Thermophoresis of a cylindrical particle at small finite Péclet numbers

2020 ◽  
Vol 55 (1) ◽  
pp. 54-62
Author(s):  
Yu M. Tseng ◽  
Huan J. Keh
Keyword(s):  
Cylindrical Particle

Lateral resolution of the electron microbeam analysis

1978 ◽  
Vol 36 (1) ◽  
pp. 542-543
Author(s):  
H.J. Dudek
Keyword(s):  
Quantitative Analysis ◽  
Depth Resolution ◽  
Lateral Resolution ◽  
Cylindrical Particle ◽  
Correction Procedure ◽  
X Ray ◽  
Element Concentrations ◽  
Microbeam Analysis ◽  
The Matrix

The chemical inhomogenities in modern materials such as fibers, phases and inclusions, often have diameters in the region of one micrometer. Using electron microbeam analysis for the determination of the element concentrations one has to know the smallest possible diameter of such regions for a given accuracy of the quantitative analysis.In th is paper the correction procedure for the quantitative electron microbeam analysis is extended to a spacial problem to determine the smallest possible measurements of a cylindrical particle P of high D (depth resolution) and diameter L (lateral resolution) embeded in a matrix M and which has to be analysed quantitative with the accuracy q. The mathematical accounts lead to the following form of the characteristic x-ray intens ity of the element i of a particle P embeded in the matrix M in relation to the intensity of a standard S

scholarly journals Генерация второй гармоники от тонкого цилиндрического слоя. I. Аналитическое решение

2019 ◽  
Vol 126 (6) ◽  
pp. 724
Author(s):  
А.А. Шамына ◽  
В.Н. Капшай
Keyword(s):  
Second Harmonic Generation ◽  
Harmonic Generation ◽  
Second Harmonic ◽  
Plane Electromagnetic Wave ◽  
Finite Size ◽  
Cylindrical Layer ◽  
Dielectric Susceptibility ◽  
Cylindrical Particle ◽  
Susceptibility Tensor ◽  
Nonlinear Dielectric

In the Rayleigh–Gans–Debye approximation an analytical solution is obtained for the problem of second harmonic generation by a plane electromagnetic wave with elliptical polarization from a thin optically nonlinear layer on the surface of a cylindrical dielectric particle of finite size placed in a dielectric. The result is presented in tensor and vector forms in general case, in which the nonlinear dielectric susceptibility tensor has four independent components (one chiral and three non-chiral). For the first time it is shown that at generation from the end plane surfaces of a cylindrical particle the contribution of chiral components differs in phase from that of non-chiral components. It is also found that for small linear dimensions of the cylindrical particle (height and radius of the base), the radiation due to the chiral component of the second-order nonlinear dielectric susceptibility tensor makes a dominant contribution to the second harmonic generation from a non-linear cylindrical layer (end and side surfaces).

Effects of cylindrical particle properties on pile formation

2021 ◽  
pp. 1-10
Author(s):  
Xu Tian ◽  
Heng Zhou ◽  
Junren Qin ◽  
Wei Cao ◽  
Mingyin Kou ◽  
...  
Keyword(s):  
Cylindrical Particle ◽  
Particle Properties
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