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

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.

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

Optical design of inhomogeneous media to perfectly focus scalar wave fields

2010 ◽  
Author(s):  
Pablo Benítez ◽  
Juan C. Miñano ◽  
Juan C. González
Keyword(s):  
Optical Design ◽  
Inhomogeneous Media ◽  
Scalar Wave ◽  
Wave Fields

Elastic wave fields generated by scalar wave functions

1967 ◽  
Vol 63 (4) ◽  
pp. 1177-1187 ◽  
Author(s):  
P. Chadwick ◽  
E. A. Trowbridge
Keyword(s):  
Elastic Wave ◽  
Pure Shear ◽  
Formal Solution ◽  
Elastic Solid ◽  
Wave Functions ◽  
Polar Coordinates ◽  
Scalar Wave ◽  
Infinite Body ◽  
Wave Fields ◽  
Concentric Spheres

AbstractIn this paper we obtain a representation of elastic wave fields (i.e. solutions of the equations of motion of classical elastokinetics) in terms of three functions satisfying scalar wave equations. Although the form of the representation implies no restriction upon the choice of coordinate system or upon the shape of the elastic body, it is found that the result can only be applied advantageously to initial-boundary-value problems having spherical polar coordinates as a natural frame of reference. The representation is shown to be complete in the sense that every (sufficiently smooth) elastic wave field in a homogeneous, isotropic body bounded by two concentric spheres can be expressed in the given form.Under conditions of axial symmetry the representation generates wave fields which can be decomposed into poloidal and toroidal constituents, the former arising from two scalar wave functions and comprising both dilatational and rotational waves, and the latter being associated with a single scalar wave function and a state of pure shear of the elastic solid. Finally, the representation is used to obtain a formal solution describing the elastic pulse generated in an infinite body by the application of time-dependent tractions to the surface of a spherical cavity.

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
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