Green's function for the Helmholtz equation in a layered half-space

2005 ◽  
Vol 50 (7-11) ◽  
pp. 869-876 ◽  
Author(s):  
Robert Gilbert ◽  
Yongzhi Xu
Keyword(s):  
Helmholtz Equation ◽  
Green’S Function ◽  
Half Space ◽  
Green's Function ◽  
Layered Half Space

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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