Low and high frequency asymptotics

Bibliographic Information

Low and high frequency asymptotics

edited by V.K. Varadan and V.V. Varadan

(Mechanics and mathematical methods : a series of handbooks, 3rd. ser. . Acoustic, electromagnetic and elastic wave scattering ; v. 2)

North-Holland , Sole distributors for the USA and Canada, Elsevier Science Pub. Co., 1986

  • : U.S.

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Includes bibliographies and indexes

Description and Table of Contents

Description

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.

Table of 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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Details

  • NCID
    BA00661458
  • ISBN
    • 0444877266
  • LCCN
    86018271
  • Country Code
    ne
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Place of Publication
    Amsterdam ; New York,New York, N.Y., U.S.A.
  • Pages/Volumes
    xiv, 520 p.
  • Size
    25 cm
  • Classification
  • Subject Headings
  • Parent Bibliography ID
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