2007
DOI: 10.1007/s11200-007-0022-7
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Reflection/transmission laws for slowness vectors in viscoelastic anisotropic media

Abstract: The reflection/transmission laws (R/T laws) of plane waves at a plane interface between two homogeneous anisotropic viscoelastic (dissipative) halfspaces are discussed. Algorithms for determining the slowness vectors of reflected/transmitted plane waves from the known slowness vector of the incident wave are proposed. In viscoelastic media, the slowness vectors of plane waves are complex-valued, p = P + iA p = P + iA, where P P is the propagation vector, and A A the attenuation vector. The proposed algorithms … Show more

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Cited by 19 publications
(7 citation statements)
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“…The perturbation formula for the slowness vector presented in this paper may also find applications in the solution of the problem of reflection and transmission of homogeneous and inhomogeneous plane waves at a plane interface separating two homogeneous, viscoelastic, isotropic or anisotropic media. More specifically, the perturbation formula may be used in the determination of slowness vectors of individual reflected and transmitted waves from the slowness vector of the incident wave, see Červený (2007). As a whole, the problem of reflection and transmission of plane waves at a plane interface between two homogeneous, viscoelastic, isotropic or anisotropic media is, however, far from being solved.…”
Section: Discussionmentioning
confidence: 99%
“…The perturbation formula for the slowness vector presented in this paper may also find applications in the solution of the problem of reflection and transmission of homogeneous and inhomogeneous plane waves at a plane interface separating two homogeneous, viscoelastic, isotropic or anisotropic media. More specifically, the perturbation formula may be used in the determination of slowness vectors of individual reflected and transmitted waves from the slowness vector of the incident wave, see Červený (2007). As a whole, the problem of reflection and transmission of plane waves at a plane interface between two homogeneous, viscoelastic, isotropic or anisotropic media is, however, far from being solved.…”
Section: Discussionmentioning
confidence: 99%
“…For D = 0, the plane wave is homogeneous, and for D ̸ = 0 it is inhomogeneous. In order to determine the incident wave belong to θ 0 and D, we use the mixed specification of slowness vector p = σn + iDm(see [11,14])…”
Section: Incident Wavementioning
confidence: 99%
“…In order to study the reflection and transmission of waves, slowness vector p is expressed in terms of a known real-valued unit vector n (the unit vector of x 3 axis) and a complex-valued vector p 0 as follows [11,12,14]. Note that plane Σ S coincides to x 3 = 0 one.…”
Section: Reflected and Transmitted Wavesmentioning
confidence: 99%
“…The polarization vectors u R α ∈ R 3 of the reflected contributions are evaluated in direction of the corresponding slowness vectors. Červený [65] defines the reflected slowness vector as a function of incoming slowness vector and thus the reflected contributions are governed by the corresponding slowness vectors i.e., s R α (m − y). Also, the direction of reflected slowness vectors governs the scattering coefficients.…”
Section: Simulation Of Wave Propagationmentioning
confidence: 99%