SCATTERING BY A PERFECTLY CONDUCTING CYLINDER IN A COMPRESSIBLE PLASMA

1964 ◽  
Vol 42 (3) ◽  
pp. 465-476 ◽  
Author(s):  
S. R. Seshadri ◽  
I. L. Morris ◽  
R. J. Mailloux
Keyword(s):  
Cross Sections ◽  
Plasma Frequency ◽  
P Wave ◽  
Wave Number ◽  
Compressible Plasma ◽  
Backscattering Cross Section ◽  
Scattering Cross Sections ◽  
Physical Quantities ◽  
Wave Incidence ◽  
Quantities Of Interest

The scattering of a plane electromagnetic (EM) or plasma (P) wave by a perfectly conducting and rigid circular cylinder immersed in an isotropic compressible plasma is treated. Expressions for all the physical quantities of interest are obtained in the form of infinite series. For the case of a plane EM wave incidence, numerical results for the current induced on the surface of the cylinder, the total scattering cross sections, and the backscattering cross section are obtained as a function of ke0a for various values of the plasma frequency, where a is the radius of the cylinder and keo is the wave number of the EM wave in free space.

THE SCATTERING OF A PLANE WAVE BY A ROW OF SMALL CYLINDERS

1960 ◽  
Vol 38 (2) ◽  
pp. 272-289 ◽  
Author(s):  
R. F. Millar
Keyword(s):  
Boundary Condition ◽  
Plane Wave ◽  
Integral Equations ◽  
Cross Sections ◽  
Simultaneous Equations ◽  
Wave Number ◽  
Algebraic Equations ◽  
Linear Algebraic Equations ◽  
Higher Order Terms ◽  
Scattering Cross Sections

Consideration is given to the scattering of a plane wave by N cylinders equispaced in a row. The problems associated with scatterers, both "soft" and "hard" in the acoustical sense, are treated. An application of Green's theorem together with the appropriate boundary condition on the cylinders leads to a set of simultaneous integral equations in the unknown function on the cylinders.Solutions in the form of series in powers of a small parameter δ (essentially the ratio of cylinder dimension to wavelength) are assumed. In the case of elliptic cylinders, the integral equations are reduced to sets of linear algebraic equations. Only for the first term in the solution for "soft" cylinders is it necessary to solve N simultaneous equations in N unknowns; all other equations involve essentially only one unknown. Far-fields and scattering cross sections are calculated. The case of two "soft" cylinders is given particular attention.Conditions for justification of the neglect of higher-order terms are discussed. It is found that all terms but the first (in either problem) may be neglected if [Formula: see text] and (N–1)/(ka) is sufficiently small. (Here a is the spacing between centers of adjacent cylinders, and k is the wave number.) For this reason these solutions are most useful when the number of cylinders is small.

Pressure and Density Dependence of the CH4 and N2 Raman Lines in an Equimolar CH4/N2 Gas Mixture

1992 ◽  
Vol 46 (3) ◽  
pp. 468-471 ◽  
Author(s):  
D. Fabre ◽  
B. Oksengorn
Keyword(s):  
Quantitative Analysis ◽  
Cross Sections ◽  
Pressure Range ◽  
Internal Field ◽  
Point Of View ◽  
Gas Mixture ◽  
Practical Point ◽  
Peak Areas ◽  
Scattering Cross Sections ◽  
Physical Quantities

Experiments have been performed to determine the variations of the peak area for the CH4 and N2 Raman lines along with their frequency shift and broadening, as a function of pressure and density, in the case of an equimolar CH4/N2 gas mixture. A comparison is made between the relative values of the Raman scattering cross sections for the two species and the values of the internal field term, versus density of the mixture, showing that the density dependences of these physical quantities become more dissimilar as density increases. Moreover, the ratio of the peak areas for the CH4 and N2 Raman lines is found to be constant in the entire pressure range used. From a practical point of view, these results for gas mixtures could be useful in quantitative analysis of fluid inclusions in rocks.

Current distribution on a thin cylindrical antenna immersed in an isotropic compressible plasma

1968 ◽  
Vol 46 (8) ◽  
pp. 1013-1017 ◽  
Author(s):  
Richard L. Monroe
Keyword(s):  
Current Distribution ◽  
Integrodifferential Equation ◽  
Free Space ◽  
Plasma Frequency ◽  
Propagation Constant ◽  
Wave Number ◽  
Compressible Plasma ◽  
Cylindrical Antenna ◽  
Space Wave

An integrodifferential equation is derived for the current distribution along a thin, hollow, center-driven, cylindrical, perfectly conducting antenna immersed in an isotropic, compressible plasma. On the basis of this equation it is shown that the current distribution approaches sinusoidal form as the radius of the antenna approaches zero. The propagation constant for this current is approximately equal to the free-space wave number for most frequencies greater than the plasma frequency.

