Scattering of an Obliquely Incident Wave by a Coated Elliptical Conducting Cylinder

1991 ◽  
Vol 5 (11) ◽  
pp. 1169-1186 ◽  
Author(s):  
C.S. Kim
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

1983 ◽  
Vol 133 ◽  
pp. 147-160 ◽  
Author(s):  
George F. Carrier ◽  
Claude F. Noiseux

When a tsunami is incident on a plane shelf, the waveform and amplitude of the reflected wave differ significantly from those of the incident wave, and, when the shelf has the extremely irregular character of real continental shelves, the contrast between the two amplitudes is even greater. Here we quantify these statements and we also give an account of the manner in which the run-up depends on the obliquity and on other parameters characterizing the incident wave.


2019 ◽  
Vol 87 ◽  
pp. 211-222 ◽  
Author(s):  
Jie Hu ◽  
Yang Zhao ◽  
Philip L.-F. Liu

2013 ◽  
Vol 284-287 ◽  
pp. 473-477
Author(s):  
Wei Chien ◽  
Hsien Wei Tseng ◽  
Yung Wen Lee ◽  
Liang Yu Yen ◽  
Chien Ching Chiu

Frequency dependence on image reconstruction for a buried conducting cylinder is investigated. A conducting cylinder of unknown shape scatters the incident wave in free space and measured the scattered field. By using measured fields, the imaging problem is reformulated into an optimization problem and solved by the steady-state genetic algorithm (SSGA). Numerical results show that the reconstruction is quite well in the resonant frequency range. This work provides both comparative and quantitative information


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