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Rayleigh scattering revisited: From gases to crystals
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View: Figures


Image of Fig. 1.
Fig. 1.

Scattering of an incident field by particles aligned along the axis. The figure is not drawn to scale because . The bold arrow gives the propagation direction of the incident field, which is polarized in the direction. The origin of the coordinate system is at the midpoint of the line of scatterers.

Image of Fig. 2.
Fig. 2.

Particles placed on a line at random with nearest neighbors removed. It is clear from the figure that removal of nearest neighbors builds in correlation between particle positions.

Image of Fig. 3.
Fig. 3.

Graphs of the structure function as a function of for several values of : (a) , (b) , (c) , (d) . The approximate expression (24) is used for (a)–(c) and the exact expression (21) with is used for (d). A region of the order of about the origin is excluded because it is assumed that .

Image of Fig. 4.
Fig. 4.

Experimental curves of the structure factor for x-ray diffraction from rubidium (Ref. 16) [ corresponds to our ]. The lowest curve corresponds to a dense gas and the other curves to the liquid phase.

Image of Fig. 5.
Fig. 5.

The particles are divided into bins, each bin containing a large number of oscillators. The spatial phase factor is approximately constant for each particle within a given bin.

Image of Fig. 6.
Fig. 6.

particles randomly distributed over a wavelength distance. The sine wave is replaced by a square wave to illustrate the importance of the scattered signal on particle fluctuations.


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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Rayleigh scattering revisited: From gases to crystals