode it is possible to uniquely determine neutron energy and... 

The resulting amplitude coincides with the single- and double-scattering contributions to the Watson series of multiple scattering (Watson 1953), implying that alternating interactions of the lepton with both ions vanish. 

Shaopu L, Zhongfang L. Spectra of resonant luminescence and double scattering of selenium(IV)-iodide-crystaI violet system. Chem J Chin Univ 1996 8 1213-5. 

Shaopu L, Zhongfang L, Ming L. Analytical application of double scattering spectra of ion-association complex. Acta Chim Sin 1995 12 1178-84. 

Figure 2.25 Geometry involved in the calculation of double scattering intensity.

Next, we look at the flux of the scattered beam due to double scattering. The flux reaching the volume element dV2, after having been scattered once at dV, is... 

Similarly, in the case of an unpolarized incident beam, the product of intensity functions, i(q )i(q2), in Equation (2.33) should include the polarization factor P2(q) for double scattering given by... 

Figure 2.26 The thick broken curve gives the single scattering intensity obtained with amorphous bulk polystyrene. The thin solid curves show the calculated double scattering intensities for samples of the indicated thickness placed in a symmetric transmission geometry. The single scattering intensity is referred to the scale on the left axis the double scattering intensities are referred to the expanded scale on the right axis.

V.P. Tishkovets, P.V. Litvinov, and M.V. Lyubchenko, Coherent opposition effects for semiinfinite discrete random medium in the double-scattering approximation, J. Quant. Spectrosc. Radiat. Transfer 72, 803-811 (2002). 

Imlfi ) = 0.000286. The dashed curves are for the double-scattering approximation, whereas the solid ones are computed with the account of the third-order scattering. The and are scattering matrix elements for an individual scatterer. 

Fig. 7. Diagrams of the amplitudes of the secondary electron emission from the core level (a) direct emission into the final state (b) single scattering process (c) double scattering process.

Fig. 9. Diagrams of the second-order process amplitudes (a) without scattering in the intermediate state with single and double scattering in the intermediate state, respectively.

In addition however, there is a background due to density fluctuations which must be subtracted from the total differential cross-section. A further complication, that of depolarization by double scattering near the critical point, has been pointed out recently by Oxtoby and Gelbart its eflFect on the analysis of results from binary mixtures has yet to be assessed. 

Recently, ultrasound imaging has been intensified using a single nanoparticle with double scattering/reflection properties. Zhang et al. developed a rattle-type mesoporous silica nanostructure with two contributing interfaces, that is, incident ultrasound will be scattered and reflected twice between these two interfaces in the nanoparticle [52]. 

Figure 25. L3 absorption edge of metallic platinum. The upper figure shows experimental data (solid line) and calculated spectrum (dashed line). The figure at bottom shows the calculated partition of the EXAFS single scattering contribution (solid line), double scattering contribution (short dashed line), and the triple scattering contribution (long dashed line.) (From Ref. 88.)...

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