Coherence length equation

The ratio a can be related to the measured ratio of the p-polarized second-harmonic intensities for s- and p- polarized fundamental lights, Pp/P,. Assuming that nx n2 and L the coherence length, the relation between the ratio a and Pp/P, is described as the following equation ... 

London Bullion Market Association, silver specifications by, 22 649 London coherence length, 23 806 London equations, 23 806 London-Norris equations, 23 845 London penetration depth, 23 805, 806 London s forces, 12 4 15 213 21 602-604 ... 

The thickness of the film prepared is much less than the coherence length, so the output intensity is a monotonic function of the incident angle, was calculated using the following equation(18),... 

Equations (3.2) and (3.4) apply to both resonant and nonresonant processes. For passive processes, first of all, the phase matching condition may not always be satisfied. For the phase mismatched case, Ak) 0, it is evident from Eq. (3.4) that VTf (r w ) oscillates along r with the period equal to the coherence length, Whenever VFf (r Wy) < 0, the signal... 

We find that a finite roughness of the calcite surface must be included to achieve quantitative agreement between the calculated and experimental reflectivities. We use the model described in Equation (20) (Robinson 1986) that assumes that the roughness is the result of individual monatomic steps within the (approximately micrometer-sized) lateral coherence length of these measurements. We found a surface roughness of 1.1 A. Independent atomic force microscopy measurements have shown that the step density of these calcite cleavage surfaces is very small (Sturchio et al. 1997). 

Though the crystallinity of cw-polyacetylene is remarkably high, there are strong indications of disorder. It is generally accepted that diffraction line broadening is a combined result of crystallite size and disorder in polyacetylene, A quantitative evaluation of the separate contributions is hardly feasible due to the limited number of separate reflections, but it is common practice to consider the number obtained from the Scherrer equation to be a diffraction coherence length rather than a crystallite size. No more than approximately 10 peaks are observed in diffraction, and there is considerable overlap of reflections.. The number of higher layer lines observable in oriented patterns is only... 

The XRD pattern of pure gum Arabica powder specimen is shown in Figure 12.3. It shows the overall amorphous nature of gum Arabica. The intensity peak corresponds to 26 = 18.893° is the peak in Radial Distribution Function (RDF). The Debye-Scherrer equation given in Equation 12.2 is employed to compute coherent length ... 

When the concentration of chain interruptions is sufficiently high such that the left hand side of equation 1.3 is small, then the wave function will be localised. The possible limits for the conductivity arise from the chain interruptions and/or phonon scattering. All the above factors suggest that in high-quality conducting polymers the electronic mean free path could be much larger than the structural coherence length and real metallic features could be observed. 

Width of the WAXD peak, (3 (measured by the full-width at half maximum), is inversely proportional to the coherence length of the scattering entities and therefore reflects the coherence order of the silicate layers. This can be calculated from Scherrer equation as follows ... 

There are two widths to the lamellar peak, the axial width in scans parallel to the fiber-axis and the transverse width in scans perpendicular to the fiber-axis. The axial width of the peak in longitudinal scans (Figure 2) is used to evaluate the coherence length or height of the lamellar stack (IJ using the Scherrer equation"... 

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