Low and High Frequency Asymptotics book cover

Low and High Frequency Asymptotics

This volume focuses on asymptotic methods in the low and high frequency limits for the solution of scattering and propagation problems. Each chapter is pedagogical in nature, starting with the basic foundations and ending with practical applications. For example, using the Geometrical Theory of Diffraction, the canonical problem of edge diffraction is first solved and then used in solving the problem of diffraction by a finite crack. In recent times, the crack problem has been of much interest for its applications to Non-Destructive Evaluation (NDE) of flaws in structural materials.

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Published: September 1986

Imprint: North-holland

ISBN: 978-0-444-87726-0

Contents

  • 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.

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