A new algorithm for nonlinear plane-wave propagation is presented. The algorithm uses a
novel time domain representation to account for nonlinearity, while accounting for …

In many domains of acoustic field propagation, such as medical ultrasound imaging,
lithotripsy shock treatment, and underwater sonar, a realistic calculation of beam patterns …

This paper derives a simple three‐dimensional time domain formulation for small angle
propagation of finite amplitude acoustic pulses and weak shocks in a medium that can be …

The scope of this thesis is to investigate the nonlinear physics fundamental to the
progressive distortion of a bounded finite amplitude ultrasonic beam. Emphasis is placed on …

This paper develops a two-dimensional (range and depth) theoretical-numerical model for
the simulation of nonlinear acoustic pulses and weak shocks in a refracting-diffracting …

A time domain equation for nonlinear sound propagation that makes use of a narrow angle
assumption is used to numerically simulate shock propagation through caustics. This …

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 …

This paper develops a two-dimensional (range and depth) formulation for small-angle
propagation of nonlinear acoustic pulses and weak shocks in a refracting medium which can …

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 …

A time‐domain computer algorithm that solves an augmented Burgers equation is
described. The algorithm is a modification of the time‐domain code developed by Lee and …