Scattering plane

Each of the resonances appearing in the spectra are identified and characterized by the type (TE or TM), mode number n, and mode order 5 (i.e., TE J. Allowances were made in the fit for a small amount of scattered light polarized perpendicular to the scattering plane (due to imperfect alignment of the polarizer) and a small change in the particle radius due to evaporation during the experiment. Once the resonances are identified there are no adjustable parameters in the simulation of an excitation spectrum of a... 

Equation (3) is valid when the dimensions of the particle are less than the wavelength of the light and the concentration is sufficiently small. These limits are given in Eq. (3 ). Eurthermore the light of the primary beam has to be vertically polarized. The scattered light that enters the detector is the sum of the two contributions and Yy which corresponds to the scattered light with an analyzer vertically oriented to the scattering plane (i.e., parallel to the polarization direction of the primary beam) and horizontally oriented, respectively. Eor branched structures the Yy contribution is very small and can be... 

The scattering functions S, and S2 are particularly useful for interpreting experimental data. For incident light polarized parallel to the scattering plane, typically chosen to be the horizontal plane for which = 90°, the ratio of the scattered irradiance to the incident irradiance is given by... 

Figure 5. FDCS for electrons emitted into the scattering plane for a fixed electron energy, Ek = 4 eV, and fixed magnitude of the momentum transfer (see eqn (6)) q = 0.65 a.u., as a function of the polar electron emission angle for 3.6 MeV amu Au +d-He collisions. The following notation is used experimental data of Fischer et al, — theoretical results. The six diagrams above represent the following models (a) FBA, (b) CDW-EIS, (c) CDW-EIS+nn, (d) CDW-EIS+RHF, (e) CDW-EIS Olivera, (f) CDW-EIS Bhattacharya. The polar radius of figures (a) to (f) is lOa.w.. ...

Figures 5, 6 and 7 represent various computer simulations pertaining to the FDCS for electrons emitted into the scattering plane in 3.6 MeV amu Au24+,53+ i jjg collisions. The experimental results are absolute with the theoretical data normalized to them. The results are shown in the form of polar plots with the FDCS plotted as polar radial functions of the scattering (polar) angle. The figures contain six different models, each of which has been labelled for discussion. The top left (a) is FBA, top middle (b) is CDW-EfS, without internuclear potential, top right (c) CDW-EfS+nn. The bottom left (d) is CDW-EfS with RffF wavefunctions (CDW-EfS+RHF),...

Figure 5 shows the FDCS for electrons emitted into the scattering plane in 3.6 MeV amu Au ++ He collisions at momentum transfer of q = 0.65 a.u. and electron energy Ek = 4, eV, where the momentum transfer q is defined by... 

The basis vector is parallel and is perpendicular to the scattering plane. Note, however, that Es and E, are specified relative to different sets of basis vectors. Because of the linearity of the boundary conditions (3.7) the amplitude of the field scattered by an arbitrary particle is a linear function of the amplitude of the incident field. The relation between incident and scattered fields is conveniently written in matrix form... 

If the incident light is 100% polarized parallel to a particular scattering plane (it makes no difference which scattering plane), the Stokes parameters of the scattered light are... 

Thus, the scattered light is also polarized perpendicular to the scattering plane. We denote by i the scattered irradiance per unit incident irradiance given that the incident light is polarized perpendicular to the scattering plane ... 

If the incident light is obliquely polarized at an angle of 45° to the scattering plane, the scattered light will, in general, be elliptically polarized, although the azimuth of the vibration ellipse need not be 45°. The amount of rotation of the azimuth, as well as the ellipticity, depends not only on the particle characteristics but also on the direction in which the light is scattered. 

Incident light polarized parallel to the scattering plane. 

The angular distribution of the scattered light (normalized to the forward direction) for incident light polarized parallel and perpendicular to the scattering plane and unpolarized is shown in Fig. 5.1 both linear and polar plots are given. 

The scattered irradiances per unit incident irradiance (dimensionless irradi-ances) for incident light parallel and perpendicular to the scattering plane are (omitting k2r2)... 

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