Numerical modeling of high‐intensity focused sound beams is important for medical
applications of ultrasound. The KZK equation, which may be modified to include relaxation …

A method for fast numerical simulation of high-intensity focused ultrasound beams is
derived. The method is based on the frequency-domain representation of the Khokhlov …

Numerical simulations based on the Khokhlov–Zabolotskaya‐type equation are currently
used to characterize therapeutic high‐intensity focused ultrasound fields in water and to …

A numerical solution of the KZK‐type parabolic nonlinear evolution equation is presented for
finite‐amplitude sound beams radiated by rectangular sources. The initial acoustic …

Simulation of focused ultrasound beams has been performed in weakly dissipative medium
for a wide range of source linear focusing gains and source pressure amplitudes, including …

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 …

In order to simulate focused ultrasound fields in nonlinear tissue, a full wave pseudospectral
finite difference model has been developed. Unlike models based on the KZK equation, this …

This study introduces a KZK-type model describing the nonlinear wave propagation due to
“slowly” modulated ultrasound excitation, where the ratio between the (dominant) …

The Khokhlov-Zabolotskaya-Kuznetsov (KZK) equation is a parabolic approximation to the
Westervelt equation that models the effects of diffraction, attenuation, and nonlinearity …

A time-domain numerical code based on the constitutive relations of nonlinear acoustics for
simulating ultrasound propagation is presented. To model frequency power law attenuation …