High-energy asymptotic expansion of the Green’s function for forward scattering

1964 ◽  
Vol 34 (3) ◽  
pp. 795-798 ◽  
Author(s):  
N. Nakanishi
Keyword(s):  
Asymptotic Expansion ◽  
Green’S Function ◽  
Green's Function ◽  
High Energy ◽  
Forward Scattering

Parabolic Representations of Scattering Green’s Functions

1999 ◽  
Author(s):  
Paul E. Barbone
Keyword(s):  
Asymptotic Expansion ◽  
Wave Equation ◽  
Green’S Function ◽  
Inhomogeneous Medium ◽  
Green's Function ◽  
Free Space ◽  
Green's Functions ◽  
Green’S Functions

Abstract We derive a one-way wave equation representation of the “free space” Green’s function for an inhomogeneous medium. Our representation results from an asymptotic expansion in inverse powers of the wavenumber. Our representation takes account of losses due to scattering in all directions, even though only one-way operators are used.

On the asymptotic expansion of the static Green's function in cubic crystals

1970 ◽  
Vol 236 (1) ◽  
pp. 14-20 ◽  
Author(s):  
N. Angelescu ◽  
D. Grecu ◽  
G. Nenciu
Keyword(s):  
Asymptotic Expansion ◽  
Green’S Function ◽  
Green's Function ◽  
Cubic Crystals

Simulation of Rapid Heating in Fusion Reactor First Walls Using the Green’s Function Approach

1984 ◽  
Vol 106 (3) ◽  
pp. 486-490 ◽  
Author(s):  
A. M. Hassanein ◽  
G. L. Kulcinski
Keyword(s):  
Finite Difference ◽  
Finite Difference Method ◽  
Green’S Function ◽  
Green's Function ◽  
Difference Method ◽  
Moving Boundary ◽  
Rapid Heating ◽  
High Energy ◽  
Advantages And Disadvantages ◽  
The Finite Difference Method

The solution of the heat conduction probem in moving boundary conditions is very important in predicting accurate thermal behavior of materials when very high energy deposition is expected. Such high fluxes are encountered on first wall materials and other components in fusion reactors. A numerical method has been developed to solve this problem by the use of the Green’s function. A comparison is made between this method and a finite difference one. The comparison in the finite difference method is made with and without the variation of the thermophysical properties with temperature. The agreement between Green’s function and the finite difference method is found to be very good. The advantages and disadvantages of using the Green’s function method and the importance of the variation of material thermal properties with temperature are discussed.

Real-space Green's-function approach within RHEED

1999 ◽  
Vol 55 (2) ◽  
pp. 133-142
Author(s):  
P. M. Derlet ◽  
A. E. Smith
Keyword(s):  
Green’S Function ◽  
Density Of States ◽  
Green's Function ◽  
Local Density ◽  
Perturbation Expansion ◽  
Surface Region ◽  
High Energy ◽  
Real Space ◽  
Resonance Phenomenon ◽  
Total Density

Green's-function techniques are used to obtain a real-space series solution for the elastic reflection high-energy electron diffraction (RHEED) from a crystalline surface. A renormalized perturbation expansion due to potential self-scattering is developed for the local real-space Green's function. With the Pt (111) surface as an example, numerical results are obtained for reflection coefficients and intensities. In particular, calculations are performed to obtain the local density of states at and near the surface region. Total density-of-states calculations are also performed. These provide a basis for a discussion of the form of resonant electronic Green's functions that can be used to describe the surface resonance phenomenon within RHEED.

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