Reflection and Transmission of X-Waves in the Presence of Planarly Layered Media: The Pulsed Plane Wave Representation

2001 ◽  
Vol 30 ◽  
pp. 191-211 ◽  
Author(s):  
A. M. Attiya ◽  
E. El-Diwany ◽  
A. M. Shaarawi ◽  
I. M. Besieris
Keyword(s):  
Plane Wave ◽  
Layered Media ◽  
Reflection And Transmission

Reflection and Transmission of a Plane Wave by an Array of Cavities in the Interface of Two Solids

1992 ◽  
Vol 59 (1) ◽  
pp. 102-108 ◽  
Author(s):  
Yonglin Xu
Keyword(s):  
Plane Wave ◽  
Integral Equations ◽  
Boundary Integral Equations ◽  
Singular Integral Equations ◽  
Boundary Integral ◽  
Reflection And Transmission ◽  
Transmission Coefficients ◽  
Typical Cell ◽  
Wave States ◽  
Doubly Periodic Array

The reflection and transmission of a plane wave by a distribution of cavities in the interface of two solids of different mechanical properties are investigated. For the calculation of the reflection and transmission coefficients by a distribution of cavities, six auxiliary wave states are used in conjunction with the reciprocal identity. Specific results are presented for scattering by a doubly periodic array of cavities in the interface of solids of different elastic moduli and mass densities. For a typical cell, the boundary integral equations for scattering by a cavity at the interface of two solids are derived on the basis of continuity of displacements and tractions across the interface and by taking advantage of the geometrical periodicity. Solutions to the system of singular integral equations have been obtained by the boundary element method. Numerical results are presented as functions of the frequency for two angles of incidence.

The wide-spacing approximation applied to multiple scattering and sloshing problems

1990 ◽  
Vol 210 ◽  
pp. 647-658 ◽  
Author(s):  
D. V. Evans
Keyword(s):  
Plane Wave ◽  
Closed Form ◽  
Multiple Scattering ◽  
Water Wave ◽  
Wave Incident ◽  
Reflection And Transmission ◽  
Wide Spacing ◽  
Plane Wave Incident ◽  
Rigid Walls

Linear water-wave theor is used in conjuctin with a wide-spacing approximation to develop closed-form expressions for the reflection and transmission coeffcients appropriate to a plane wave incident upon any number of identical equally spaced obstacles in two dimensins, and also to derive a real expressin from which the sloshing requencies, which occur when the bodies are bounded by rigid walls, can be determined. In each case the solutin is in terms of known properties of radiation problems associated with any one of the bodies in isolation.

Reflection and transmission for gyroelectromagnetic biaxial layered media

1985 ◽  
Vol 2 (3) ◽  
pp. 454 ◽  
Author(s):  
N. J. Damaskos ◽  
A. L. Maffett ◽  
P. L. E. Uslenghi
Keyword(s):  
Layered Media ◽  
Reflection And Transmission

3D diffraction modeling of singly scattered acoustic wavefields based on the combination of surface integral propagators and transmission operators

Geophysics ◽  
2007 ◽  
Vol 72 (5) ◽  
pp. SM19-SM34 ◽  
Author(s):  
Milana A. Ayzenberg ◽  
Arkady M. Aizenberg ◽  
Hans B. Helle ◽  
Kamill D. Klem-Musatov ◽  
Jan Pajchel ◽  
...  
Keyword(s):  
Plane Wave ◽  
Local Approximation ◽  
Surface Integral ◽  
Reflection And Transmission ◽  
Transmission Coefficients ◽  
Effective Coefficients ◽  
Head Waves ◽  
Seismic Frequencies ◽  
Plane Wave Approximation ◽  
Frequency Approximation

We present an improved method for modeling 3D acoustic wavefields scattered at smooth curved interfaces. The approach is based on a high-frequency approximation of surface integral propagators and a correct description of their boundary values in terms of transmission operators. The main improvement is a uniform local approximation of these operators in the form of effective reflection and transmission coefficients. We show that the effective coefficients represent a generalization of the plane-wave coefficients widely used in conventional seismic modeling, even for the case of curved reflectors, nonplanar wavefronts, and finite frequencies. The proposed method is capable of producing complex wave phenomenas, such as caustics, edge diffractions, and head waves. Seismograms modeled for even simple models reveal significant errors implicit in the plane-wave approximation. Comparison of modeling based on effective coefficients with the analytic solution reveals errors less than 4% in peak amplitude at seismic frequencies.

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