A scattering problem by means of the spectral representation of Green's function for a layered acoustic half-space

2000 ◽  
Vol 25 (5) ◽  
pp. 477-488 ◽  
Author(s):  
T. Touhei
Keyword(s):  
Green’S Function ◽  
Half Space ◽  
Green's Function ◽  
Spectral Representation ◽  
Scattering Problem

Theory of Electron Diffraction by Crystals

1967 ◽  
Vol 22 (4) ◽  
pp. 422-431 ◽  
Author(s):  
Kyozaburo Kambe
Keyword(s):  
Integral Equation ◽  
Electron Diffraction ◽  
General Theory ◽  
Green’S Function ◽  
Green's Function ◽  
Scattering Problem ◽  
Three Dimensional ◽  
Two Dimensions ◽  
The Third ◽  
Third Dimension

A general theory of electron diffraction by crystals is developed. The crystals are assumed to be infinitely extended in two dimensions and finite in the third dimension. For the scattering problem by this structure two-dimensionally expanded forms of GREEN’S function and integral equation are at first derived, and combined in single three-dimensional forms. EWALD’S method is applied to sum up the series for GREEN’S function.

Image Solution for the 3-D Static Green’s Function of a Vertically Stratified Two-Layer Half-Space

2016 ◽  
Vol 64 (10) ◽  
pp. 4336-4342
Author(s):  
Ehsan Zareian-Jahromi ◽  
Seyed Hossein H. Sadeghi ◽  
Reza Sarraf-Shirazi ◽  
Rouzbeh Moini ◽  
Hamidreza Karami
Keyword(s):  
Green’S Function ◽  
Half Space ◽  
Green's Function

A Liouville Type Theorem for Poly-harmonic System with Dirichlet Boundary Conditions in a Half Space

2015 ◽  
Vol 15 (1) ◽  
Author(s):  
Zhao Liu ◽  
Wei Dai
Keyword(s):  
Boundary Conditions ◽  
Green’S Function ◽  
Half Space ◽  
Green's Function ◽  
Dirichlet Boundary ◽  
Type Theorem ◽  
Dirichlet Boundary Conditions ◽  
Liouville Type ◽  
Liouville Type Theorem ◽  
Harmonic System

AbstractIn this paper, we consider the following poly-harmonic system with Dirichlet boundary conditions in a half space ℝwherewhereis the Green’s function in ℝ

Sign in / Sign up

Export Citation Format

Share Document