Numerical simulation of nonlinear acoustics and shock waves in a weakly heterogeneous
and lossless medium is considered. The wave equation is formulated so as to separate …

The simulation of nonlinear propagation of ultrasound waves is typically based on the
Kuznetsov-Zabolotskaya-Khokhlov equation. A set of simulators has been proposed in the …

Fractional derivatives are well suited to describe wave propagation in complex media. When
introduced in classical wave equations, they allow a modeling of attenuation and dispersion …

A wave-vector-frequency-domain method is presented to describe one-directional forward or
backward acoustic wave propagation in a nonlinear homogeneous medium. Starting from a …

The distributed point source method (DPSM) was recently proposed for ultrasonic field
modeling and other applications. This method uses distributed point sources, placed slightly …

Dynamic contrast enhanced ultrasound (DCE-US) is evolving as a promising tool to
noninvasively quantify relative tissue perfusion in organs and solid tumours. Quantification …

In therapeutic ultrasound, the presence of shock waves can be significant due to the use of
high intensity beams, as well as due to shock formation during inertial cavitation. Although …

Harmonic imaging, based on the propagated medium nonlinearity, is a clinical imaging
technique which increases the resolution of ultrasound images. The ultrasound measure of …

Accurate simulation of an intensive ultrasound beam requires taking nonlinear propagation
effects into account. A notable example in the field of biomedical ultrasound where the effect …

Résumé Propagation of nonlinear acoustic waves in inhomogeneous media is an important
problem inmany research domains of modern theoretical and applied acoustics. For …