Nonlinear acoustics
著者
書誌事項
Nonlinear acoustics
Academic Press, c1998
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
"Nonlinear Acoustics: Theory and Applications" is an introductory text on the theory and applications of nonlinear acoustics. This book develops the theory on nonlinear acoustics from physical principles. The first half of the book develops the physical concepts, mathematical models, and classical methods of solution that form the theoretical framework of nonlinear acoustics. Benchmark experiences are described and many applications are discussed in detail. The second half covers special topics and applications, both theory and experiment. The material is accessible to anyone familiar with the principles normally encountered in a basic course on the physical aspects of linear acoustics. Each chapter is written by experts in their respective fields. It includes basic theory and model equations developed from first principles; explains the extensive history of nonlinear acoustics and the Burger's equation; describes the analytical, perturbation, and numerical methods of solution; and introduces nonlinear waves in solids.
The applications included methods for: Determining the nonlinearity parameter; Suppression of sound by sound; Acoustic levitation and streaming; Sound beams and parametric arrays; Statistical phenomena; Four-Wave mixing; Phase conjugation; Biomedical effects; and, Propagation in the atmosphere, ocean, waveguides, relaxing fluids, and bubbly liquids.
目次
D.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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