Varadan Low and High Frequency Asymptotics

Acoustic, Electromagnetic and Elastic Wave Scattering
1. Auflage 2013
ISBN: 978-1-4832-9078-2
Verlag: Elsevier Science & Techn.
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 534 Seiten, Web PDF

Reihe: Mechanics and Mathematical Methods - Series of Handbooks

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.

Autoren/Hrsg.

Varadan, V. K.

Inhaltsverzeichnis

1;Front Cover;1
2;Low and High Frequency Asymptotics: Acoustic, Electromagnetic and Elastic Wave Scattering;4
3;Copyright Page;5
4;Table of Contents;14
5;Preface;6
6;Introduction;10
7;Chapter 1. Rayleigh Scattering;16
7.1;1. Introduction;17
7.2;2. Definitions, Formulation and Representations;18
7.3;3. Perfectly Conducting Body;34
7.4;4. Perfectly Conducting Flat Plate;48
7.5;5. Homogeneous Dielectric Body;54
7.6;6. Homogeneous Dispersive Bodies;64
7.7;7. Acoustically Soft, Hard and Penetrable Bodies;68
7.8;Acknowledgement;83
7.9;References;83
8;Chapter 2. Matched Asymptotic Expansions Applied to Diffraction of Elastic Waves;86
8.1;1. Introduction and General Formulation;87
8.2;2. Diffraction of SH Waves in Two Dimensions;92
8.3;3. Diffraction of P and SV Waves in Two Dimensions;135
8.4;4. Diffraction of Elastic Waves in Three Dimensions;187
8.5;5. Diffraction by a Semi-Infinite Boundary of Finite Width;230
8.6;6. Concluding Remarks and References to Some Related Works;243
8.7;Acknowledgement;244
8.8;Appendix A;244
8.9;Appendix B;246
8.10;Appendix C;263
8.11;Appendix D;273
8.12;References;275
9;Chapter 3. A Uniform GTD Approach to EM Scattering and Radiation;280
9.1;1. Introduction;281
9.2;2. Formulation of the Method;281
9.3;3. Edge Diffraction and Its Application;292
9.4;4. Diffraction at a South Convex Surface;310
9.5;References;348
10;Chapter 4. Edge Diffraction in Acoustics and Elastodynamics;350
10.1;1. Introduction;351
10.2;2. Governing Equations;352
10.3;3. Ray Theory;358
10.4;4. Edge Diffraction;368
10.5;5. Example: 2D Scattering of a Plane Wave by a Crack;402
10.6;6. Discussion of Matched Asymptotic Expansions;411
10.7;7. Concluding Remarks;413
10.8;Acknowledgement;414
10.9;References;414
11;Chapter 5. Hybrid Ray Mode Analysis of Transient Scattering;418
11.1;1. Introduction;419
11.2;2. Guided Waves Along Curved Boundaries;425
11.3;3. SEM Resonances and Guided Waves for Transient Scattering;476
11.4;4. Conclusions;509
11.5;Acknowledgement;510
11.6;Appendix A;510
11.7;Appendix B;511
11.8;Appendix C;518
11.9;Appendix D;520
11.10;Appendix E;522
11.11;Appendix F;523
11.12;References;526
12;Author Index;528
13;Subject Index;532