Preface. Introduction. Chapters: 1. Rayleigh Scattering (R.E. Kleinman and T.B.A. Senior). Perfectly Conducting Body. Perfectly Conducting Flat Plate. Homogeneous Dielectric Body. Homogeneous Dispersive Bodies. Acoustically Soft, Hard and Penetrable Bodies. 2. Matched Asymptotic Expansions Applied to Diffraction of Elastic Waves (S.K. Datta and F.J. Sabina). Diffraction of SH Waves in Two Dimensions. Diffraction of P and SV Waves in Two Dimensions. Diffraction of Elastic Waves in Three Dimensions. Diffraction by a Semi-Infinite Boundary of Finite Width. 3. A Uniform GTD Approach to EM Scattering and Radiation (R.G. Kouyoumjian and P.H. Pathak). Formulation of the Method. Edge Diffraction and Its Application. Diffraction at a South Convex Surface. 4. Edge Diffraction in Acoustics and Elastodynamics (J.D. Achenbach and A.K. Gautesen). Governing Equations. Ray Theory. Edge Diffraction. Example: 2D Scattering of a Plane Wave by a Crack. Discussion of Matched Asymptotic Expansions. 5. Hybrid Ray Mode Analysis of Transient Scattering (L.B. Felsen and E. Heyman). Guided Waves Along Curved Boundaries. SEM Resonances and Guided Waves for Transient Scattering. Author Index. Subject Index.