John G. Harris intended to explain in this book the special techniques required to model the radiation and diffraction of elastic and surface waves. Sadly, he 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.
Foreword; 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; References; Index.
For graduate students, researchers and professionals in applied mathematics, physics and engineering, this book explains the special techniques required to model the radiation and diffraction of elastic and surface waves.
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.
Utilizziamo i cookie di profilazione, anche di terze parti, per migliorare la navigazione, per fornire servizi e proporti pubblicità in linea con le tue preferenze. Se vuoi saperne di più o negare il consenso a tutti o ad alcuni cookie clicca qui. Chiudendo questo banner o proseguendo nella navigazione acconsenti all’uso dei cookie.