A New Method for Locating the Poles of Green's Functions in a Lossless or Lossy Multilayered Medium

2010 ◽  
Vol 58 (7) ◽  
pp. 2295-2300 ◽  
Author(s):  
Dao-Xiang Wang ◽  
Edward Kai-Ning Yung ◽  
Ru-Shan Chen ◽  
Jian Bao
Keyword(s):  
Green's Functions ◽  
Green’S Functions ◽  
New Method ◽  
Multilayered Medium

An efficient method for computing Green's functions for a layered half-space with sources and receivers at close depths (part 2)

1995 ◽  
Vol 85 (4) ◽  
pp. 1080-1093
Author(s):  
Yoshiaki Hisada
Keyword(s):  
Free Surface ◽  
Half Space ◽  
Efficient Method ◽  
Green's Functions ◽  
Green’S Functions ◽  
New Method ◽  
Direct Wave ◽  
Transmitted Waves ◽  
Dipole Sources ◽  
Layered Half Space

Abstract In this study, we improve Hisada's (1994) method to efficiently compute Green's functions for viscoelastic layered half-spaces with sources and receivers located at equal or nearly equal depths. Compared with Hisada (1994), we can significantly reduce the range of wavenumber integration especially for the case that sources and receivers are close to the free surface or to boundaries of the source layer. This can be done by deriving analytical asymptotic solutions for both the direct wave and the reflected/transmitted waves from the boundaries, which are neglected in Hisada (1994). We demonstrate the validity and efficiency of our new method for several cases. The FORTRAN codes for this method for both point and dipole sources are open to academic use through anonymous FTP.

Green’s Function Synthesis for Layered Distributed Parameter Systems

1995 ◽  
Author(s):  
Gerhard G. G. Lueschen ◽  
Lawrence. A. Bergman
Keyword(s):  
Green’S Function ◽  
Green's Function ◽  
Green's Functions ◽  
Green’S Functions ◽  
Coupled System ◽  
Layered Structures ◽  
Distributed Parameter Systems ◽  
New Method ◽  
Distributed Parameter ◽  
Fully Coupled

Abstract Dynamic Green’s functions for a class of layered distributed parameter systems are derived using a new method. The resulting system Green’s function, which is comprised of the elemental Green’s function of each of the substructures, defines the dynamics of the fully coupled system. Green’s functions for sandwiched beams with both identical and different layer properties are derived. The result retains the accuracy of the constituent elemental Green’s functions. The application of the method to other layered structures is immediate as long as the elemental Green’s functions of the substructures are known.

A new method to obtain 3-D Green's functions for anisotropic solids

Wave Motion ◽  
1993 ◽  
Vol 18 (3) ◽  
pp. 273-289 ◽  
Author(s):  
C.-Y. Wang ◽  
J.D. Achenbach
Keyword(s):  
Green's Functions ◽  
Green’S Functions ◽  
New Method
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