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, 2014 The basics of nonlinear acoustics and its application to medical ultrasound imaging are introduced. First, a little historical introduction is given, and next, the coefficient of nonlinearity is introduced, together with a variety of equations, which step by step develop from simple to more sophisticated models.
Demi, Libertario, Martin D. Verweij
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, 2019 Snapshots of modern mathematics from Oberwolfach;2019 ...
Kaltenbacher, Barbara +1 more
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Nonlinear Acoustics and Acoustic Chaos
Lecture Notes in Physics, 2002The very basic standard elements of nonlinear acoustics are presented: The origin of nonlinearity, equations of state, simple nonlinear waves and shock wave formation. Sonoluminescence is chosen as a modern example of nonlinear acoustics. Some notations from nonlinear dynamics are introduced needed for understanding chaotic dynamics and acoustic ...
Lauterborn Werner
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On the coefficient of nonlinearity β in nonlinear acoustics
Journal of the Acoustical Society of America, 1988An analysis valid to second order in the acoustic variables is used to investigate the origin and form of the coefficient of nonlinearity β. Two cases are considered. First, for progressive plane waves, the well-known formula is β=1+B/2A, where B/2A is the coefficient of the quadratic term in the isentropic pressure–density relation.
Mark F Hamilton +2 more
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, 1990 If we include consideration of wave propagation in an ideal gas, we can trace the origin of theoretical nonlinear acoustics, at least as far back as Poisson’s work in 1808 [1]. The first experiments in air were done 1.27 centuries later [2]. With liquids Fox and Wallace [3] tried to explain experimental results on sound attenuation with a correct, but ...
M. A. Breazeale, Breaszeale, M.
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Well-posedness of a general higher order model in nonlinear acoustics
Applied Mathematics Letters, 2017 Barbara Kaltenbacher
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Journal of evolution equations (Printed ed.), 2020
The (third order in time) JMGT equation [Jordan (J Acoust Soc Am 124(4):2491–2491, 2008) and Cattaneo (C Sulla conduzione del calore Atti Sem Mat Fis Univ Modena 3:83–101, 1948)] is a nonlinear (quasi-linear) partial differential equation (PDE) model ...
Marcelo Bongarti +2 more
semanticscholar +1 more source
The (third order in time) JMGT equation [Jordan (J Acoust Soc Am 124(4):2491–2491, 2008) and Cattaneo (C Sulla conduzione del calore Atti Sem Mat Fis Univ Modena 3:83–101, 1948)] is a nonlinear (quasi-linear) partial differential equation (PDE) model ...
Marcelo Bongarti +2 more
semanticscholar +1 more source
Types of Acoustic Nonlinearities and Methods of Nonlinear Acoustic Diagnostics
2011Chapter 8 describes basic concepts of the mechanisms of acoustic nonlinearity. It emphasizes the role of anomalously large nonlinearities of multiphase, defective and structurally inhomogeneous media. It also reviews methods of nonlinear diagnostics — an application area, which has been intensively developing in recent years, as well as spheres of ...
S. N. Gurbatov +2 more
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