Nonlinear Acoustics: Theory and Applicationsby Mark F. Hamilton, David T. Blackstock
Pub. Date: 10/28/1997
Publisher: Elsevier Science & Technology Books
The first half of the book develops
The present book is a unique text and reference on the theory and applications of nonlinear acoustics. Individual chapters are written by leading experts on their respective subjects. The book combined the merits of a graduate textbook format with the scholarly appeal of a research monograph for physicists and engineers.
The first half of the book develops physical concepts, mathematical models, and classical methods of solution. Benchmark experiments are also described. The second half covers special topics and applications, both theory and experiment.
- Elsevier Science & Technology Books
- Publication date:
- Edition description:
- New Edition
- Product dimensions:
- 6.24(w) x 9.22(h) x 1.12(d)
Table of ContentsD.T. Blackstock, History of Nonlinear Acoustics: 1750s-1930s: Introduction. 1759-1860, The Classical Era. 1870-1910, Shock Waves. 1930s, Precursors of the Modern Era. References. R.T. Beyer, The Parameter B/A: Introduction. Definitions. Physical Interpretation of B/A. Determination of B/A. Nonlinearity in Isotropic Solids. Tables. References. M.F. Hamilton and C.L. Morfey, Model Equations: Introduction. Basic Equations. Lossless Theory. Approximations for Thermoviscous Fluids. Second-Order Wave Equation. Westervelt Equation. Burgers Equation. Generalized Burgers Equation. KZK Equation. References. D.T. Blackstock, M.F. Hamilton, and A.D. Pierce, Progressive Waves in Lossless and Lossy Fluids: Introduction. Losslessness Progressive Waves. Shock Waves. Weak Shock Theory. The Burgers Equation. Special Topics. References. M.F. Hamilton, Y.A. Il-nskii, and E.A. Zabolotskaya, Dispersion: Introduction. Weak Dispersion. Strong Dispersion. Acknowledgment. References. T.G. Wang and C.P. Lee, Radiation Pressure and Acoustic Levitation: Introduction. Radiation Pressure. Acoustic Levitation. References. W.L. Nyborg, Acoustic Streaming: Introduction. General Considerations. Solutions. Applications. References. M.F. Hamilton, Sound Beams: Introduction. Parabolic Wave Equation. Quasilinear Theory. A.N. Morris, Finite Amplitude Waves in Solids: Introduction. Equations of Nonlinear Elastodynamics. Longitudinal and Transverse Pane Waves. Acoustoelasticity: Stress Dependence of the Wave Speeds. Sound Beams in Solids. References. J.H. Ginsberg, Perturbation Methods:Background. Regular Perturbation Technique. Methodof Multiple Scales. Method of Renormalization. Radiation from a Vibrating Plate. Curvilinear Coordinates. Wave Groups. References. J.H. Ginsberg and M.F. Hamilton, Computational Methods: Introduction. One-Dimensional Waves. Directional Three-Dimensional Waves. General Time Domain Algorithm. References. C.L. Morfey and F.D. Cotaras, Propagation in Inhomogeneous Media (Ray Theory): Ray Theory and its Extension to Finite Amplitude Propagation. Examples of Nonlinear Propagation a Stationary Medium. Finite Amplitude Ray Propagation in Moving Media. Examples of Nonlinear Propagation in a Moving Medium. Review of Approximations. Acoustic Properties of Water and Seawater. S.N. Gurbatov and O.V. Rudenko, Statistical Phenomena:Introduction. Evolution Equation and Statistical Functions. Basic Phenomena in Nonlinear Noise Fields. Evolution of Quasi-Monochromatic Signals. Evolution of Broadband Spectra--Acoustic Turbulence. Interaction of a Regular Wave with Noise. Conclusions. References. H.J. Simpson and P.L. Marston, Parametric Layers, Four-Wave Mixing, and Wavefront Reversal: Introduction. Focused-Wave Production by Parametric Mixing in a Nonlinear Layer. Four-Wave Mixing Resulting from Responses to Radiation Pressure. Kinematic Processes and Miscellaneous Phase Conjugation Processes. Acknowledgment. References. E.L. Carstensen and D.R. Bacon, Biomedical Applications: Introduction. Acoustic Properties of Tissues. High Amplitude, Focused Fields of Medical Equipment. Predicting Fields in Tissues: The Derating Problem. Implications of Nonlinear Contributions to Radiation Forces and Acoustic Streaming. Lithotripsy. Pulsed Ultrasound. Acknowledgment. References. Subject Index.
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