scholarly journals Perfect focusing of scalar wave fields in three dimensions

2010 ◽  
Vol 18 (8) ◽  
pp. 7650 ◽  
Author(s):  
Pablo Benítez ◽  
Juan C. Miñano ◽  
Juan C. González
Keyword(s):  
Three Dimensions ◽  
Scalar Wave ◽  
Wave Fields

Wave fields in three dimensions: analysis and synthesis

1996 ◽  
Vol 13 (9) ◽  
pp. 1837 ◽  
Author(s):  
Rafael Piestun ◽  
Boris Spektor ◽  
Joseph Shamir
Keyword(s):  
Three Dimensions ◽  
Wave Fields ◽  
Analysis And Synthesis

Path-linking interpretation of Kirchhoff diffraction

1995 ◽  
Vol 450 (1938) ◽  
pp. 51-65 ◽  
Keyword(s):  
Exact Solution ◽  
Wave Equation ◽  
Wave Field ◽  
Diffraction Field ◽  
Scalar Wave ◽  
Wave Fields ◽  
Linking Number ◽  
Diffraction Integral ◽  
Pass Through ◽  
Kirchhoff Diffraction Integral

The Kirchhoff-diffraction integral is often used to describe the (scalar) wave field from a monochromatic point source in the presence of ‘opaque’ screens. Despite criticisms that can be made of its ‘derivation’, the Kirchhoff field is an exact solution of the wave equation, and exactly obeys definite, though unusual, boundary conditions (Kottler 1923, 1965). Here, the path-integral picture of wave fields is used to interpret the Kirchhoff-diffraction field in terms of all conceivable propagation paths, whether or not they pass through the opaque screens. Specifically, it is noted that the Kirchhoff field equals Ʃ(1 ─ m )ψ m , where the sum is over all integers m , and ψ m is the wave field due to all paths from the source to the field point for which the number of outward screen crossings minus the number of backwards screen crossings is m . Expressed more topologically, m is the total linking number of a path, when closed by any unobstructed path, with the screen edge lines. Other models of diffraction by screens are compared with Kirchhoff diffraction in the path interpretation.

JDiffraction: A GPGPU-accelerated JAVA library for numerical propagation of scalar wave fields

2017 ◽  
Vol 214 ◽  
pp. 128-139 ◽  
Author(s):  
Pablo Piedrahita-Quintero ◽  
Carlos Trujillo ◽  
Jorge Garcia-Sucerquia
Keyword(s):  
Scalar Wave ◽  
Wave Fields ◽  
Java Library

Discrete wave-number representation of seismic-source wave fields

1977 ◽  
Vol 67 (2) ◽  
pp. 259-277
Author(s):  
Michel Bouchon ◽  
Keiiti Aki
Keyword(s):  
Layered Medium ◽  
Near Field ◽  
Seismic Source ◽  
Three Dimensions ◽  
Wave Number ◽  
Number Representation ◽  
Wave Fields ◽  
High Acceleration ◽  
Horizontal Wave ◽  
Source Wave

Abstract A method based on a discrete horizontal wave-number representation of seismic-source wave fields is developed and applied to the study of the near-field of a seismic source embedded in a layered medium. The discretization results from a periodicity assumption in the description of the source. The problem is basically two-dimensional but its extension to three dimensions is sometimes feasible. The source is quite general and is represented through its body-force equivalents. Tests of the accuracy of the method are made against Garvin's (1956) analytical solution (a buried line source in a half-space) and against Niazy's (1973) results for a propagating fault in an infinite medium. In both cases, a remarkably good agreement is found. The method is applied to the modeling of the San Fernando earthquake, and to the computation of synthetic seismograms at short distance from a complex source in a layered medium. In particular, we show that the high acceleration-high frequency phase of the Pacoima Dam records is due to the Rayleigh wave from the point of ground breakage. Other high-acceleration phases, predicted by our model, are associated with the shear-wave arrival from the hypocenter or result from changes in the fault orientation.

Plane-Wave Representations for Scalar Wave Fields

SIAM Review ◽  
1973 ◽  
Vol 15 (4) ◽  
pp. 765-786 ◽  
Author(s):  
A. J. Devaney ◽  
George C. Sherman
Keyword(s):  
Plane Wave ◽  
Scalar Wave ◽  
Wave Fields

Kinetics of scalar wave fields in random media

Wave Motion ◽  
2005 ◽  
Vol 43 (2) ◽  
pp. 132-157 ◽  
Author(s):  
Guillaume Bal
Keyword(s):  
Random Media ◽  
Scalar Wave ◽  
Wave Fields ◽  
Kinetics Of
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