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Elastic Waves at High Frequencies
Techniques for Radiation and Diffraction of Elastic and Surface Waves

$131.00 (C)

Part of Cambridge Monographs on Mechanics

  • Date Published: September 2010
  • availability: Available
  • format: Hardback
  • isbn: 9780521875301

$ 131.00 (C)

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About the Authors
  • John G. Harris intended to explain in this book the special techniques required to model the radiation and diffraction of elastic and surface waves. He sadly died before he could fulfil this ambition, but his plan has been brought to fruition by a team of his distinguished collaborators. The book begins with the basic underlying equations for wave motion and then builds upon this foundation by solving a number of fundamental scattering problems. The remaining chapters provide a thorough introduction to modern techniques that have proven essential to understanding radiation and diffraction at high frequencies. Graduate students, researchers and professionals in applied mathematics, physics and engineering will find that the chapters increase in complexity, beginning with plane-wave propagation and spectral analyses. Other topics include elastic wave theory, the Wiener–Hopf technique, the effects of viscosity on acoustic diffraction, and the phenomenon of channelling of wave energy along guided structures.

    • Suitable for a graduate course in wave theory and diffraction
    • Will appeal to graduate students and professionals in applied mathematics, physics and engineering
    • Includes a broad survey of applications in diffraction and scattering theory
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    Reviews & endorsements

    "It is written in an elegant, engaging style, reflects well the research interests of the expert team, and as such, is an invaluable new source for graduate students, researchers, and professionals working in the fields of applied mathematics, physics and engineering who are faced with similar modelling tasks."
    Larissa Ju. Fradkin, Mathematical Reviews

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    Product details

    • Date Published: September 2010
    • format: Hardback
    • isbn: 9780521875301
    • length: 182 pages
    • dimensions: 235 x 159 x 17 mm
    • weight: 0.43kg
    • contains: 30 b/w illus.
    • availability: Available
  • Table of Contents

    1. Linear elastic waves
    2. Canonical acoustic-wave problems
    3. Canonical elastic-wave problems
    4. Radiation and impedance
    5. Integral equations for crack scattering
    6. Scanned acoustic imaging
    7. Acoustic diffraction in viscous fluids
    8. Near cut-off behavior in waveguides
    Appendix. Asymptotic expansions and special functions

  • Author

    John G. Harris, University of Illinois, Urbana-Champaign
    John G. Harris was Professor Emeritus in the Department of Theoretical and Applied Mechanics at the University of Illinois, Urbana-Champaign before his death in May 2006.

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