Diffraction by conical surfaces at high frequencies

We consider the scalar wave field described by the Helmholtz equation generated by a point source or by a plane wave in the presence of a conical obstacle of a rather arbitrary cross-section. The solution is constructed in form of Watson's integral. The latter is investigated in a high-frequenc...

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Bibliographic Details
Published inWave motion Vol. 12; no. 4; pp. 329 - 339
Main Author Smyshlyaev, V.P.
Format Journal Article
LanguageEnglish
Published Amsterdam Elsevier B.V 1990
Elsevier
Subjects
Earth sciences
Earth, ocean, space
Earthquakes, seismology
Exact sciences and technology
Internal geophysics
Absorption and scattering
Seismic diffraction
Seismic wave
Eigenvalue
Eigenvalues
Mathematical models
Elastic waves
Mathematical model
Short period waves
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Summary:We consider the scalar wave field described by the Helmholtz equation generated by a point source or by a plane wave in the presence of a conical obstacle of a rather arbitrary cross-section. The solution is constructed in form of Watson's integral. The latter is investigated in a high-frequency approximation, and as a result we obtain formulae for the scattering amplitude of the spherical wave diffracted by the vertex of a cone. We illustrate the approach proposed by considering some examples dealing with diffraction by cones.
ISSN:0165-2125
1878-433X
DOI:10.1016/0165-2125(90)90003-M