Effect of melting heat transfer on peristalsis in the presence of thermal radiation and Joule heating

2015 ◽  
Vol 08 (06) ◽  
pp. 1550073 ◽  
Author(s):  
T. Hayat ◽  
Maimona Rafiq ◽  
B. Ahmad ◽  
H. Yasmin
Keyword(s):  
Heat Transfer ◽  
Thermal Radiation ◽  
Joule Heating ◽  
Heat Transfer Fluid ◽  
Wave Number ◽  
Melting Heat ◽  
Melting Heat Transfer ◽  
Small Wave Number ◽  
Physical Quantities ◽  
Quantities Of Interest

Mathematical model is developed for peristaltic flow of viscous fluid through a compliant wall channel subject to melting heat transfer. Fluid is incompressible and magnetohydrodynamic. Analysis has been performed in the presence of Joule heating and thermal radiation. Solutions for small wave number are obtained. Physical quantities of interest are examined for various parameters of interest.

scholarly journals Explicit Solutions to Single Scattering of SH Waves with a Radially Gradient Interphase Layer

2019 ◽  
Vol 2019 ◽  
pp. 1-7
Author(s):  
Jiading Bao ◽  
Jun Zhang ◽  
Longhai Zeng
Keyword(s):  
Linear Function ◽  
Cross Sections ◽  
Aluminum Matrix ◽  
Single Scattering ◽  
Current Approach ◽  
Wave Number ◽  
Sh Waves ◽  
Sic Fiber ◽  
First Case ◽  
Scattering Cross Sections

In this work, analytical solutions to the single scattering of horizontally polarized shear waves (SH) by cylindrical fibers with two specific radially gradient interphase layers are presented. In the first case, the shear modulus μr=e2βr and the square of wave number k2 is a linear function of 1/r; in the second case   μr=e−βr2 and k2 is a linear function of r2. As an example, we solve the single scattering of SH waves by a SiC fiber with the two interphase layers in an aluminum matrix. The calculated scattering cross sections are compared to values obtained by an approximate method (dividing the continuous varying layer into multiple homogeneous sublayers). The results indicate the current approach gives excellent performance.

Positron–Helium Scattering Cross Sections and Phase Shifts Below 19 eV: Addendum

1974 ◽  
Vol 52 (11) ◽  
pp. 1047-1049 ◽  
Author(s):  
B. Jaduszliwer ◽  
D. A. L. Paul
Keyword(s):  
Cross Sections ◽  
Cross Correlation ◽  
Phase Shifts ◽  
Phase Shift Analysis ◽  
P Wave ◽  
S Wave ◽  
Wave Phase ◽  
Shift Analysis ◽  
Scattering Cross Sections ◽  
Phase Phase

We have extended the phase shift analysis of our positron–helium transmission experiments to determine the importance of cross correlation between the s and p wave phase shifts in a previous paper. We have found out that using Humberston's s wave phase shifts with suitably modified p and d wave phase shifts leads to as good a fit to our experimental data as Drachman's s wave phase phase shifts. Preliminary values of total cross section are given in the 19 to 27 eV energy region.

Scattering of gravity waves by a circular dock

1968 ◽  
Vol 34 (4) ◽  
pp. 783-793 ◽  
Author(s):  
John Miles ◽  
Freeman Gilbert
Keyword(s):  
Circular Cylinder ◽  
Gravity Wave ◽  
Gravity Waves ◽  
Cross Sections ◽  
Lateral Force ◽  
Wave Number ◽  
Variational Approximation ◽  
Scattering Cross ◽  
Scattering Cross Sections

The scattering of a gravity wave of wave number k by a circular dock of radius a and draft d – h in water of depth d is calculated through a variational approximation. The total and differential scattering cross-sections, the peripheral displacement, and the lateral force on the dock are presented as functions of ka with d/a and h/d as parameters and compared with the classical results for a circular cylinder (h = 0). A pronounced resonance is found near ka = 2 for certain values of d/a and h/d.

Absolute inner-shell cross section determination for EELS analysis

1988 ◽  
Vol 46 ◽  
pp. 534-535
Author(s):  
P.A. Crozier
Keyword(s):  
Cross Section ◽  
Cross Sections ◽  
Absolute Cross Section ◽  
Specimen Thickness ◽  
Mass Thickness ◽  
Scattering Cross ◽  
Before And After ◽  
Estimated Error ◽  
Scattering Cross Sections ◽  
Electron Microscopist

Absolute inelastic scattering cross sections or mean free paths are often used in EELS analysis for determining elemental concentrations and specimen thickness. In most instances, theoretical values must be used because there have been few attempts to determine experimental scattering cross sections from solids under the conditions of interest to electron microscopist. In addition to providing data for spectral quantitation, absolute cross section measurements yields useful information on many of the approximations which are frequently involved in EELS analysis procedures. In this paper, experimental cross sections are presented for some inner-shell edges of Al, Cu, Ag and Au.Uniform thin films of the previously mentioned materials were prepared by vacuum evaporation onto microscope cover slips. The cover slips were weighed before and after evaporation to determine the mass thickness of the films. The estimated error in this method of determining mass thickness was ±7 x 107g/cm2. The films were floated off in water and mounted on Cu grids.

scholarly journals Towards fully nonperturbative computations of inelastic ℓN scattering cross sections from lattice QCD

2020 ◽  
Vol 102 (11) ◽  
Author(s):  
Hidenori Fukaya ◽  
Shoji Hashimoto ◽  
Takashi Kaneko ◽  
Hiroshi Ohki
Keyword(s):  
Lattice Qcd ◽  
Cross Sections ◽  
Scattering Cross ◽  
Scattering Cross Sections

scholarly journals Combining ADF-EDX scattering cross-sections for elemental quantification of nanostructures

2021 ◽  
Vol 27 (S1) ◽  
pp. 600-602
Author(s):  
Zezhong Zhang ◽  
Annick De Backer ◽  
Ivan Lobato ◽  
Sandra Van Aert ◽  
Peter Nellist
Keyword(s):  
Cross Sections ◽  
Scattering Cross ◽  
Scattering Cross Sections
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