Validity of surface-wave ray theory on a laterally heterogeneous earth

1995 ◽  
Vol 123 (3) ◽  
pp. 757-773 ◽  
Author(s):  
Zheng Wang ◽  
F. A. Dahlen
Keyword(s):  
Surface Wave ◽  
Ray Theory ◽  
Wave Ray

Excitation of surface waves by sub-surface sources

1982 ◽  
Vol 382 (1783) ◽  
pp. 411-428 ◽  
Keyword(s):  
Surface Wave ◽  
Surface Waves ◽  
Source Region ◽  
Real Space ◽  
Ray Theory ◽  
Compact Source ◽  
Amplifying Effect ◽  
Theory Approximation ◽  
Classical Integral ◽  
Emission Function

A method is proposed for the determination of surface waves produced by a buried source in a half-space. The analytical problem may be divided into two distinct cases, in which the source region is compact or non-compact. For a compact source the angular variation of the outgoing field may be characterized by an analytic function, which we call the ‘emission’ func­tion. By the use of a representation integral, the surface wave is related to the value of the emission function at a complex angle. The emission func­tion may be approximated by the full-space emission function or its ray-theory representation. As an example of a compact source, a cylindrical cavity with a concentrated line source on its circumference is considered. It is shown that the cavity may have an amplifying effect on surface-wave excitation. Diffraction by a semi-infinite screen is investigated as an example of surface waves generated by a non-compact source. The emission function for the screen, as well as its ray-theory approximation, are not analytic, and the consequent complications are discussed. The general results of this paper provide a means of analysing the excitation of surface waves by combining the intuitively simple aspects of ray theory in real space with a classical integral representation of the wave field.

On the radiation and scattering of short surface waves. Part 3

1973 ◽  
Vol 59 (1) ◽  
pp. 147-157 ◽  
Author(s):  
F. G. Leppington
Keyword(s):  
Surface Wave ◽  
Three Dimensional ◽  
Short Wave ◽  
Local Geometry ◽  
Ray Theory ◽  
Radiation Properties ◽  
Wave Region ◽  
Surface Wave Field ◽  
Inner Approximation ◽  
Time Periodic

The radiation properties of partially immersed three-dimensional bodies, in time-periodic motion, are examined in the short-wave asymptotic limit ε → 0, where ε is a non-dimensional wavelength. The method of matched expansions is used to specify an outer approximation, away from the surface wave region, and an inner approximation where the potential, in the vicinity of the obstacle and free surface, depends only on the local geometry. Finally, the radially spreading surface wave field is estimated by ray-theory arguments. Explicit details are given for the heaving and rolling of a circular dock and for the heaving motion of a hemisphere. Some speculations are made regarding the scattering properties of such obstacles.

scholarly journals Non-linear surface wave phase velocity inversion based on ray theory

2002 ◽  
Vol 151 (2) ◽  
pp. 583-596 ◽  
Author(s):  
Marianne Bruneton ◽  
Véronique Farra ◽  
Helle Anette Pedersen ◽  
Keyword(s):  
Surface Wave ◽  
Phase Velocity ◽  
Ray Theory ◽  
Velocity Inversion ◽  
Wave Phase ◽  
Wave Phase Velocity ◽  
Non Linear
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