Covering analytical research in aerial and underwater acoustics, this new scholarly work treats the interaction of acoustic waves with obstacles which may be rigid, soft, elastic, or characterized by an impedance boundary condition. The approach is founded on asymptotic high frequency methods which are based on the concept of rays.
Despite the progress in the field of numerical methods for diffraction problems, ray methods still remain the most useful approximate methods of analyzing wave motions. They provide not only considerable physical insight and understanding of diffraction mechanisms but they are also able to treat objects which are still too large in terms of wavelength to fall in the realm of numerical analysis.
List of Figures
List of Tables
About The Author
Preface
Chapter 1 : Introduction to the Geometrical Theory of Diffraction
Chapter 2 : Canonical Problems and Nonuniform Asymptotic Theory of Acoustic Wave Diffraction
Chapter 3 : Uniform Asymptotic Theory of Acoustic Wave Diffraction
Chapter 4 : Wave Field Near a Caustic
Chapter 5 : Hybrid Diffraction Coefficients
Appendix A : A Brief Presentation of the Govering Equations for Wave Processes in Fluids
Appendix B : A Brief Presentation of the Govering Equations of Linearized Elasticity
Appendix C : Surface Waves
Appendix D : General Formulas for the Principal Radii of Curvature of the Reflected Wave Front on a Three-Dimensional Surface
Appendix E : Symmetric Form of the Maliuzhinets Diffraction Coefficient
Appendix F : Elements of the Determinant of the Boundry Conditions for a Circular Elastic Shell in a Fluid
Index
