The scattering cross-section of an obstacle in an elastic solid for plane harmonic waves

1965 ◽  
Vol 61 (4) ◽  
pp. 969-981 ◽  
Author(s):  
P. J. Barratt ◽  
W. D. Collins
Keyword(s):  
Cross Section ◽  
Scattering Amplitude ◽  
Three Dimensional ◽  
Elastic Solid ◽  
Scattering Cross Section ◽  
Harmonic Waves ◽  
Far Field ◽  
Scattering Cross ◽  
Plane Harmonic Waves

AbstractIt is shown that, when a plane harmonic P or S wave is incident upon a two-or three-dimensional obstacle in an infinite elastic solid, the scattering cross-section of the obstacle can be calculated from an appropriate far-field scattering amplitude.

BACKSCATTERING FROM A CONDUCTING CYLINDER WITH A SURROUNDING SHELL

1960 ◽  
Vol 38 (12) ◽  
pp. 1665-1676 ◽  
Author(s):  
M. A. Plonus
Keyword(s):  
Cross Section ◽  
Propagation Constant ◽  
Scattering Cross Section ◽  
Graphical Form ◽  
Far Field ◽  
Scattering Cross ◽  
Conducting Cylinder ◽  
Incident Plane ◽  
Section Versus ◽  
Field Coefficient

Far-field backscattering from a perfectly conducting cylinder with a surrounding shell has been investigated. The spacing of the shell from the cylinder and thickness of the shell are arbitrary. The material in the shell is also arbitrary and is characterized by the propagation constant h. The incident plane wave is at right angles to the cylinder, and is either horizontally or perpendicularly polarized. When the shell is thin in units of wavelength a much simpler expression for the backscattered field coefficient is obtained. It was possible to express this coefficient in a form which resembles the coefficient from the conducting cylinder alone plus a perturbation term due to the shell. Another simplification resulted when the propagation constant h of the shell is much larger than the free-space propagation constant k.It was desirable to see what scattering properties a cylinder with a surrounding shell exhibits. The cylinder was chosen to be large with respect to wavelength and the shell spaced a resonant distance from the cylinder. The scattering cross section, for this particular combination of parameters was then given by a slowly converging series which proved too lengthy for hand-computation, and was then programmed for and computed by the IBM 704. The scattering cross section versus shell spacing is shown in graphical form.

The influence of drift flow turbulence on surface gravity wave propagation

1994 ◽  
Vol 262 ◽  
pp. 141-156 ◽  
Author(s):  
A. L. Fabrikant ◽  
M. A. Raevsky
Keyword(s):  
Cross Section ◽  
Scattering Amplitude ◽  
Vertical Component ◽  
Angular Spectrum ◽  
Scattering Cross Section ◽  
Surface Gravity ◽  
Angular Width ◽  
Surface Gravity Wave ◽  
Scattering Cross ◽  
Coherent Wave

The theory of surface gravity waves scattering at vortex flows in the ocean is developed in this paper. A scattering amplitude is found in the Born approximation as a function of vorticity which appears very convenient for investigation of scattering at simple localized flows. It is shown that the wave scattering cross-section is determined by the vertical component of vorticity. For a random (turbulent) vortex field the scattering cross-section per unit voume is determined by a vorticity correlation function. The damping of the coherent wave component and the angular spectrum widening are calculated for multiple scattering by vortex turbulence of drift flows. The spectrum angular width evolution for waves scattered at self-similar vortices of the logarithmic boundary layer is determined only by its dynamical speed and the wave vector. The latter result may be used for a remote sensing of oceanic turbulent drift flows based on observations of surface waves.

scholarly journals Role of an Electron Screened Mott - Schwinger Interaction in the Elastic Scattering of Neutrons

1996 ◽  
Vol 49 (3) ◽  
pp. 633 ◽  
Author(s):  
N Alexander ◽  
K Amos
Keyword(s):  
Cross Section ◽  
Cross Sections ◽  
Scattering Amplitude ◽  
Nuclear Interaction ◽  
Electron Cloud ◽  
Scattering Cross Section ◽  
Scattering Cross ◽  
Total Scattering Cross Section ◽  
Scattered Neutrons

