Underwater Scattering and Radiation

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.

Contenu

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
8. Basic Features of Variational Statements
9. Hamilton's Principle
10. Plates
11. Shells
12. Energy Corollaries
13. Quotient Principles and Rayleigh's Principle
14. Minimum and Maximum Principles
15. Method of Gerjuoy, Rau, and Spruch
16. The Helmholtz-Kirchhoff Integral Corollaries
17. Integral Equations Based on the Helholtz-Kirchhoff Integral Corollaries
18. Variational Principles Derived from Integral Equations
19. Variational Principles and Non-Self-Adjoint Operators
20. Application of the Gerjuoy-Rao-Spruch Technique
21. Uniqueness and Variational Principles
22. Numerical and Analytical Implementations
23. An Assessment
    Acknowledgments
    References
    Index
    Contents of Previous Volumes