Underwater Scattering and Radiation - 1st Edition - ISBN: 9780124779228, 9781483257761

Underwater Scattering and Radiation

1st Edition

Physical Acoustics

Editors: Allan D. Pierce R. N. Thurston
eBook ISBN: 9781483257761
Imprint: Academic Press
Published Date: 3rd December 1992
Page Count: 394
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Description

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.

Table of Contents


Contributors

Preface

1 Acoustic Scattering from Elastic Solids

1. Introduction

2. Spherical Solids

3. Infinite Cylindrical Solids

4. The T-Matrix Formalism

5. Finite Cylinders

6. Prolate Spheroids

7. Surface Waves and Quasicylindrical Modes

Acknowledgments

References

2 Variational Formulations in Acoustic Radiation and Scattering

1. Basic Features of Variational Statements

2. Hamilton's Principle

3. Plates

4. Shells

5. Energy Corollaries

6. Quotient Principles and Rayleigh's Principle

7. Minimum and Maximum Principles

8. Method of Gerjuoy, Rau, and Spruch

9. The Helmholtz-Kirchhoff Integral Corollaries

10. Integral Equations Based on the Helholtz-Kirchhoff Integral Corollaries

11. Variational Principles Derived from Integral Equations

12. Variational Principles and Non-Self-Adjoint Operators

13. Application of the Gerjuoy-Rao-Spruch Technique

14. Uniqueness and Variational Principles

15. Numerical and Analytical Implementations

16. An Assessment

Acknowledgments

References

Index

Contents of Previous Volumes

Details

No. of pages:
394
Language:
English
Copyright:
© Academic Press 1993
Published:
Imprint:
Academic Press
eBook ISBN:
9781483257761

About the Editor

Allan D. Pierce

R. N. Thurston