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A01=Aleksei Kiselev
A01=Vassily Babich
Aleksei P. Kiselev
Author_Aleksei Kiselev
Author_Vassily Babich
Berry Phase
Category=PBW
Category=PHDS
Category=PHU
Cauchy Problem
Contravariant Components
Diffraction Coefficient
displacement vector
Eikonal Equation
Elastic Stiffness Tensor
Elastodynamics Equations
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Fermat Principle
Group Velocity
Hamilton Principle
Helmholtz Operator
Homogeneous Half Space
Homogeneous Isotropic Half Space
Incident Spherical Wave
Irina A. So
isotropic media
kinetic and potential energies
Limiting Absorption Principle
Local Plane Wave
Ordinary Differential Equations
Outward Normal
phase velocity
Radiation Patterns
Ray Method
Rayleigh Wave
riemannian geometry
scalar problems
Slowness Vector
Sommerfeld Radiation Conditions
Time Harmonic Case
Vassily M. Babich

Product details

  • ISBN 9781138033061
  • Weight: 618g
  • Dimensions: 156 x 234mm
  • Publication Date: 27 Mar 2018
  • Publisher: Taylor & Francis Ltd
  • Publication City/Country: GB
  • Product Form: Hardback
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Elastic Waves: High Frequency Theory is concerned with mathematical aspects of the theory of high-frequency elastic waves, which is based on the ray method. The foundations of elastodynamics are presented along with the basic theory of plane and spherical waves. The ray method is then described in considerable detail for bulk waves in isotropic and anisotropic media, and also for the Rayleigh waves on the surface of inhomogeneous anisotropic elastic solids. Much attention is paid to analysis of higher-order terms and to generation of waves in inhomogeneous media. The aim of the book is to present a clear, systematic description of the ray method, and at the same time to emphasize its mathematical beauty. Luckily, this beauty is usually not accompanied by complexity and mathematical ornateness.

Vassily M. Babich is a leading Russian expert in mathematical theory of diffraction and wave propagation. He is a co-author of ten monographs, and is the head of the laboratory of Mathematical Methods in Geophysics in the St. Petersburg branch of the Steklov Institute of Mathematics, as well as a part-time Professor at the Mathematical Faculty of St. Petersburg State University.

Aleksei P. Kiselev has authored around 100 papers in diffraction and propagation of waves. He previously worked in seismic exploration, and in mechanical engineering at Leningrad (St. Petersburg). He is now a leading researcher in the Babich Laboratory, a part-time Professor at the Physical Faculty of St. Petersburg State University and a part-time researcher in the Institute of Mechanical Engineering.

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