We derive a family of exact bandlimited solutions of the homogeneous scalar wave equation
which is theoretically nondiffracting. Numerical simulations using the Rayleigh-Sommerfeld …

Ultrasound is widely used to image inside the body; it is also used therapeutically to treat
certain medical conditions. In both imaging and therapy applications the amplitudes …

A full-wave equation that describes nonlinear propagation in a heterogeneous attenuating
medium is solved numerically with finite differences in the time domain (FDTD). Three …

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 …

The propagation of high amplitude ultrasonic fields, such as those generated by some
medical ultrasound systems, is not adequately described by the linear wave equation …

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 …

This paper strictly demonstrated a nonlinear Helmholtz equation, with its corresponding new
expressions for the wave number of the mixture, for the propagation of sound trough a …

The effect of cumulative nonlinear distortions in a focused ultrasonic wave on the dissipative
radiation force (RF) is analyzed using a simplified analytical model separating the stages of …

The waveform of an initially sinusoidal ultrasonic wave of appreciable amplitude,
propagating in a liquid, is distorted. The degree of waveform distortion is determined by the …