Peculiarities of surface wave fields in laterally inhomogeneous media in the framework of ray theory

1989 ◽  
Vol 99 (2) ◽  
pp. 297-303 ◽  
Author(s):  
T. B. Yanovskaya ◽  
Yu. V. Roslov
Keyword(s):  
Surface Wave ◽  
Inhomogeneous Media ◽  
Ray Theory ◽  
Wave Fields

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.

scholarly journals The effects of tropical cyclone characteristics on the surface wave fields in Australia's North West region

2017 ◽  
Vol 139 ◽  
pp. 35-53 ◽  
Author(s):  
Edwin J.F. Drost ◽  
Ryan J. Lowe ◽  
Greg N. Ivey ◽  
Nicole L. Jones ◽  
Christine A. Péquignet
Keyword(s):  
Surface Wave ◽  
Tropical Cyclone ◽  
Wave Fields ◽  
North West ◽  
West Region

scholarly journals Computation of wave fields in inhomogeneous media -- Gaussian beam approach

1982 ◽  
Vol 70 (1) ◽  
pp. 109-128 ◽  
Author(s):  
V.  erveny ◽  
M. M. Popov ◽  
I. P en ik
Keyword(s):  
Gaussian Beam ◽  
Inhomogeneous Media ◽  
Wave Fields

Zero‐offset reflections from a curved interface

Geophysics ◽  
1986 ◽  
Vol 51 (1) ◽  
pp. 50-53 ◽  
Author(s):  
Bjørn Ursin
Keyword(s):  
Stationary Phase ◽  
Simple Formula ◽  
Inhomogeneous Media ◽  
Ray Theory ◽  
Approximate Computation ◽  
Kirchhoff Approximation ◽  
Complicated Structure ◽  
Zero Offset ◽  
Ray Methods ◽  
Curved Interface

Dynamic ray theory is used to compute the reflection response from a curved surface when the source and receiver are located at the same point. This response has also been computed by Cohen and Bleistein from the Helmholtz formula using the Kirchhoff approximation and the method of multidimensional stationary phase. The same approximation has been derived by Hilterman, and it may also be computed from a simple formula given by Hubral. Ray methods may be applied to the approximate computation of the reflection response from inhomogeneous media with complicated structure. This is not so easily done with methods based on the Kirchhoff approximation of the Helmholtz integral.

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