Pierce / Thurston Underwater Scattering and Radiation

Physical Acoustics
1. Auflage 2013
ISBN: 978-1-4832-5776-1
Verlag: Elsevier Science & Techn.
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 394 Seiten, Web PDF

Underwater Scattering and Radiation describes the relevant theoretical foundations of underwater scattering and radiation. Acoustic scattering from elastic solids is discussed, and variational formulations in acoustic radiation and scattering are presented. Surface waves and quasi-cylindrical modes are also explored, along with the Helmholtz-Kirchhoff integral corollaries. Comprised of two chapters, this volume begins with a comprehensive account of scattering by elastic objects, focusing on the classic idealized shapes of spheres and infinite cylinders. The reader is introduced to important concepts such as normal modes, the S-matrix, and the T-matrix as well as resonances, whispering gallery modes, Franz modes, and Stoneley waves. Subsequent sections describe methods for treating scattering by elastic bodies of more general shapes. The T-matrix formalism is discussed and then applied to spheroidal scatterers and finite cylinders. The second chapter analyzes how variational principles can be used in acoustics, with the choice of topics directed toward applications to underwater acoustic radiation and scattering. This book will be of interest to physicists.

Autoren/Hrsg.

Pierce, Allan D.

Thurston, R. N.

Inhaltsverzeichnis

1;Front Cover;1
2;Physical Acoustics;4
3;Copyright Page;5
4;Table of Contents;6
5;Contributors;8
6;Preface;10
7;Chapter 1. Acoustic Scattering from Elastic Solids;12
7.1;1. Introduction;13
7.2;2. Spherical Solids;14
7.3;3. Infinite Cylindrical Solids;57
7.4;4. The T-Matrix Formalism;72
7.5;5. Finite Cylinders;92
7.6;6. Prolate Spheroids;148
7.7;7. Surface Waves and Quasicylindrical Modes;185
7.8;ACKNOWLEDGMENTS;196
7.9;REFERENCES;196
8;Chapter 2. Variational Formulations in Acoustic Radiation and Scattering;206
8.1;1. Basic Features of Variational Statements;207
8.2;2. Hamilton's Principle;221
8.3;3. Plates;228
8.4;4. Shells;238
8.5;5. Energy Corollaries;262
8.6;6. Quotient Principles and Rayleigh's Principle;265
8.7;7. Minimum and Maximum Principles;270
8.8;8. Method of Gerjuoy, Rail, and Spruch;273
8.9;9. The Helmholtz-Kirchhoff Integral Corollaries;278
8.10;10. Integral Equations Based on the Helmholtz-Kirchhoff Integral Corollaries;284
8.11;11. Variational Principles Derived from Integral Equations;312
8.12;12. Variational Principles and Non-Self-Adjoint Operators;323
8.13;13. Application of the Gerjuoy-Rao-Spruch Technique;330
8.14;14. Uniqueness and Variational Principles;338
8.15;15. Numerical and Analytical Implementations;342
8.16;16. An Assessment;361
8.17;ACKNOWLEDGMENTS;365
8.18;REFERENCES;366
9;Index;384
10;Contents of Volumes in this Series;390