T‐matrix analysis of the resonances in sound scattering of an obliquely incident wave from finite elastic spheroids and cylinders

1981 ◽  
Vol 69 (S1) ◽  
pp. S62-S62
Author(s):  
Lawrence Flax ◽  
L. R. Dragonette ◽  
Vijay K. Varadan ◽  
Vasundara V. Varadan
1980 ◽  
Vol 67 (S1) ◽  
pp. S18-S19
Author(s):  
E. Tanglis ◽  
G. Gaunaurd ◽  
H. Überall

1982 ◽  
Vol 71 (S1) ◽  
pp. S67-S67
Author(s):  
L. Flax ◽  
L. H. Green ◽  
M. Werby ◽  
V. K. Varadan ◽  
V. V. Varadan

1980 ◽  
Vol 68 (S1) ◽  
pp. S80-S80
Author(s):  
L. R. Dragonette ◽  
Lawrence Flax ◽  
Vijay K. Varadan ◽  
Vasundra V. Varadan

1980 ◽  
Vol 67 (S1) ◽  
pp. S19-S19
Author(s):  
E. Tanglis ◽  
G. Gaunaurd ◽  
H. Überall

1974 ◽  
Vol 64 (6) ◽  
pp. 1979-1991 ◽  
Author(s):  
V. Thapliyal

abstract The effects of anisotropy on the reflection of SH-waves (horizontally polarized shear waves) from a transition layer are studied. The transition layer is sand-wiched between two isotropic homogeneous half-spaces and is constituted by a medium which is both anisotropic and inhomogeneous. The SH-wave potentials are obtained for an anisotropic inhomogeneous medium in which both the anisotropy factor (ratio of the horizontal rigidity to the vertical rigidity) and vertical velocity vary with depth. An expression for the reflection coefficient of SH waves is obtained when the material mentioned above forms a finite transition zone between two isotropic homogeneous half-spaces. For further generalization, a second-order discontinuity along with the first-order on eis being assumed in the material properties, at the boundaries of the transition layer. The mathematical and numerical analyses show that the anisotropy factor, found at the top of the transition layer (N0/M0) produces considerable effect on the reflection coefficient for an obliquely incident SH wave. It has been noted that the greater the thickness of the transition layer, the greater is the dependence of the reflection coefficient upon the value of the anisotropy (N0/M0). The minima and maxima of the reflection of seismic energy are found dependent on the value of anisotropy. For greater values of the anisotropy, these maxima and minima shift toward the lower values of the wavelength of the propagating wave (or toward the higher values of the thickness of the transition layer). In fact, the values of the reflection coefficient at which these maxima and minima of seismic energy occur are found greater for the higher values of anisotropy. The effects of anisotropy are found more pronounced for the larger angles of incidence. This remains so until the angle of refraction becomes imaginary. However, no effects of the anistropy factor are found on the reflection coefficients for a normally incident wave. The results, mentioned above, are therefore discussed only for the obliquely incident wave. A geophysically interesting situation has been chosen for studying, quantitatively, the effects of the anisotropy factor on the reflection of SH waves.


1992 ◽  
Vol 14 (3) ◽  
pp. 201-213 ◽  
Author(s):  
Philip L.-F. Liu ◽  
Yong-Sik Cho ◽  
Jan K. Kostense ◽  
Maarten W. Dingemans

1980 ◽  
Vol 21 (3) ◽  
pp. 225-231 ◽  
Author(s):  
K.K. Ghosh ◽  
D.L. Huber
Keyword(s):  

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