Scattering polarized

For a circularly polarized light experiment, one can measure the cross sections for either right (r) or left (1) polarized scattered light. Suppose that right polarized light is made incident on a Raman active sample. The general expressions for the Raman cross sections are [176]... 

Figure Bl.9.2. Resolution of a plane unpolarized incident beam into polarized scattering components.

The intensity of the vertically polarized scattered light is proportional to sin 0 which, in polar coordinates, is described by a figure 8-shaped curve centered at the origin and having maximum values of 1 at 0 = 90°, Because 0 is symmetrical with respect to the z axis, this component of scattered light is described in three dimensions by a doughnut-shaped surface in which the hole has shrunk to a point - centered symmetrically in the xy plane. 

The ix axis has been chosen in the iz-i plane this choice is arbitrary and serves to define the axis from which the polar scattering angle e is measured. Thus we have ... 

Fig. 1. Polar scattering diagram2 D Scattering envelopes according to the three LS theories for particles of increasing size but the same scattering power...

Figure 13.6 Polar scattering diagrams for equal-volume spheroids. The incident light is unpolarized. From Latimer et al. (1978).

Schwaizschild, B M. Polarized Scattering Data Challenge Quantum Chromodynamics, Physics Today. 38(8), 17-20 (August 1985). 

Only / -polarized scattered electric fields are considered in the... 

In previous works, Tse (6) used the spin-polarized scattering wave Xa... 

In a system for coherent forward scattering, the radiation of a primary source is led through the atom reservoir (a flame or a furnace), across which a magnetic field is applied. When the atom reservoir is placed between crossed polarizers scattered signals for the atomic species occur on a zero-background. When a line source such as a hollow cathode lamp or a laser is used, determinations of the respective elements can be performed. In the case of a continuous source, such as a xenon lamp, and a multichannel spectrometer simultaneous multielement determinations can also be performed. The method is known as coherent forward scattering atomic spectrometry [309, 310]. This approach has become particularly interesting since flexible multichannel diode array spectrometers have became available. 

In collision-induced Raman experiments laser light of wavenumber uo is scattered inelastically by the interacting atoms in the gas. The intensities of the depolarized and polarized scattered light are given by (33, 34),... 

At a given time, a totally polarized incident wave can only produce a totally polarized scattered wave. In fact, from eqn (6.3.61), we deduce the relation... 

H0R intensity of horizontally polarized scattered light 7p intensity of completely polarized scattered light... 

VERT intensity of vertically polarized scattered light 7S total intensity of scattered light... 

In a QELS experiment, the autocorrelation function of the polarized scattered field is measured with K as the scattering vector. The scattered field is proportional to the amplitude of the fluctuations of the local polymer concentration in the gel. These concentration fluctuations are related to the local deformation in the gel. 

The choice of P(/cross) as a statistical parameter for obtaining information is supported by the shape of its probability density function (PDF). This PDF has a maximum at /cross=0 and decreases very quickly as the intensity increases. It also may be observed that P(Icioss) remains finite even for values of /cross in excess of the mean of the cross-polarized scattered light () but the fluctuation of the values of / (/cross) increases. This means that some peaks of high cross-polarized intensity appear corresponding to cases in which the particles are close together. So, the values of /"(/cross) for /cross = 0 can be determined with the smallest relative error [5]. 

For comparison, we have calculated the statistical parameter n (second order factorial moment) for the PDF shown in Fig. 2 and Fig. 3. The scattering geometries are the same but the number of samples is higher (10 series of 10 positions). The results are shown in Fig. 4 and Fig. 5. In general, n is noisier and its relative errors are much higher than those of P(/cross = 0). For both scattering systems, the second moment of the co-polarized scattered intensity,... 

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