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This book was written for researchers and engineers working with aerial and underwater acoustics. It examines the interactions of acoustic waves with obstacles that may be rigid, soft, elastic, or characterized by an impedance boundary condition. The approach is founded on asymptotic high-frequency diffraction methods based on the concept of rays. Despite the progress in the field of numerical methods for diffraction problems, ray methods remain the most useful approximate methods for analyzing wave motions. Ray methods provide considerable physical insight into diffraction mechanisms and allow for the analytic treatment of objects that are still too large in terms of wavelength to be solved in the realm of numerical methods.

Sound-waves --- Vibration --- Waves --- Diffraction --- Mathematical models. --- Aerial acoustics --- Underwater acoustics --- Asymptotic expansions --- Acoustic waves --- Impedance boundary conditions --- Canonical problems --- Creeping waves --- Elastic surface waves --- Whispering gallery modes --- Maliuzhinets's diffraction coefficient --- Uniform asymptotic theory --- Field near a caustic --- Hybrid diffraction coefficients