Titlebook: Nonlinear Acoustics; Mark F. Hamilton,David T. Blackstock Textbook‘‘‘‘‘‘‘‘ 2024Latest edition The Editor(s) (if applicable) and The Author

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Perturbation Methods, methods. The acoustic Mach number is employed as the small parameter for the perturbation expansions. The first method presented is the regular perturbation technique leading to a straightforward expansion of the solution in powers of the small parameter, but which is not uniformly valid. Two metho

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Computational Methods,thods for solving the Burgers, KZK, and NPE equations in either the frequency or time domain are described. The combined effects of nonlinearity, absorption, dispersion, and diffraction in the model equations are taken into account by employing operator splitting. A frequency-domain algorithm is dis

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Propagation in Inhomogeneous Media (Ray Theory),ry media, and examples related mainly to underwater sound are presented. The theory is generalized to account for moving media, for which a distinction between ray and wavenormal directions becomes necessary. Examples with moving media are presented in relation to aeroacoustics and sonic boom propag

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Statistical Phenomena,tation of the nonlinear evolution equation and relevant statistical functions, basic phenomena in nonlinear noise fields are described for an initially quasi-harmonic signal with random amplitude and phase modulation. An expression is presented for the intensity of the harmonics generated by a sourc

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Parametric Layers, Four-Wave Mixing, and Wave-Front Reversal,onlinearity in the liquid layer can be enhanced using gas bubbles, and processes such as wave-front reversal and phase conjugation can be achieved. In the other case, four-wave mixing is mediated by a suspension of particles in the liquid. Acoustic radiation pressure acting on an initially uniform s

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Textbook‘‘‘‘‘‘‘‘ 2024Latest edition level appropriate for a graduate course on nonlinear acoustics, and it also serves as a useful resource for scientists and engineers. Consistent notation is employed for the principal symbols, and there is extensive cross-referencing between chapters. Chapters 1 through 8 develop the physical conce

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,History of Nonlinear Acoustics: 1750s–1930s,at accounts for finite motion of the source, the Rankine-Hugoniot conservation equations across a shock, Fubini’s solution for harmonic generation in the preshock region, Fay’s solution for the harmonics following shock formation, and the Taylor shock thickness.

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Model Equations,quation that includes both cumulative and local nonlinear effects is derived, from which are obtained the Westervelt, Burgers, and KZK equations, and a generalized Burgers equation for cylindrical and spherical waves and waves in horns.