The popular KZK equation has been widely used to model the nonlinear acoustic wave field.
However, since it is based on a parabolic approximation, it has various limitations, both at …

A numerical model for simulating nonlinear pulsed beams radiated by rectangular focused
transducers, which are typical of diagnostic ultrasound systems, is presented. The model is …

Time domain algorithms that solve the Khokhlov--Zabolotzskaya--Kuznetsov (KZK) equation
are described and implemented. This equation represents the propagation of finite …

The work presented in this dissertation investigates numerical simulations that solve
nonlinear ultrasonic wave propagation in both the strongly nonlinear regime, where shocks …

A method is introduced for using measurements made in water of the nonlinear acoustic
pressure field produced by a high-intensity focused ultrasound transducer to compute the …

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 …

Different peak and average acoustic parameters determine the efficiency of different
physical mechanisms of high‐intensity focused ultrasound (HIFU) interaction with biological …

Nonlinear propagation of sound has been exploited in the last 15 years in medical
ultrasound imaging through tissue harmonic imaging (THI). THI creates an image by filtering …

A special analytical method, which combines the parabolic approximation (KZ equation) with
nonlinear geometrical acoustics, is developed to model nonlinear and diffraction effects near …

A numerical method that solves the KZK equation and satisfies the Rankine‐Hugoniot
relation for shock‐wave propagation is described and characterized. By comparison with a …