Green Function of the Point Source Inside/Outside Spherical Domain - Approximate Solution

2016 ◽  
pp. 79-98 ◽  
Author(s):  
Nenad Cvetković ◽  
Miodrag Stojanović ◽  
Dejan Jovanović ◽  
Aleksa Ristić ◽  
Dragan Vučković ◽  
...  
Keyword(s):  
Approximate Solution ◽  
Green Function ◽  
Point Source ◽  
Spherical Domain

Free Surface Green Function Research Based on Cloud Computing for Ship Movement on the Water

2013 ◽  
Vol 344 ◽  
pp. 27-30
Author(s):  
Cong Zhang ◽  
Xin Wang ◽  
Jie Zhao ◽  
She Sheng Zhang
Keyword(s):  
Cloud Computing ◽  
Free Surface ◽  
Green Function ◽  
Point Source ◽  
Calculation Procedure ◽  
Green Functions ◽  
Two Dimensional ◽  
Surface Green Function ◽  
Cloud Computation ◽  
Control Equation

In order to easy use Green function on cloud computation, the author consider control equation of point source with free surface, and discuss the representation of Green function on cloud computation, and then propose the discrete calculation expression as well as the calculation procedure. Finally, the two-dimensional graphics of the Green functions real and imaginary parts are plotted.

Time-Domain Green Function Corresponding to a Time-Harmonic Point Source in Complex Space

1990 ◽  
Vol 10 (3) ◽  
pp. 313-325 ◽  
Author(s):  
Ismo V. Lindell ◽  
Keijo I. Nikoskinen
Keyword(s):  
Green Function ◽  
Point Source ◽  
Time Domain ◽  
Complex Space ◽  
Time Harmonic

A Green Function of Vertical Interfacial Point Source SH Wave Scattering by a Circular Lining in an Elastic Quarter Space

2014 ◽  
Vol 644-650 ◽  
pp. 1569-1572
Author(s):  
Hui Qi ◽  
Guang Long Luo ◽  
Xiang Nan Pan ◽  
Chun Gao
Keyword(s):  
Wave Function ◽  
Green Function ◽  
Point Source ◽  
Expansion Method ◽  
Steady State Solution ◽  
Stationary Wave ◽  
Image Method ◽  
Basic Solution ◽  
Displacement Fields ◽  
Quarter Space

An anti-plane Green function is formulated for steady state solution of a circular lining impacted by a vertical interfacial point source in an elastic quarter space. Series forms of scattering and stationary wave of the circular lining are constructed with Fourier wave function expansion method. Basic solution of the anti-plane point source is employed to represent displacement fields of incident wave. Stress-free conditions on the quarter bounds are satisfied by using image method. Displacement and stress continuity conditions of the lining are expanded as Fourier series to determine definite equations of unknown coefficients of wave function series.

Electron correlations in narrow energy bands

1963 ◽  
Vol 276 (1365) ◽  
pp. 238-257 ◽  
Keyword(s):  
Approximate Solution ◽  
Green Function ◽  
Approximate Model ◽  
Function Technique ◽  
Electron Correlations ◽  
Energy Bands ◽  
Hartree Fock ◽  
Correlation Problem ◽  
Main Effects ◽  
London Model

It is pointed out that one of the main effects of correlation phenomena in d - and f -bands is to give rise to behaviour characteristic of the atomic or Heitler-London model. To investigate this situation a simple, approximate model for the interaction of electrons in narrow energy bands is introduced. The results of applying the Hartree-Fock approximation to this model are examined. Using a Green function technique an approximate solution of the correlation problem for this model is obtained. This solution has the property of reducing to the exact atomic solution in the appropriate limit and to the ordinary uncorrelated band picture in the opposite limit. The condition for ferromagnetism of this solution is discussed. To clarify the physical meaning of the solution a two-electron example is examined.

Time domain Green function technique for a point source over a dissipative stratified half-space

Radio Science ◽  
1993 ◽  
Vol 28 (4) ◽  
pp. 513-526 ◽  
Author(s):  
Sailing He ◽  
Anders Karlsson
Keyword(s):  
Green Function ◽  
Point Source ◽  
Half Space ◽  
Time Domain ◽  
Function Technique

XRMF applications of a monolithic, polycapillary, focusing x-ray optic

1996 ◽  
Vol 54 ◽  
pp. 240-241
Author(s):  
D. A. Carpenter ◽  
Ning Gao ◽  
G. J. Havrilla
Keyword(s):  
Trace Elements ◽  
Point Source ◽  
Focal Spot ◽  
Fluorescence Analysis ◽  
X Rays ◽  
Focal Distance ◽  
Spot Diameter ◽  
X Ray ◽  
Focal Spot Diameter

A monolithic, polycapillary, x-ray optic was adapted to a laboratory-based x-ray microprobe to evaluate the potential of the optic for x-ray micro fluorescence analysis. The polycapillary was capable of collecting x-rays over a 6 degree angle from a point source and focusing them to a spot approximately 40 µm diameter. The high intensities expected from this capillary should be useful for determining and mapping minor to trace elements in materials. Fig. 1 shows a sketch of the capillary with important dimensions.The microprobe had previously been used with straight and with tapered monocapillaries. Alignment of the monocapillaries with the focal spot was accomplished by electromagnetically scanning the focal spot over the beveled anode. With the polycapillary it was also necessary to manually adjust the distance between the focal spot and the polycapillary.The focal distance and focal spot diameter of the polycapillary were determined from a series of edge scans.

Surface fields excited by a vertical electric point source located on a conducting concave spherical surface

1981 ◽  
Vol 64 (9) ◽  
pp. 79-88 ◽  
Author(s):  
Kazuyoshi Inami ◽  
Kunio Sawaya ◽  
Yasuto Mushiake
Keyword(s):  
Point Source ◽  
Spherical Surface ◽  
Surface Fields
Sign in / Sign up

Export Citation Format

Share Document