The coupling of waves between the piezoelectric generators, detectors, and propagating
media is challenging due to mismatch in the acoustic properties. The mismatch leads to the …

Model-based treatment planning and exposimetry for high-intensity focused ultrasound
requires the numerical simulation of nonlinear ultrasound propagation through …

A method for simulating forward wavefront propagation in heterogeneous tissue is
discussed. The intended application of this method is for the study of aberration produced …

The development and optimization of medical ultrasound transducers and imaging
modalities require a computational method that accurately predicts the nonlinear acoustic …

Recent clinical trials show promising results in using MRI and MRI‐based thermometry to
guide focused ultrasound surgery to treat uterine fibroids. During treatment, large variation in …

A model equation is derived for nonlinear medical ultrasound. Unlike the existing models,
which use spatial coordinates, material coordinates are used and hence a model for a …

A three-dimensional model of the forward propagation of nonlinear sound beams in
inhomogeneous media, a generalized Khokhlov-Zabolotskaya-Kuznetsov equation, is …

A k-space pseudospectral model is developed for the fast full-wave simulation of nonlinear
ultrasound propagation through heterogeneous media. The model uses a novel equation of …

A k-space method for moderately nonlinear wave propagation in absorptive media is
presented. The Westervelt equation is first transferred into k-space via Fourier …

Simulating the propagation of nonlinear ultrasound waves is computationally difficult
because of the dense grids needed to capture high-frequency harmonics. Here, a mapped k …