Low and high frequency asymptotics
著者
書誌事項
Low and high frequency asymptotics
（Mechanics and mathematical methods : a series of handbooks, 3rd. ser. . Acoustic,
North-Holland , Sole distributors for the USA and Canada, Elsevier Science Pub. Co., 1986
- : U.S.
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注記
Includes bibliographies and indexes
内容説明・目次
内容説明
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.
目次
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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