The Mott–Schwinger potential arising from the interaction of the magnetic moment of a neutron incident upon the (electric) field of a nucleus has a profound effect upon the cross sections for scattering. The purely nuclear interaction (hadronic plus Mott–Schwinger) leads to a divergence in the spin–flip scattering amplitude at 0° scattering and thus to a divergent total scattering cross section. We demonstrate that the screening of this interaction caused by the atomic electron cloud essentially compensates that divergence so that the scattering cross-section values, to be used for example in reactor moderation calculations, are effectively those given by calculations made without consideration of any Mott–Schwinger potential. However, the forward scattered neutrons remain strongly polarised as a result of the (complete) Mott–Schwinger interaction.

scholarly journals Two dimensional dipolar coupling in monolayers of silver and gold nanoparticles on a dielectric substrate

Nanoscale ◽  
2014 ◽  
Vol 6 (20) ◽  
pp. 12080-12088 ◽  
Author(s):  
Yu Liu ◽  
Sylvie Begin-Colin ◽  
Benoît P. Pichon ◽  
Cedric Leuvrey ◽  
Dris Ihiawakrim ◽  
...  
Keyword(s):  
Gold Nanoparticles ◽  
Cross Section ◽  
Surface Plasmon ◽  
Dipolar Coupling ◽  
Three Dimensional ◽  
Dielectric Substrate ◽  
Scattering Cross Section ◽  
Two Dimensional ◽  
Silver And Gold Nanoparticles ◽  
Scattering Cross

This work reports about nanoparticle dipolar effects and substrate to nanoparticle interaction by modeling the surface plasmon scattering cross-section on experimental two dimensional monolayers versus three dimensional randomly distributed assemblies.

scholarly journals Free Scattering Theory in Circularly Polarized Laser Field

2017 ◽  
Vol 4 (1) ◽  
pp. 78
Author(s):  
Kishori Yadav ◽  
Jeevan Jyoti Nakarmi ◽  
Sanam Maharjan
Keyword(s):  
Kinetic Energy ◽  
Cross Section ◽  
Laser Field ◽  
Scattering Amplitude ◽  
Scattering Cross Section ◽  
Hydrogen Atoms ◽  
Circularly Polarized ◽  
Differential Scattering Cross Section ◽  
Scattering Cross ◽  
Elastic Scattering Amplitude

<p class="Default">In the present study, we have investigated scattering of an electron by hydrogen atoms in the presence of the Circularly Polarized (CP) laser field. We have discussed the polarization effect of laser field on hydrogen atom and effect of the resulted polarized potential on differential scattering cross section is studied. We assumed the scattered electrons having kinetic energy 100 eV because it permitted to treat the scattering process in first order Born Approximation. The scattering electron was described by Volkov wave function. We found the differential scattering cross section decreases with the increase in scattering angle, for a fixed value of a laser parameters and kinetic energy of an incident electron. From this study we found that, the differential scattering cross section for the electric field perpendicular to the direction of momentum transfer depends on the elastic scattering amplitude. Finally, we concluded that the differential scattering cross section greatly depends upon the polarization of the laser field.</p><p><strong>Journal of Nepal Physical Society</strong><br />Volume 4, Issue 1, February 2017, Page: 78-87</p>

Mass Determination by Direct Measurement of Electron Scattering

1975 ◽  
Vol 33 ◽  
pp. 240-241
Author(s):  
M. K. Lamvik ◽  
A. V. Crewe
Keyword(s):  
Cross Section ◽  
Electron Scattering ◽  
Mass Density ◽  
Variable Mass ◽  
Scattering Cross Section ◽  
Mass Determination ◽  
Number Density ◽  
Cross Sectional ◽  
Thin Slice ◽  
Scattering Cross

If a molecule or atom of material has molecular weight A, the number density of such units is given by n=Nρ/A, where N is Avogadro's number and ρ is the mass density of the material. The amount of scattering from each unit can be written by assigning an imaginary cross-sectional area σ to each unit. If the current I0 is incident on a thin slice of material of thickness z and the current I remains unscattered, then the scattering cross-section σ is defined by I=IOnσz. For a specimen that is not thin, the definition must be applied to each imaginary thin slice and the result I/I0 =exp(-nσz) is obtained by integrating over the whole thickness. It is useful to separate the variable mass-thickness w=ρz from the other factors to yield I/I0 =exp(-sw), where s=Nσ/A is the scattering cross-section per unit mass.

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