On a method to obtain a Green's function for a multi-layered half space

1964 ◽  
Vol 54 (4) ◽  
pp. 1087-1096
Author(s):  
I. Herrera
Keyword(s):  
Surface Wave ◽  
Integral Representation ◽  
Green’S Function ◽  
Surface Waves ◽  
Half Space ◽  
Green's Function ◽  
Rayleigh Waves ◽  
Two Dimensional ◽  
Representation Theorems ◽  
Layered Half Space

Abstract In this paper the surface wave terms of the Green's function for a two-dimensional multilayered half space are obtained. The method used is new and remarkable by its simplicity. It is based on the integral representation theorems for elastodynamics. The orthogonality properties of surface waves are generalized to include not only Love waves but Rayleigh waves as well.

Two dimensional Green's function for non-integer dimensional dielectric half space geometry

Optik ◽  
2016 ◽  
Vol 127 (20) ◽  
pp. 8530-8535 ◽  
Author(s):  
Musarat Abbas ◽  
Azhar Abbas Rizvi ◽  
Qaisar Abbas Naqvi
Keyword(s):  
Green’S Function ◽  
Half Space ◽  
Green's Function ◽  
Two Dimensional ◽  
Space Geometry

The Method of Generalized Ray-Revisited

2000 ◽  
Vol 16 (1) ◽  
pp. 37-44
Author(s):  
Franz Ziegler ◽  
Piotr Borejko
Keyword(s):  
Wave Propagation ◽  
Parallel Computing ◽  
Green’S Function ◽  
Half Space ◽  
Green's Function ◽  
Plane Waves ◽  
Solution Technique ◽  
New Developments ◽  
Infinite Space ◽  
Layered Half Space

ABSTRACTBased on a landmark paper by Pao and Gajewski, some novel developments of the method of generalized ray integrals are discussed. The expansion of the dynamic Green's function of the infinite space into plane waves allows benchmark 3-D solutions in the layered half-space and even enters the background formulation of elastic-viscoplastic wave propagation. New developments of software of combined symbolic-numerical manipulation and parallel computing make the method a competitive solution technique.

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