Use of ray methods in problems of wave propagation and scattering. (Review)

DOI10.1007/BF02086475zbMath0921.73097MaRDI QIDQ1279387

Yu. K. Rubtsov, Yu. N. Podil'chuk

Publication date: 4 October 1999

Published in: International Applied Mechanics (Search for Journal in Brave)

Mathematics Subject Classification ID

Bulk waves in solid mechanics (74J10) Research exposition (monographs, survey articles) pertaining to mechanics of deformable solids (74-02) Geometric optics (78A05)

Cites Work

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• Propagation of high-frequency harmonic elastic waves from an axially symmetric cavity
• Asymptotic solution of some diffraction problems
• Geometrical theory of diffraction in the scattering of harmonic elastic waves by smooth convex cavities
• Reflection of harmonic elastic waves from a convex axisymmetric cavity
• Study of transient surface waves in nonline rly elastic media
• Reflection of a plane step compression wave from a convex axisymmetric cavity
• Application of the method of ray series to the investigation of axisymmetric nonstationary problems of the dynamical theory of elasticity
• Geometrical theory of diffraction for three-D elastodynamics
• Propagation of harmonic elastic waves from a curvilinear cylindrical cavity
• Propagation of transient elastic waves from an elliptical cavity

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