Intensity distribution function

It has been shown that the normalized intensity distribution function of... 

Many real angular intensity distribution functions have been found to closely approximate a Gaussian and for the remainder of this paper a Gaussian distribution will be used. It should be noted, however, that the angular deconvolution can be used on patterns from specimens with any form of disorientation function. For a Gaussian distribution, equation (2) becomes... 

After these preliminaries, one can introduce the intensity distribution function /s( kjni, kin2) for electron pairs created in the source volume (subscript s ) with kinetic energies kinl and kin2. For direct double photoionization one obtains... 

The intensity calculation is based on the knowledge of qKpr), the primary X-ray intensity distribution function as a function of mass depth pz (Fig. 8.9). Some experimental calculations of (iKp ) have been conducted using the tracer method proposed by Castaing. These measurements have only covered a limited number of experimental situations but have enabled adjustment of the parameters used in simulations by the Monte Carlo method or matrix effect correction models using a parameterisation of the function [Pg.164]

The light coupled out of the two branches generates an interference pattern on a screen or CCD detector with a cosine intensity distribution function. The phase difference of the two interfering rays is given by ... 

If the spectrum is discrete, the intensity distribution function may be represented as... 

Malkmus, W., Random Lorentz band model with exponential-tailed S-l line intensity distribution function. J Opt Soc Amer 57, 323, 1967. 

IDENTIFICATION OF NON-MDO POLYTYPES THE PERIODIC INTENSITY DISTRIBUTION FUNCTION... 

The extrema of I(6), i.e. the minima and maxima, are found on differentiation, dl d)/du =0. As a result, the locations of the minima Mmin in the intensity distribution function are found when sin(t<) = 0 this could have been guessed immediately from Equation (10.7). The zero-locations in the intensity distribution function 1(0) are at... 

From this, the angle 0m for consecutive minima can be derived. A similarly simple relation for the locations of the maxima Wmax does not exist, because they are encountered when tan(w) = w this is a transcendental equation and can only be solved graphically or numerically. The observed diffraction pattern and the intensity distribution function 1(0) are plotted on the right of Figure 10.16 numerical values for the locations of a few maxima are included in the plot. 

From a series of simulation snapshots, artificial images, similar to those created in actual experiments, have been created. The script used for the generation of these images, overlays a Gaussian intensity distribution function I x,y,z) as function of the particle diameter dp for every particle, whose exact position (Xi,yi,Zi) is known from the DPM simulation ... 

Figure 4.11 Schematic of the different intensity distribution functions. Reprinted from De Jong et al. (2012a) with permission from Elsevier.

The values found for B do not differ much (maximum difference less than 2%), from which it can be concluded that the type of intensity distribution function used to generate the artificial images from the DPM is not important for high values of 20 (dense part of the bed). Differences arise for the dilute regions. 

Table 4.2 Fitting Results for A and B Parameters for the Intensity-Porosity Correlation Based on All Series of Simulations Intensity Distribution Function Used...

To some extent, the intensity distribution function used to generate the artificial images influences fitting parameter of this correlation. This influence concerns in particular the dilute regions of the fluidized bed. Also, the correlation is influenced by the bed depth in this case, both fitting parameters (and thus both the dilute and dense parts of the bed) are affected. 

Fig.6.11. Universal intensity distribution function for synchrotron radiation...

SANS and LS experiments, In general, SANS intensity distribution function can be decomposed into an intra-particle structure factor and an inter-particle structure factor. An explicit polymer segment distribution profile, called a Cap-and-Gown model, has been proposed for the calculation of the intra-particle structure factor and an analytical expression fcv the inter-particle structure ctc - based on an adhesive hru-d spho% model is given,... 

We define an intensity distribution function to be the ray power per unit solid angle of ray directions, per unit area of core cross-section, by analogy with Eq. (4-1). Accordingly, the power incident per unit area of the scatterer in Fig. 5-7(b) is IJcos 0, where is the angle between the incident ray and the... 

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